Edie Miglio Home Page


Edie Miglio		Address:	MOX, Dept. of Mathematics, Politecnico di Milano,
Edie Miglio			P.zza L. da Vinci 32, 20133 Milan, Italy.
			P.zza L. da Vinci 32, 20133 Milan, Italy.
Associate Professor in Numerical Analysis		Phone:	+39 02 23994600
		Email:	edie.miglio@polimi.it
		CV: Download CV (pdf)
			WWW: Google Scholar Page
			WWW: Google Scholar Page

Education
2000	Ph.D. in Applied Mathematics	Università degli Studi di Milano, Milano, Italy
		Dissertation Title: "Mathematical and Numerical modelling
		for Environmental Applications",
		Advisor: Prof. A. Quarteroni
1997	M.S., Aerospace Engineering	Politecnico di Milano, Milano, Italy
		Dissertation Title: "A 3D Multilayer finite-Element Shallow
		Water Model" (in italian),
		Advisor: Prof. A. Quarteroni
Publications
Refereed research papers
[J1]	L. Fontana, E. Miglio, A. Quarteroni, and F. Saleri. A finite element method for 3D hydrostatic water
	flows. Computing and Visualization in Science 2(2-3) (1999), 85-93. doi: 10.1007/s007910050031.
[J2]	E. Miglio, A. Quarteroni, and F. Saleri. Finite element approximation of quasi-3D shallow water equations
	Computer methods in applied mechanics and engineering 174(3) (1999), 355-369. doi: 10 . 1016 /
	S0045-7825(98)00304-1.
[J3]	P. Causin and E. Miglio. Parallel computing for the simulation of 3D free surface flows in environmental
	applications. Lecture Notes in Computer Science 2474 LNCS (2002), 78-88. doi: 10.1007/3-540-45825-
	5_21.
[J4]	P. Causin, E. Miglio, and F. Saleri. Algebraic factorizations for 3D non-hydrostatic free surface flows.
	Computing and Visualization in Science 5(2) (2002), 85-94. doi: 10.1007/s00791-002-0090-8.
[J5]	M. Discacciati, E. Miglio, and A. Quarteroni. Mathematical and numerical models for coupling surface
	and groundwater flows. Applied Numerical Mathematics 43(1) (2002), 57-74. doi: 10 . 1016 / S0168 -
	9274(02)00125-3.
[J6]	E. Miglio, A. Quarteroni, and F. Saleri. Coupling of free surface and groundwater flows. Computers &
	fluids 32(1) (2003), 73-83. doi: 10.1016/S0045-7930(01)00102-5.
[J7]	E. Miglio, A. Quarteroni, and F. Saleri. Mathematical Modelling of Free Surface flows. Quaderni di
	Matematica 10 (2003), 97-123.
[J8]	F. Caliò, E. Miglio, G. Moroni, and M. Rasella. Integral bivariate spline operators in computer
	graphics problems. Studia Universitatis Babes-Bolyai Mathematics XLIX(4) (2004), 43-52. http://www.
	cs.ubbcluj.ro/~studia-m/2004-4/calio.pdf.
[J9]	S. Perotto, E. Miglio, and F. Saleri. A multiphysics strategy for free surface flows. Lecture Notes in Compu-
	tational Science and Engineering 40 (2004), 395-402. doi: 10.1007/3-540-26825-1_40.
[J10]	E. Miglio, S. Perotto, and F. Saleri. Model coupling techniques for free-surface flow problems: Part I.
	Nonlinear Analysis: Theory, Methods & Applications 63(5) (2005), e1885-e1896. doi: 10 . 1016 / j . na .
	2005.03.083.
[J11]	E. Miglio, S. Perotto, and F. Saleri. Model coupling techniques for free-surface flow problems: Part II.
	Nonlinear Analysis: Theory, Methods & Applications 63(5) (2005), e1897-e1908. doi: 10.1016/j.na.2005.
	03.085.
[J12]	L. Formaggia, E. Miglio, A. Mola, and N. Parolini. fluid-structure interaction problems in free surface
	flows: Application to boat dynamics. International journal for numerical methods in fluids 56(8) (2008),
	965-978. doi: 10.1002/fld.1583.
[J13]	A. Decoene, L. Bonaventura, E. Miglio, and F. Saleri. Asymptotic derivation of the section-averaged shallow
	water equations for natural river hydraulics. Mathematical Models and Methods in Applied Sciences
	19(03) (2009), 387-417. doi: 10.1142/S0218202509003474.
[J14]	L. Formaggia, E. Miglio, A. Mola, and A. Montano. A model for the dynamics of rowing boats. International
	journal for numerical methods in fluids 61(2) (2009), 119-143. doi: 10.1002/fld.1940.

[J15]	C. Leupi, E. Miglio, M. Altinakar, A. Quarteroni, and M. Deville. A 3D finite element model for free-surface
	flows. Computers & fluids 38(10) (2009), 1903-1916. doi: 10.1016/j.compfluid.2009.05.003.
[J16]	F. Caliò, E. Miglio, and M. Rasella. Curve fairing using integral spline operators. International Journal for
	Numerical Methods in Biomedical Engineering 26(12) (2010), 1674-1686. doi: 10.1002/cnm.1253.
[J17]	L. Bonaventura, A. Iske, and E. Miglio. Kernel-based vector field reconstruction in computational fluid
	dynamic models. International Journal for Numerical Methods in fluids 66(6) (2011), 714-729. doi: 10.
	1002/fld.2279.
[J18]	E. Miglio and C. Sgarra. A finite element discretization method for option pricing with the Bates model.
	SeMA Journal 55(1) (2011), 23-40. doi: 10.1007/BF03322591.
[J19]	M. Cuffaro and E. Miglio. Asymmetry of thermal structure at slow-spreading ridges: Geodynamics and
	numerical modeling. Computers & fluids 68 (2012), 29-37. doi: 10.1016/j.compfluid.2012.07.028.
[J20]	L. Tamellini, L. Formaggia, E. Miglio, and A. Scotti. An Uzawa iterative scheme for the simulation of
	floating bodies. Computers & fluids 68 (2012), 148-158. doi: 10.1016/j.compfluid.2012.07.024.
[J21]	F. Caliò and E. Miglio. Constrained reconstruction of 3D curves and surfaces using integral spline operators
	Communications in Applied and Industrial Mathematics 4 (2013). doi: 10.1685/journal.caim.461.
Papers in conference proceedings
[P1]	F. Caliò, E. Miglio, G. Moroni, and M. Rasella. An improved B-spline approach for the surfaces recon-
	struction from data measured by CMM. In: Proceedings of ASPE Summer Topical Meeting on Coordinate
	Measuring Machines. Charlotte, North Carolina, USA. Charlotte, North Carolina, USA, June 2003, pp.26-
	32.
[P2]	E. Miglio, S. Perotto, and F. Saleri. Multiphysics coupling strategy for free surface flows. In: Proceedings
	of ADMOS2003. Goteborg, 2003, pp.1-10.
[P3]	E. Miglio and M. Rasella. An integral B-spline algorithm for curve and surface reconstruction. In: Pro-
	ceedings of the Eurographics Italian Chapter Conference. September 25-26, Milano, 2003, pp.1-6.
[P4]	Altinakar, M. Deville, C. Leupi, E. Miglio, and A. Quarteroni. A quasi 3D finite element shallow water
	flow with k-e turbulence model. In: Proceedings of ICHE. Brisbane - Australia, May 2004, pp.400-410.
[P5]	F. Caliò, E. Miglio, G. Moroni, and M. Rasella. Surface reconstruction using integral spline. In: Pro-
	ceedings of CIRP International Seminar on Intelligent Computation in Manufacturing Engineering. Sorrento,
	Italy, June 2004, pp.675-678.
[P6]	S. Perotto, E. Miglio, and F. Saleri. A coupling strategy for free surface flows. In: Proccedings of ECCO-
	MAS Conference, 4th European COngress on Computational Methods in Applied Sciences and Engineering.
	Jyvaskyla, July 2004, pp.1-10. http://www.mit.jyu.fi/eccomas2004/proceedings/pdf/583.pdf.
[P7]	V. Agoshkov, E. Miglio, and F. Saleri. Coupling of 2D and 1D Shallow Water Models by means of control
	theory. In: Proceedings of ADMOS2005. Barcelona, 2005, pp.191-194.
[P8]	C. Leupi, E. Miglio, and M. Altinakar. Three-dimensional numerical modelling of curved open channel
	using non-hydrostatic turbulent finite element solver for free-surface flows. In: Proceeding of the 3rd Int.
	M.I.T conference. Boston, MA, 2005, pp.726-733.
[P9]	E. Miglio and F. Saleri. Multiphysics methods in basin modeling. In: Proceedings of ADMOS2005.
	Barcelona, 2005, pp.281-290.
[P10]	A. Mola, L. Formaggia, and E. Miglio. Simulation of the dynamics of an olympic rowing boat. In: Pro-
	ceedings of ECCOMAS CFD 2006. Editors: P. Wesseling, E. Onate,˜ J. Periaux`. Egmond aan Zee, The
	Netherlands, 2006, pp.1-10. http://proceedings.fyper.com/eccomascfd2006/documents/407.pdf.
[P11]	E. Miglio and M. Rasella. A two steps fairing algorithm using lambda-spline. In: Proceedings of the 40th
	CIRP International Seminar on Manufacturing Systems. 30/05 - 01/06/2007, Liverpool (UK), 2007, pp.1-6
[P12]	E. Miglio, M. Altinakar, and G. Tayfur. Representation of linear terrain features in 2D free surface model
	using cut-cell boundary method. In: Proceedings of River flow 2008, International Conference on fluvial
	Hydraulics. Izmir, Turchia, 2008, pp.697-704.
[P13]	M. Altinakar, M. McGrath, Y. Ozeren, and E. Miglio. Representation of linear terrain features in a 2D
	flood model with regular cartesian mesh. In: Proceeding of the World Environmental and Water Resources
	Congress. Kansas City, 2009, pp.1-10. doi: 10.1061/41036(342)340. http://dx.medra.org/10.1061/
	41036(342)340.
[P14]	M. Altinakar, M. McGrath, Y. Ozeren, and E. Miglio. Two-Sided Cut-Cell Boundary Method for Simulating
	Linear Terrain Features and 1D Stream flows on a 2D Rectangular Mesh. In: Proceedings of the 33rd
	International IAHR Biennial Congress. Vancouver, Canada, 2009, pp.3959-3966.

[P15]	E. Miglio, M. Altinakar, and M. McGrath. Representation of dam-breach geometry on a regular 2D mesh
	using quadtree local mesh refinement. In: Proceedings of CMWR2010, XVIII International Conference on
	Water Resources. Barcelona, Spain, June 2010, pp.1-10. http : / / congress . cimne . com / CMWR2010 /
	Proceedings/docs/p84.pdf.
Book chapters
[BC1]	E. Miglio, S. Perotto, and F. Saleri. "A multiphysics strategy for free surface flows". In: Domain Decompo-
	sition Methods in Science and Engineering. Springer Berlin Heidelberg, 2005, pp.395-402.
[BC2]	L. Bonaventura, E. Miglio, and F. Saleri. "finite Volume Solvers for the Shallow Water Equations Using
	Matrix Radial Basis Function Reconstruction". In: Numerical Mathematics and Advanced Applications.
	Springer Berlin Heidelberg, 2006, pp.207-214.
[BC3]	E. Miglio and F. Saleri. "Geometric multiscale approach by optimal control for shallow water equa-
	tions." In: Applied and Industrial Mathematics in Italy II. Hackensack, NJ - USA: World Scientific, 2007,
	pp.537-548.
[BC4]	L. Formaggia, E. Miglio, A. Mola, and A. Scotti. "Numerical simulation of the dynamics of boats by a
	variational inequality approach". In: Variational Analysis and Aerospace Engineering. Springer New York,
	2009, pp.213-227.

Teaching Experience

-Academic Year 2001/2002:

1.Politecnico of Milan: "Numerical Methods for Design", Design Faculty, first year course, approx. 70 hrs and 200 students.

2.Laboratory for the course of "Numerical Analysis" given by Prof. A. Veneziani at the Universita` degli Studi di Bergamo, Engineering Faculty, fourth year course, approx. 20 hrs and 50 students.

-Academic Year 2002/2003:

1.Politecnico of Milan: "Numerical Methods for Design", Design Faculty, first year course, approx. 70 hrs and 200 students.

2.Laboratory for the course of "Numerical Analysis" given by Prof. A. Quarteroni at Politecnico of Milano, Engineering Faculty, second year course, approx. 35 hrs and 60 students.

-Academic Year 2003/04:

1.Politecnico of Milan: "Numerical Methods for Design", Design Faculty, first year course, approx. 70 hrs and 200 students.

2.Laboratory for the course of "Numerical methods for PDE" given by Prof. F. Saleri at Politecnico of Milano, Engineering Faculty, fourth year course, approx. 20 hrs and 60 students.

3.Laboratory for the course of "Numerical Analysis" given by Prof. A. Quarteroni at Politecnico of Milano, Engineering Faculty, second year course, approx. 35 hrs and 60 students.

-Academic Year 2004/05:

1.Politecnico of Milan: "Numerical Methods for Design", Design Faculty, first year course, approx. 70 hrs and 200 students.

2.Universita` degli Studi di Bergamo: "Numerical Analysis", Engineering Faculty, fourth year course, approx. 35 hrs and 50 students.

3.Universita` degli Studi di Bergamo: "Numerical methods for PDE", Engineering Faculty, Phd Course, approx. 20 hrs and 10 students.

-Academic Year 2005/06:

1.Politecnico of Milan: "Numerical Methods for Design", Design Faculty, first year course, approx. 70 hrs and 150 students.

2.Universita` degli Studi di Bergamo: "Numerical Analysis", Engineering Faculty, fourth year course, approx. 35 hrs and 50 students.

-Academic Year 2006/07:

1.Politecnico of Milan: "Numerical Methods for Design", Design Faculty, first year course, approx. 70 hrs and 150 students.

2.Universita` degli Studi di Bergamo: ‘Numerical methods for PDE", Engineering Faculty, Phd Course, approx. 20 hrs and 10 students.

3.Lectures (4 hrs) on Environmental fluid Dynamics in in the context of the course "fluidodinam- ica Numerica: metodi di base, sviluppi recenti, applicazioni", (Politecnico di Milano, Continuing Education Program).

-Academic Year 2007/08:

1.Introduction to FreeFEM++, Laboratories on Domain Decompostion Method and Introduction to Grid generation in the context of the course "Il Metodo degli Elementi finiti: Fondamenti e Appli- cazioni Avanzate in Ingegneria" (4 hrs) (Politecnico di Milano, Continuing Education Program).

2.Politecnico of Milan: "Numerical Methods for Design", Design Faculty, first year course, approx. 70 hrs and 150 students.

3.Introduction to Matlab and lecture on Basic Numerical Methods for Option Pricing using Matlab in the context of the master course "Energy finance & Commodity Trading", MIP, Politecnico di Milano, 10 hrs.

-Academic Year 2008/09

1.Politecnico of Milan: "Numerical Methods for Design", Design Faculty, first year course, approx. 70 hrs and 150 students.

2.Introduction to Matlab and lecture on Basic Numerical Methods for Option Pricing using Matlab in the context of the master course "Energy finance & Commodity Trading", MIP, Politecnico di Milano, 10 hrs.

-Academic Year 2009/10

1.Politecnico of Milan: "Numerical Methods for Design", Design Faculty, first year course, approx. 70 hrs and 150 students.

3.Universita` di Bologna: "Numerical methods for PDE", Civil Engineering Faculty, fourth year course, approx. 30 hrs and 40 students.

-Academic Year 2010/11

1.Politecnico of Milan: "Numerical Methods for Design", Design Faculty, first year course, approx. 70 hrs and 150 students.

3."Introduction to CFD", INdAM Intensive period on Analytical and Numerical Problems in fluid Dynamics and Applications, Catania, 12 hrs.

-Academic Year 2011/12

1.Politecnico of Milan: "Numerical Methods for Design", Design Faculty, first year course, approx. 70 hrs and 150 students.

3.Politecnico di Milano: "Computer Animation", Design Faculty, third year course, approx 30 hrs and 50 students.

-Academic Year 2012/13

1.Politecnico of Milan: "Numerical Methods for Design", Design Faculty, first year course, approx. 70 hrs and 150 students.

3.Politecnico di Milano: "Computer Animation", Design Faculty, third year course, approx 30 hrs and 50 students.

4.Politecnico di Milano: "Analytical and Numerical methods for PDE" (Numerical part), Mathematical Engineering, third year course, approx. 30 hrs and 60 students.

5.Politecnico di Milano: "Numerical Modelling of Geological Processes", PhD course, 10 hrs.

-Academic Year 2013/14

1.Politecnico of Milan: "Numerical Methods for Design", Design Faculty, first year course, approx. 70 hrs and 150 students.

3.Politecnico di Milano: "Computer Animation", Design Faculty, third year course, approx 30 hrs and 50 students.

4.Politecnico di Milano: "Analytical and Numerical methods for PDE" (Numerical part), Mathemati- cal Engineering, third year course, approx. 30 hrs and 60 students.

Invited talks in conferences and workshops

1.Grenoble, 8/2/2006, LMC-IMAG, "Multi-dimensional coupling strategies in hydrodynamic application" in the context of the workshop "Numerical Modeling for floods"

2.Berlin, 7/7/2010, Freie Universitat Berlin, "Representation of Linear Terrain Features in a 2D flood Model with Regular Cartesian Mesh using Ghost fluid Method", in the context of the workshop "Cut Cell Method for Atmosphere and Ocean Modeling"

3.Milan, 1/12/2010, Politecnico, Dip. di Matematica, "Global Scale Plate Motions: From Geodynamics To- wards Numerical Modeling" in the context of the workshop "Modelli Numerici per Equazioni Diﬀeren- ziali"

4.Messina, 17/2/2011, "Central schemes for hydrodynamic applications" in the context of the conference IPERME11

5.Minneapolis, 10/3/2011, IMA - University of Minnesota, "Numerical assesment of swimsuit perfor- mance" in the context of the workshop "Computing in Image Processing, Computer Graphics, Virtual Surgery, and Sports"

6.Trieste, 23/2/2012, SISSA, "Numerical modelling of competition rowing boats" in the context of the workshop "Free Surface flows: Numerical Methodologies and Application to Naval Architecture".

7.Bilbao, 12/3/2013, BCAM, "Tectonic evolution at mid-ocean ridges: geodynamics and numerical model- ing", in the context of the workshop "HPC-GA: High Performance Computing for Geophysics Applica- tions"

8.Seville, 25/6/2013, Universidad Loyola Andalucia, "Tectonic evolution at mid-ocean ridges: geodynam- ics and numerical modeling", in the context of the conference NUMACH2013

9.Aachen, 23/9/2013, RWTH, "A family of variational time integrators for shallow water equations with source terms", in the context of the conference NUMHYP2013.

Invited talks

1.Messina, 6/2/2002, Accademia Peloritana dei Pericolanti, Mathematical and Numerical Modelling for Free Surface flows

2.Messina, 7/2/2002, Accademia Peloritana dei Pericolanti, Coupling of fluid flow with porous media flow

3.Lausanne, 20/3/2002, EPfl, LHR, Some multiscale and multiphysics issues in hydrodynamics

4.Grenoble, 19/5/2005, LMC-IMAG, Multiscale methods in hydrodynamics

5.5. Oxford, MS, USA, 21/9/2007, University of Mississippi, NCCHE, Hyperbolic Systems for MobileBed, FreeSurface flow Modelling in Arbitrary Cross Sections

6.Brescia, 17/7/2008, Seminario Matematico di Brescia, Universita` Cattolica, Dip. di Matematica e fisica, Representation of linear terrain features using a ghost fluid method

7.Desenzano del Garda, 25/08/2008, Modeling and Simulation of Hydrogeological phenomena

8.Catania, 24/2/2009, Scuola Superiore di Catania, Numerical methods for flood simulations

9.Torino, 3/3/2009, Dip. di Matematica, finite Volume-Ghost fluid Method for flood simulation

10.Oxford, MS, USA, 19/8/2009, University of Mississippi, NCCHE, Asymptotic Derivation of the Section- Averaged Shallow Water Equations for Natural River Hydraulics

11.Bologna, 11/5/2010, CIRAM, Universita` di Bologna, Kernel-based vector field reconstruction in compu- tational fluid dynamic models

12.Oxford, MS, USA, 17/3/2011, University of Mississippi, NCCHE, Tectonic Evolution at Mid-Ocean Ridges: Geodynamics and Numerical Modeling

13.Chatou, France, 21/2/2012, EDF, Coupling Strategies in Hydrodynamics

14.Oxford, MS, USA, 14/6/2012, University of Mississippi, NCCHE, Mathematical and Numerical Models for the simulation of floating bodies and application to rowing boats

15.Seville, 22/2/2013, Seville University, Optimal transportation mesh-free method: a mesh-free method for fluid flows.

16.Bordeaux, 13/2/2013, INRIA Bordeaux, "Galerkin Variational Integrators for Solid and fluids Mechanics".

Conference Presentations

1."Numerical Modeling of Free Surface Hydrodynamics", AMIF98, Applied Mathematics for Industrial flow Problems, San Feliu de Guixols, Spain, October 1998,

2."finite Elements Approximation for Quasi-3D hydrodynamics equations", 4th Workshop on Compu- tational and Applied Methods for Oceanic, Atmospheric and Ground-water flows, USGS Denver, Col- orado (USA), September 1998:

3."A finite Element Scheme for Quasi-3D Shallow Water Equations", SIMAI98, Giardini Naxos (Messina), Italy, June 1998:

4."Coupling strategies in hydrodynamics: an a priori approach", Convegno IPERPISA, Pisa, Italy, October 21 2004.

5."Multidimensional coupling in hydrodynamics", Adaptive modeling in hydrodynamics. ECMI 2004, the 13th European Conference on Mathematics for Industry, Eindhoven, June 25 2004.

6."Adaptive modeling for unsteady nonlinear hydrodynamics: an application to a channel network", WCNA 2004, Fourth World Congress of Nonlinear Analysts, Orlando, florida, USA, July 2 2004.

7."Coupling Strategies for Free-surface flows", ECCOMAS 2004, 4th European Congress on Computa- tional Methods in Applied Sciences and Engineering, Jyvaskylä, Finland, July 25 2004.

8."Multiscale and multiphysics modelling in hydrodynamics", Workshop MODECI, Rende (CS), March 31 2004.

9."An a-priori approach for the coupling of hydrodynamics models", GNCS Conference, Montecatini, February 10 2004.

10."Multiphysics approach for free surface problems", Convegno UMI, Milano, September 12 2003.

11."An integral B-Spline algorithm for curve and surface reconstruction", Eurographics Italian Chapter 2003, Milano, September 25-26 2003.

12."Shape reconstruction and fairing using univariate and bivariate integral spline operators", MeGAI 2006, Workshop on Geometrical Methods in Industrial Applications, Bologna, March 4 2006.

13."Construction and Analysis of a Particular Bivariate Integral Spline Operator", SIAM Conference on Ge- ometric Design and Computing, November 2005, Phoenix, Arizona (USA).

14."Representation of Linear Terrain Features in 2D Free Surface Models using Ghost fluid Method ", EC- COMAS 2008, July 2008, Venice, Italy.

15."Representation of Linear Terrain Features in a 2D flood Model with Regular Cartesian Mesh", SIAM GS09, June 2009, Leipzig, Germany.

16."Representation of Linear Terrain Features in a 2D flood Model with Regular Cartesian Mesh", Third FIMA Conference on Regional Protection and Management of Environmental Risks, January 2009, Gressoney-Saint-Jean, Italy.

17."Representation of Dam-breach Geometry on a Regular 2-D Mesh using Quadtree local Mesh Refine- ment", CMWR2010, June 2010, Barcelona, Spain.

18."Representation of Linear Terrain Features in 2D Free Surface Models using Cut Cell Boundary Method", Riverflow 2008, September 2008, Izmir, Turkey.

19."Integral tensor spline bases for free form surfaces", Workshop "New Frontiers in CAGD", May 2010, Bertinoro, Italy.

20."Immersed Boundary Method for flood Simulation", SIAM GS11, March 2011, Long Beach, California, USA.

21."Level Set Immersed Boundary Method For The Solution Of Shallow Water flow", CMWR2012, June 2012, Urbana-Champaign, USA.

22."Ghost fluid method applied to the solution of Shallow Water Equations in complex domains", Work- shop "Numerical Aspects of Hyperbolic Balance Laws and Related Problems", April 2012, Ferrara, Italy.

23."Multidimensional Coupling for Shallow Water flows", SIAM GS 13, June 2013, Padova, Italy.

24."Multidimensional Coupling for Shallow Water flows", ECMI 2014, June 2014, Taormina, Italy.

25."Multiscale model of rift dynamics", SIMAI2014, June 2014, Taormina, Italy.

Posters

1.Edie Miglio, Simona Perotto and Fausto Saleri "Multiphysics modeling for free-surface flows", MODECI, Rende (CS), Italy, 2004.

2.Marco Cuffaro, Carlo Doglioni, and Edie Miglio "Tectonic Evolution at Rift Zones: Geodynamics and Numerical Modeling", SIAM GS11, Long Beach, California, USA, 2011.

3.Miglio Edie and Mattia Penati, "Multigrid preconditioner for saddle point problems with highly variable coefficients", PASC 2014, Zurich, Switzerland, 2014.

Organization of workshops and minisymposia

1.Workshop "Numerical modeling for scientific computing and advanced applications", Dip. di Matematica, Politecnico di Milano, July 2nd 2004.

2.Minisymposium in collaboration with A. Veneziani, "Advances on Computational Hemodynamics" in ECMTB2002

3.Minisymposium in collaboration with T. Chacon-Rebollo, "Numerical Modelling of Hydrodynamic Geophysical flows" in ECCOMAS2008

4.Minisymposium in collaboration with M. Altinakar, "Advances in Mathematical and Numerical Methods for Shallow Water flows and Applications", in SIAM GS 13

5.Minisymposium in collaboration with C. Doglioni, "Geodynamics Modeling: Mathematics, Numerics and HPC", in SIAM GS13

6.Member of the Local Organizing Committee of SIAM GS13.

Service

1.Member of the scientific committee of SIMHYDRO Conferences (http://www.simhydro.org).

2.Member of the evaluation committee for an Assistant Professor Position in Numerical Analysis at Uni- versity of Messina (2008).

3.Member of the evaluation committee for the Ph.D. thesis of C. Leupi at EPfl (2005).

4.Member of the evaluation committee for the Ph.D. thesis of M. Lombardi at EPfl (2012).

5.Member of the evaluation committee for the Ph.D. thesis of A. Agosti at University of Milan (2013).

6.Member of the evaluation committee for the Ph.D. thesis of M.L. Saetra at University of Oslo (2014).

Review activities

-Advances in Water Resources

-Computer and fluids

-Water Resources Research

-Calcolo

-Journal of Computational Physics

-Tectonics

-International Journal of Environment and Pollution

-Communications in Applied and Industrial Mathematics

-Numerical Methods for Partial Diﬀerential Equations

-Mathematics and Computers in Simulation

-Journal of Petroleum and Gas Engineering

-Journal of Zhejiang University Science C (Computers & Electronics)

-Chemical Engineering Science

-SIAM Journal Scientific Computing

-ESAIM: Mathematical Modelling and Numerical Analysis

-Journal of Sediment Research

-Journal of Hydrologic Engineering

-Applied Mathematics and Computation

Ph.D. theses supervised

1.Advisor of the thesis "Mathematical and numerical modeling in geodynamic applications", by Penati M., Ph.D. in Mathematical Models and Methods in Engineering, Politecnico di Milano A.Y. 2013-14.

Master theses supervised

1.Co-advisor of the thesis "Un modello Quasi-Idrostatico per la simulazione di correnti idrodinamiche" by L. Fontana, Aerospace Engineering Degree, Politecnico di Milano, A.Y. 1997-98, advisor Prof. A. Quarteroni.

2.Co-advisor of the thesis "Accoppiamento numerico tra modelli 3D per fluidi a superficie libera e mod- elli per la filtrazione in mezzi porosi" by T. Ponta, Aerospace Engineering Degree, Politecnico di Milano, A.Y. 1998-99, advisor Prof. A. Quarteroni.

3.Co-advisor of the thesis "Approssimazione numerica di modelli multistrato per fluidi a superficie libera" by E. Lazzaroni, Mathematics Degree, Universita` degli Studi di Milano, A.Y. 1999-2000, advisor Prof. F. Saleri.

4.Co-advisor of the thesis "Approssimazione Numerica ed implementazione in ambiente object-oriented di un modello per la filtrazione in mezzi porosi" by L. Castelli, Mathematics Degree, Universita` degli Studi di Milano, A.Y. 1999-2000, advisor Prof. F. Saleri.

5.Co-advisor of the thesis "Comunicare la geometria" by C. Turri, Industrial Design Degree, Politecnico di Milano, A.Y. 2004-05, advisor Prof. N. Ceccarelli.

6.Co-advisor of the thesis "Tecniche di controllo per le equazioni delle acque poco profonde" by M. Calori, Aerospace Engineering Degree, Politecnico di Milano, A.Y. 2005-06, advisor Prof. F. Saleri.

7.Co-advisor of the thesis "Applicazioni della Diﬀerenziazione Automatica alla analisi di sensitivit delle soluzioni di problemi fluidodinamici" by F. Boschetto, Aerospace Engineering Degree, Politecnico di Milano, A.Y. 2006-07, advisor Prof. L. Formaggia.

8.Co-advisor of the thesis "Un approccio variazionale per il vincolo di galleggiamento applicato alla di- namica di imbarcazioni" by A. Paradiso, Aerospace Engineering Degree, Politecnico di Milano, A.Y. 2005-06, advisor Prof. L. Formaggia.

9.Co-advisor of the thesis "Modellizzazione matematica e numerica della dinamica di una imbarcazione da canottaggio" by L. DelGrosso, Aerospace Engineering Degree, Politecnico di Milano, A.Y. 2005-06, advisor Prof. L. Formaggia.

10.Co-advisor of the thesis "Modellistica mono e bidimensionale di reti di canali" by M. Mantovanelli, Aerospace Engineering Degree, Politecnico di Milano, A.Y. 2005-06, advisor Prof. A. Quarteroni.

11.Co-advisor of the thesis "Dinamica dei fluidi di secondo gradiente" by G. Giusteri, Physics Degree, Uni- versita` Cattolica del Sacro Cuore di Brescia, A.Y. 2007-08, advisor Prof. A. Marzocchi.

12.Co-advisor of the thesis "Verification and Validation of the OpenFOAM library for external aerodynamics flows" by D. Bonetti, Aerospace ENgineering Degree, A.Y. 2007-08, advisor Prof. L. Formaggia.

13.Co-advisor of the thesis "Modellazione numerica della dinamica di imbarcazioni tramite vincolo uni- latero sulla superficie libera" by M. Altieri, Mathematical Engineering Degree, Politecnico di Milano, A.Y. 2008-09, advisor Prof. L. Formaggia.

14.Co-advisor of the thesis "Una metodologia di redesign in campo nautico basata sul reverse modeling" by A.B. Akpulat, Industrial Design Degree, Politecnico di Milano, A.Y. 2008-09, advisor Prof. G. Guidi.

15.Advisor of the thesis"Modellistica matematica e numerica per la verifica di ipotesi relative alla tettonica delle placche" by A. Stefanoni, Mathematical Engineering Degree, Politecnico di Milano, A.Y. 2008-09.

16.Advisor of the thesis "Metodi a volumi niti centrati well balanced per la soluzione delle equazioni delle Shallow Water" by D. Ferrarese, Mathematical Engineering Degree, Politecnico di Milano, A.Y. 2009-10.

17.Co-advisor of the thesis "Modellistica fisico-Matematica e simulazioni numeriche dei processi di subduzione" by R. Penta, Physics Degree, Universita` Cattolica del Sacro Cuore di Brescia, A.Y. 2009-10, ad- visor Prof. A. Marzocchi.

18.Advisor of the thesis "Metodi Immersed Boundary ai volumi finiti centrali per il sistema delle acque basse" by S. Rinco, Mathematical Engineering Degree, Politecnico di Milano, A.Y. 2010-11.

19.Co-advisor of the thesis "Sperimentazione e valutazione di OpenCL su piattaforme parallele per un metodo a volumi finiti per le acque basse" by R. Stramare, Computer Science Engineering Degree, Politecnico di Milano, A.Y. 2010-11, advisor Prof. L. Breveglieri.

20.Co-advisor of the thesis "Simulazione della dinamica di imbarcazioni da canottaggio usando geometrie reali e integrazione con la dinamica dei vogatori" by S. Palamara, Mathematical Engineering Degree, Politecnico di Milano, A.Y. 2011-12, advisor Prof. L. Formaggia.

21.Advisor of the thesis "Multigrid preconditioning techniques for saddle point problems with highly variable coefficients" by F. Cattoglio, Mathematical Engineering Degree, Politecnico di Milano, A.Y. 2013-14.

22.Advisor of the thesis "A mesh interpolation and upscaling algorithm for three dimensional basin modeling" by L. Pasquale, Mathematical Engineering Degree, Politecnico di Milano, A.Y. 2013-14.

First Level theses supervised

1.Advisor of the thesis "Modello Numerico per la dinamica di corpi galleggianti applicato alle canoe da regata: accoppiamento del modello dinamico con un codice 3D a superficie libera" by D. Bonetti and L. Cartasegna, Aerospace Engineering Degree, Politecnico di Milano A.Y. 2004-05.

2.Advisor of the thesis "Formulazione ed implementazione di un metodo ad elementi discreti per la gran- ulodinamica" by K. Sztekiel, Mathematical Engineering Degree, Politecnico di Milano, A.Y. 2005-06.

3.Advisor of the thesis "Applicazione di modelli 1D e 3D in problemi di idrodinamica lacustre e fluviale" by D. Ferrarese and A. Denna Mathematical Engineering Degree, Politecnico di Milano, A.Y. 2006-07.

4.Advisor of the thesis "Uso di Spline nella ricostruzione e fairing di curve e superfici" by D. Cagnoni, Mathematical Engineering Degree, Politecnico di Milano, A.Y. 2008-09.

5.Advisor of the thesis "Individuazione di sorgenti inquinanti nei mezzi porosi mediante l’uso delle equazioni aggiunte" by F. Grossi and F. Cattoglio, Mathematical Engineering Degree, Politecnico di Mi- lano, A.Y. 2008-09.

6.Advisor of the thesis "Superfici minime: applicazioni in architettura" by A. Santucci, Mathematical En- gineering Degree, Politecnico di Milano, A.Y. 2009-10.

7.Co-advisor of the thesis "Equazioni paraboliche per lo studio della filtrazione in mezzi porosi" by L. Villani, Civil Engineering Degree, Politecnico di Milano, A.Y. 2010-11, advisor Prof. D. Lupo.

8.Advisor of the thesis "Algoritmi di Computer Vision nella ricostruzione del moto di atleti: una appli- cazione al canottaggio" by G. Casati, Mathematical Engineering Degree, Politecnico di Milano, A.Y. 2010-11.

Industrial Projects

1.PI of the project with Re.Al. Service P.I.E. "Development of Decision Support System for the manage- ment of environmental emergencies". The aim of the project is to develop a DDS (Decision Support Sys- tem) for the management of environmental emergencies: in this context statistical analysis of historical

data are carried out and prediction algorithm are going to be developed. Moreover the DSS will include also simplified models for the simulation of advection-diﬀusion of pollutant into the ground.

2.PI of the project with GE-Nuovo Pignone: Computation of eigenfrequencies of blades of steam turbines. The aim of the project is the development of a parallel software for the computation of the eigenfre- quencies of a cascade of blades starting from the geometry of the blades and of the cascade.

3.PI of the project with ENI E&P Division: Mathematical and Numerical model of post-glacial rebound". The Glacial-Isostatic-Adjustment phenomenon describes the processes that tend to restore an equilib-

rium state on the Earth surface when an ice-load is present. These processes are evident in many areas of the Earth surface and they have been studied for diﬀerent purposes e.g. define the ice extension and the sea-level during various geological periods and for assessing the rheological properties of the Earth. The above mentioned phenomenon is very important in petroleum engineering. This project aims at the development of a prototype software for the simulation of the GIA.

4.PI of the project with ENI E&P Division: Mathematical and Numerical modeling of plate tectonics. The project aimed at the development of new mathematical and numerical models for the simulation of plate tectonics. The first mathematical model that has been developed is a based on the so-called fluid approximation in which the dynamics of the rocks over long time scale can be approximated us- ing the Stokes system with temperature dependent viscosity (visco-plastic model); a new mixed formu-

lation for the Stokes problem along with a suitable preconditioning technique have been developed in order to solve eﬃciently the problem at hand. A parallel code based on Deal.II library has been imple- mented. A multiscale model for the simulation of oceanic rift has also been developed. The second step

of the project was related to the study of the continental margins in which the fluid approximation is no longer valid hence elastic eﬀects have to be included. In this sense a new family of variational time integrators for the solution of the elasticity problem has been developed, analyzed and implemented into an Octave package; moreover a preliminary GPU implementation has been realized.

5.PI of the project with COMES: Development of optimization algorithm for the production of opti- cal lenses. The project aimed at the development of eﬃcient and optimized algorithm to design toric lenses. In this context a new prototype software has been developed; the algorithm has been imple- mented into NC (Numeric Control) machine to produce real lenses.

6.PI of the project with filippi Lido Srl: Development of algorithm for motion capture and application to acquisition of motion of athletes". During the project computer vision algorithms have been used for developing a prototype software able to automatically capture the motion of some markers placed on the body of the athletes using simple videos as input.

7.Co-PI of the project with filippi Boats: "Modeling of the dynamics of rowing boats". The project aim at the development of a complete model for the simulation of the dynamics of a rowing boat. In par-

ticular during the project a detailed dynamical system describing the dynamics of the rowers has been developed. This model has been coupled to diﬀerent CFD solver (commercial and in-house) for the sim- ulation of the fluid-structure interaction between the boat and the water. The code has been extensively tested and verified using experimental data.

8.Collaboration to the project with Ametek-TaylorHobson: "Development of algorithms and software for cam profile analysis". In this project a tool for cam profiles analysis has been developed: the tool starting from a set of measured point reconstructs the cam profile and analyzes the error with re- spect to a nominal shape. More information (in italian) on the project can be found at this link.

9.Collaboration to the the project with ENI E&P Division: "Mathematical and Numerical modeling of salt tectonics". Various types of oil traps have been found to be associated with salt domes in subsurface geology. In this project the diapiric rise of light salt layers through a denser overburden has been modeled assuming that, in a geological time scale, salt and rocks layers behave like Newtonian fluids. A Lagrangian approach has been adopted to track the interface between layers, within the framework of a finite element space discretization. An accurate description of large deformations due to salt movement has been achieved using a grid adaptation technique based on geometrical refinement.

10.Collaboration to the project with ENEL Hydraulic and Structural Division: "Development of a software for the simulation of 3D water flows". In this project the mathematical and numerical model developed in [J2] and [J1] has been implemented into a parallel code.

Awards

1. Prize Young Researchers 2006, Department of Mathematics, Politecnico di Milano

Research activities

Free surface flow

In [J2] and [J1] a new finite element method for the solution of the hydrostatic 3D Shallow water equations has been proposed. The method has been also ported to parallel architectures using MPI and the results of the parallelizzation along with some applications to real cases are reported in [J3]. In order to consider a wider range of applications the hydrostatic approximation has to be removed: in [J7] a review of the math- ematical models for free surface flow is reported along with a proposal for the development of a non hydro- static free surface model. An eﬃcient method for the solution of the non hydrostatic model is reported in [J4] where a suitable algebraic factorization procedure is introduced: essentially the idea is to generalize to the 3D non hydrostatic free surface equations the algebraic Chorin-Temam and the Yosida methods. The inclusion of a k turbulence model has been considered in [J15], [P8] and [P4].

Multiscale and multiphysics modeling

In the context of hydraulics and hydrology there are many phenomena requiring a multiphysics or a multi- scale approach to be properly described or solved. In particular the study has been focused on two issues: the surface and groundwater coupling and the multiscale modelling of free surface flow. It must be noticed that surface water and groundwater are not separate and independent and hence, in order to simulate real-world situations (such as the relation between a lake and an aquifer), a proper multiphysics model has to be developed. In this sense in [J5] and [J6] a coupling strategy between the 3D Shallow water (hydrostatic or not) and the Darcy equation has been proposed and analyzed. The multiscale modeling of free surface flow has been considered in [J9] and [J10]: in these papers a suitable set of boundary conditions and a coupling algorithm have been developed in order to couple 1D and 2D shallow water models; moreover in [J11] a goal-oriented adaptive method for dynamic coupling of 1D and 2D models has been studied. A further coupling strategy based on control theory has been proposed in [P7] and [BC3]. In [P12], [P13], [P14] and [P15] a novel approach based on the Immersed Boundary Method has been proposed for the representation of 1D features in 2D shallow water models: the method has been widely tested and it is implemented in the DSS-WISE model currently used by several federal and state agencies in USA (for more information about the project see this link). In [J13] a rigorous asymptotic analysis has been carried out to derive 1D averaged section model for open channel flow starting from the 3D free surface Navier-Stokes equations: this research is the first step for the development of a robust and mathematically sound coupling between 1D and 3D free surface model.

Dynamics of floating bodies

In [J12] a fluid structure algorithm has been developed to describe the dynamics of floating objects: in particular the algorithm has been applied to boat dynamics. The same idea has been exploited in [J20] and [BC4]: a new algorithm based on the Uzawa method and on the 3D Shallow water model developed in [J2] has been proposed for the simulation of general floating objects. In [J14] the previous mentioned fluid-structure algorithm has been coupled with a dynamical system for the simulation of the dynamics of rowing boats account- ing for the motion of the rowers.

Interpolation and reconstruction methods

In [J17] and [BC2] a new method based on Radial Basis Function for the interpolation of vector fields has been introduced and studied. The method has been efficiently applied for the reconstruction of velocity vec- tor field in the context of free surface Navier-Stokes code based on a Lagrange-Galerkin method. In [J16] and [J21] a particular family of integral splines has been introduced and used for the reconstruction of curves (in 2D and in 3D) and surfaces starting from a cloud of points; industrial applications of this method are re- ported in [P3], [P5] and [P11].

Computational geodynamics

In [J19] a 2D mathematical and numerical model for the simulation of oceanic rift is presented: the model is essentially a Stokes system with a non-Newtonian rheology where the viscosity is a complex nonlinear function of the temperature. Some 2D parallel (using MPI) numerical simulations for temperature-dependent mantle viscosity flow field beneath lithospheric plates that thicken with age have been carried out, evaluating tectonic evolution at mid-ocean ridges (MORs), useful to investigate the geometry of mantle upwelling and lithospheric thickness. The results have given new insights about the asymmetrical structures observed be- neath MORs. This is an ongoing research in collaboration with the Department of Geology of Sapienza Uni- versity in Rome and with Eni.

Languages

Language	Written	Spoken

Italian	mother tongue	mother tongue
English	Excellent	fluent

Computer skills

Programming languages		Fortran, C++, Java, Python, CUDA
Operating systems		Windows, Unix, Linux
Scientific software		Matlab, Octave, Comsol, fluent, Paraview
Scientific libraries		FEniCS, Deal.II, FreeFEM