POULLET, Pascal; RAMSAMY, Priscilla; RICCHIUTO, Mario

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POULLET, Pascal
Laboratoire de Mathématiques Informatique et Applications [UR1_1] [LAMIA]

RAMSAMY, Priscilla
Laboratoire de Mathématiques Informatique et Applications [UR1_1] [LAMIA]

RICCHIUTO, Mario
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]

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Chapitre d'ouvrage

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Recent Advances in Numerical methods for Hyperbolic PDE Systems. Selected talks of Numhyp 2019, Recent Advances in Numerical methods for Hyperbolic PDE Systems. Selected talks of Numhyp 2019. 2020

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2020

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This contribution deals with a high order Residual Distribution (RD) numerical scheme to simulate sediment transport. The morphodynamic model that has been used, couples shallow-water equations for the fluid flow and the Exner law for the sediment part. Thus, the choice of the approach by a non-conservative hyperbolic system has been made. Different schemes have already been applied to approximate the entropic solution for several test cases. The one proposed in this paper resorts to RD-method, TVD Runge Kutta and stabilisation upwind methods, with limiters. It can be viewed as an improvement of the generalized approximate Roe method with some other good properties (Path-conservative, well-balanced...). Numerical results show the ability of the model in 1D to compute accurate solutions and to reproduce some classical test problems. The best results that we obtained, use MinMod flux limiters.< Réduire

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Residual based method for sediment transport

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Résumé en anglais

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