Cédric Chauvière

Maitre de conférence

Contact Info:

Academic Background

Ph.D, Stabilized spectral element methods for the simulation of viscoelastic flows (Nov. 2001), EPFL, Switzerland

Thesis supervisor: Prof. R.G. Owens

Principal Research Interests

Spectral element methods

Numerical techniques for simulations of viscoelastic flows

• Stabilizing techniques for hyperbolic equations (SUPG, element-by-element method, bubble stabilization)
• Error indicators
• Time dependent simulations using a micro-macro approach (resolution of stochastic partial differential equations)
• Simulations of viscoelastic flows using Fokker-Planck equation

Time dependent simulations for Maxwell's equations (electromagnetism), in collaboration with Prof. J.S. Hesthaven

Refereed Journal Publications

Chauvière C., Hesthaven J.S., Wilcox L., Efficient computation of RCS from scatteres of uncertain shapes, IEEE Transactions on Antennas and Propagation, to appear (2007).

Chauvière C., Hesthaven J.S., Lurati L., Computational modeling of uncertainty in time-domain electromagnetics, SIAM J. Sci. Comput. 28(2), pp751-775 (2006).

Chauvière C., Lozinski A., Simulation of complex viscoelastic flows using Fokker-Planck equation: 3D FENE model, J. Non-Newtonian Fluid Mechanics, 122(1-3), pp201-214 (2004).

Chauvière C., Lozinski, A., Simulation of dilute polymer solutions using a Fokker-Planck equation, Computers and Fluids, 33, pp687-696 (2004).

Lozinski A., Chauvière C., A fast solver for Fokker-Planck equation applied to viscoelastic flows calculations: 2D FENE model, J. of Computational Physics, 189(2) pp607-625 (2003).

Chauvière C., Lozinski, A., An efficient technique for simulations of viscoelastic flows, derived from the Brownian configuration field method, SIAM J. Sci. Comput. 24(5), pp1823-1837 (2003).

Lozinski A., Chauvière C., Fang J., Owens R. G., A Fokker-Planck simulation of fast flows of concentrated polymer solutions in complex geometries, J. of Rheology, 47, pp535-561 (2003).

Owens R. G., Chauvière C., Phillips, T.N., A locally upwinded spectral technique (LUST) for viscoelastic flows, J. Non-Newtonian Fluid Mechanics, 108, pp49-71 (2002).

Chauvière C., A first error indicator for micro-macro simulations of viscoelastic flows, Comput. Meth. Appl. Mech. Engrg., 191, pp5579-5594 (2002).

Chauvière C., Owens R. G., A robust spectral element method for simulations of time-dependent viscoelastic flows, derived from the Brownian configuration field method, J. Sci. Comput. 17, pp191-199 (2002).

Chauvière C., A new method for micro-macro simulations of viscoelastic flows, SIAM J. Sci. Comput. 23(6), pp2123-2140 (2002).

Chauvière C., Owens R. G., A New Spectral Element Method for the Reliable Computation of Viscoelastic Flow, Comput. Methods Appl. Mech. Engrg. 190, pp3999-4018 (2001).

Chauvière C., Owens R. G., How accurate is your solution? Error indicators for viscoelastic flow calculations, J. Non-Newtonian Fluid Mechanics 95, pp1-33, (2000).

Submitted papers and preprints

Baroth J., Bressolette Ph., Chauvière C., Fogli M., An efficient SFE method using Lagrange polynomials: application to nonlinear problems with uncertain parameters, submitted.

Chauvière C., Owens R. G., A high-order SUPG scheme for viscoelastic flows derived from adjoint residual-free bubbles. Preprint.

Conference Proceedings

Chauvière C., Hesthaven J.S., Lurati L, Wilcox L., DG-FEM for CEM with uncertainty, Applied Computational Electromagnetics Society, ACES (2007).

Baroth J., Bressolette Ph., Chauvière C., Fogli M., High-dimensional integration formulas for efficient SFE methods, Proceedings of the International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP (2007).

Chauvière C., Hesthaven J. S., Lurati L., Computational modeling of uncertainty in time domain electromagnetics, Proceedings of Computational Electromagnetics in Time Domain CEM-TD, pp32-35 (2005).

Chauvière C., Hesthaven J. S., Kanevsky A., Warburton, T., High-order localized time integration for grid-induced stiffness, Proceedings of the Second MIT conference on Computational Fluid and Solid Mechanics Vol. II, pp1883-1886 (2003).

Chauvière C., Fang J., Lozinski A., Owens R. G., On the numerical simulation of flows of polymer solutions using high-order methods based on the Fokker-Planck equation, Int. J. Mod. Phys. B. 17, pp9-14 (2003).

Chauvière, C. and Owens R. G., Wiggle-free spectral element methods for non-Newtonian flows, Proceedings of the 16th IMACS World Congress, Lausanne, Switzerland (2000).

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