Cédric Chauvière

Visiting Assistant Professor

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. and 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. and 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. and Lozinski, A., Simulation of dilute polymer solutions using a Fokker-Planck equation, Computers and Fluids, to appear (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. and 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. and 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. and 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. and 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

Chauvière, C. and Lozinski, A., Simulation of complex viscoelastic flows using Fokker-Planck equation: 3D FENE model, submitted to J. Non-Newtonian Fluid Mechanics.

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

Chauvière C., Fang J., Lozinski A. and 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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