Curriculum Vitae. Olivier Pironneau. May 12, Ecole POLYTECHNIQUE from 1966 till DEA in Mathematical economics at INSTN in 1969.

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1 Curriculum Vitae Olivier Pironneau May 12, Olivier PIRONNEAU 35 rue de Bellefond PARIS Tel/fax : (33 1 ) Born on July 24, 1945 in Paris Education Ecole POLYTECHNIQUE from 1966 till DEA in Mathematical economics at INSTN in Master and PH. D, University of California, BERKELEY with Prof. E. POLAK in optimization and optimal control from August 1969 till December THESE D ETAT at l Universite Paris 6 with MM. DUVAUT and J.L. LIONS in Title: Optimum design in fluid mechanics. 1.2 Positions : Research assistant at the University of California, Berkeley : Research fellow at DAMTP - University of Cambridge, GB with Sir James Lighthill :Ingénieur de recherche at IRIA with Prof. J.L. Lions : Professeur 2ème classe at the Université Paris-13, departement of mathematics : Maître de conférence at Ecole Polytechnique (part time). 1

2 : Professeur 1ère classe àl Université Pierre et Marie Curie (Paris 6) au département d analyse numérique : Directeur scientifique à l INRIA (temps partiel) Conseiller scientifique à l INRIA (part time) : Professeur classe exceptionnelle at the Université Pierre et Marie Curie (Paris 6) and directeur du laboratoire d analyse numérique Conseiller Scientifique with the direction of INRIA for prospectives Member of CNE (commission nationale d évaluation pour le traitement des déchets nucléaires) Collaborateur extérieur witht the Direction Scientifique of CNES. Membre correspondant de l Institut (académie des sciences) Member of Institut Universitaire de France Adjunct Professor at the University of Houston Treasurer of ECCOMAS Member of the editorial board of Applied Mathematics Journal. Calcul Parallèle. Computational Fluid Dynamics journal, Computing and Visualization in Science Journal of Computational Mechanics, Int. J. Numerical Methods in Fluids, Journal on control and applied problems, M2AN. Recipient of the Prix Blaise Pascal and of the Ordre National du Mérite 2 RESEARCH 2.1 Key-words Numerical analysis: Finite Element methods, upwinding, preconditionning, mortar element for domain decomposition, mesh adaption, numerical meth- 2

3 ods for fluids; optimal control and optimum design algorithms, positive schemes for turbulence models. Partial Differential Equations : Optimal shape design for elliptic systems, multiple scale expansions for convection diffusion problems or for oscillating boundaries, effective boundary conditions, operator decomposition into grad and div fields, applications to fluid mechanics and electromagnetism. Fluid Mechanics: Turbulence modeling by homogenization, or two equation models, numerical methods for potential flows, the Shallow water equations and incompressible Navier-Stokes equations. Scientific Computing : Parallel computing by domain decomposition, software interfaces for PDE by language design, teaching and programming aids for PDEs in C History : Study of the speed of convergence of the methods of centers and the methods of feasible directions. Application to optimal control problems : Study of optimal shape problems for the partial differential equations of fluid mechanics (Stokes and Navier-Stokes problem) and for Maxwell s equations. Computation of the object with least drag with a given volume. Study of the motions of ciliated micro-organisms and proof that they swim by minimizing their energy : Application of the techniques of optimal control to the resolution of nonlinear partial differential equations such as the Transonic equations and the Navier-Stokes equations discretized by the finite element method. Study of abstract least square methods and discovery of the first finite element method applicable to the transonic equation over a full aircraft (in cooperation with R. Glowinski). Decompositions methods for the biharmonic operator and the Stokes operator for mixed finite element methods of low order; discovery and convergence proof of one of the best method to solves theses equations with minimal memory requirement (in cooperation with R. Glowinski) : Study of numerical methods for the Navier-Stokes equations. Proposition of an upwinding method based on the discretisation of the total derivative (Characteristics). Extention to compressible flows : Homogenization as a tool to build turbulence models Comparison with the k ɛ models; extentions to compressible fluids New techniques of computer science for numerical analysis: Parallelism, Object-oriented languages, computer graphics. Computed-aided de- 3

4 sign and interfaces with finite element softwares. Study of C ++ as a tool to speed up program development in scientific computing. Author of a userfriendly software using FEM for teaching (MacFEM) and research : Gfem Study of the decomposition of Helmoltz (u =gradφ+rotψ) for the numerical solution of the compressible stationnary Euler equations; proposition of an algorithm to correct potential flows. Extention of the method for the Navier-Stokes equations Study of Riblets. An attempt is made to explain the effect of laminar riblets on the drag of flat surfaces. The technique used is optimal control to find the derivative of criteria and show that they decrease in certain configurations Study of the k ɛ turbulence model from the numerical point of view. New stable algorithms were obtained for incompressible as well as for compressible flows Maxwell s equations for airfoil radar cross sections; effect of thin absorbing inhomogeneous coating; equivalent boundary conditions. Shape optimization for minimum scattering (with Yves Achdou) Study of boundary-layer / Euler matching by the χ-method. It an automatic process to determine the transition zone from Euler to Navier- Stokes during the computation of the flow (with Yves Achdou) Numerical algorithms for high Reynolds number flow with emphasis on airfoils. The basic tool is mesh adaption tuned to boundary layers and separation, coupling with boundary element methods and asymptotics on the pressure at the walls Study of the shallow water equations, its well posedness, the boundary conditions and the numerical simulations with methods derived from 3D Navier-Stokes (with C. Bernardi) The mortar element method for Parallelism. Its application to the Navier-Stokes equations and its evaluation for parallel computing using PVM (with Yves Achdou) Study of of average effects (wall laws) of thin surface irregularities. Applications to turbulent and boundary layers for fluids and to electromagnetically absorbing paint for airplanes. 3 A FEW PUBLICATIONS Here are some references among 100 publications approximately 1972 O. PIRONNEAU, E. POLAK: On the rate of convergence of certain methods centers. Mathematical Programming. Vol 2, No 2. April 4

5 O. PIRONNEAU, E. POLAK: A dual method for optimal control problems with initial and final boundary constraints. SIAM J. Control. Vol 11. No 3 August O. PIRONNEAU: On optimum profiles in Stokes flows. J. Fluid. Mech. Vol 59, part 1, p (1973) O. PIRONNEAU, D. KATZ: Optimal swimming of flagellated microorganisms. J. Fluid Mech. Vol 66 part ] p (1974) A. MARROCCO, O. PIRONNEAU: Optimum design with Lagrangian finite elements. Comp. Meth. in Appl. Math. and Eng. Vol.15 No.3 p (1978) R. GLOWINSKI, O. PIRONNEAU: Numerical methods for the first biharmonic problem. SIAM Review Vol 21 No 2, p (1979) M. BERCOVIER, O. PIRONNEAU: Error estimates for finite element solutions of the Stokes problem in the primitive variables. Numer. Math. 33, p (1979) R. GLOWINSKI, O. PIRONNEAU: On a mixed finite element approximation of the Stokes problem (I). Numer. Math. 33, p (1979) R. GLOWINSKI, J. PERIAUX, O. PIRONNEAU: An efficient preconditioning scheme for iterative numerical solutions of partial differential equations. Appl. Math. Modelling. Vol.4 p June O. PIRONNEAU: On the transport diffusion algorithm and its application to the Navier-Stokes equations. Numer. Math. 38, p (1982) D. McLAUGHIN, G. PAPANICOLAOU, O. PIRONNEAU: Convection of micro-structures. SIAM numer. anal.(1985) 1986 F. ELDABAGHI, O. PIRONNEAU: 3-D vector potential in numerical aerodynamics. Numer Math.48, O. PIRONNEAU : Numerical modelling of turbulent flows with two scales. J. Theoretical and Applied Mech. p

6 1987 F. ELDABAGHI, O. PIRONNEAU, J. PERIAUX, G. POIRIER: 2D/3D finite element solution of Euler equations with stream vector correction. Int J. for Numer Meth. in Fluids 7, G. ARUMUGAM, O. PIRONNEAU: On the problem of ribblets, J. Optimal Control and Applications C. BEGUE, B. CARDOT, O. PIRONNEAU: Simulation of turbulence with transient mean. Int J. Numer Meth. in Fluid O. PIRONNEAU, J. RAPPAZ: Numerical analysis for compressible viscous isentropic stationary flows. Impact vol. 1, S. GOPALSAMI, O. PIRONNEAU: C 1 interpolation of C 0 finite element surfaces. (Inria report 1989) M. DERRICO, O. PIRONNEAU: The incompressible Navier-Stokes eqs with extremely flat elements in the boundary layers. Int J. Num. Meth. Heat Fluid flow. Vol 1, p R. GLOWINSKI, O. PIRONNEAU: Finite Element Methods for Navier- Stokes equations Ann. Rev. Fluid Mech D. MACLAUGHIN, O. PIRONNEAU Some Notes on Periodic Beltrami fields in Cartesian geometry. J Math Phys 31(7) (1991) C. BERNARDI, O. PIRONNEAU: Numerical analysis for the shallow water equations. Comm in Partial Diff Eq. 16(1) (1991) A. BARON, O. PRONNEAU: Optimum design of a coupled Maxwell- Stream function flow problem. ECCOMAS proc conference, Bruxelles Sept 1992, C. Hirsch ed Y. ACHDOU, O. PIRONNEAU: The Chi Method for the Navier- Stokes equations. IMA J. Numer Anal. I3, Y. ACHDOU, O. PIRONNEAU: A fast solver for the Navier-Stokes eqs. in the laminar regime using Mortar FEM and BEM. R.I. 277, Ecole Polytechnique Y. ACHDOU, O. PIRONNEAU: A fast solver for the Navier-Stokes eqs. in the laminar regime using Mortar FEM and BEM. SIAM J. Numer. Anal. Vol 32, 4, pp985,

7 1995 S. DESHPANDE, O. PIRONNEAU: A Kinetic Fourier Scheme. Note CRAS t321, I, p , B. MOHAMMADI, O. PIRONNEAU, F. VALENTIN: Rough Interfaces and Wall Laws. Proc. CRM-Workshop on Euler/Navier-Stokes eqs. Montreal Sept F. HECHT, O. PIRONNEAU: Vector C++ Programming for the Finite Element Method. Proc. Conf. On Scientific Computing for the 21 century. J.L. Lions et al ed. (Tours 1997) Y. ACHDOU, O. PIRONNEAU, F. VALENTIN,: Effective boundary conditions for laminar flows over rough boundaries. Soumis a JCP N. DICESARE, O. PIRONNEAU, E. POLAK: Consistent approximation for an optimal design problem. (LAN-UPMC report). 3.1 Article written in 1997/98 [1] O. Pironneau: Scientific Computing in C++ (livre en preparation). Actuellement partiellement disponible sur le World Wide Web sous forme de cours réseau: [2] Y. Achdou, P. Letallec, O. Pironneau, F. Valentin: Constructing wall laws with Domain Decomposition or Asymptotic expansion techniques. Proc Conf on Applied math, Austin Texas, Jan (preprint Elsevier) [3] N. Dicesare, O. Pironneau, E. Polak: Consistent approximation for an optimal design problem. (Rapport LAN-UPMC, En préparation pour SIAM Numer Anal). [4] G. Medic, B. Mohammadi, O. Pironneau: Algorithmic issues for the k-epsilon turbulence model. (Rapport INRIA et en préparation pour JCP). [5] G. Abdoulaev, Y. Achdou,J.C. Hontand, Y. Kuznetsov,, O. Pironneau, C. Prud homm: Non matiching grids for fluids. Proc DDM11, Boulder, 7/97. C. Farhat ed. 7

8 [6] Scientific Computing with Gfem. Boletin SEMA. No 11, Sept 97. [7] Y. Achdou, O. Pironneau, F. Valentin: Active shape control versus boundary control. In commemoration of J.L. Lions seventieth birthday. F. Murat et al ed. Elsevier [8] Y. Achdou, O. Pironneau, F. Valentin: Effective boundary conditions for laminar flows over rough boundaries. submitted to JCP. [9] Y. Achdou, O. Pironneau, F. Valentin: Construction des lois de parois d ordre 1 et 2 pour des domaines rugueux par analyse asymptotique.rapport INRIA 3326 (Dec 97) [10] Y. Achdou, O. Pironneau, F. Valentin: Construction des lois de parois d ordre 1 et 2 pour des domaines rugueux par decomposition de domaine. Rapport INRIA 3350 (Fev 98). 3.2 Books 1983 O. PIRONNEAU: Optimal shape design of elliptic systems. Lecture notes in comp. physics. Springer U. FRISCH, J. KELLER, G. PAPANICOLAOU, O. PIRONNEAU ed. Macroscopic Modelling of Turbulent flows. Springer Lecture notes in Physics (Proc. workshop on Turbulence, Nice Dec. 1984) O. PIRONNEAU: The finite element methods for fluids. John Wiley. (in french: Méthodes d éléments finis pour les fluides. Masson, 1988) 1993 B. MOHAMMADI, O. PIRONNEAU: Analysis of the k-epsilon model. Masson-Wiley B. LUCQUIN, O. PIRONNEAU: Introduction au Calcul Scientifique (Masson ed) B. LUCQUIN, O. PIRONNEAU: Introduction to scientifique computing for engineers (Wiley ed) F. HECHT, O. PIRONNEAU: Scientific Computing in C++ (in preparation). 8

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