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Residual based method for sediment transport

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-03089375
Contributor : Pascal Poullet Connect in order to contact the contributor
Submitted on : Monday, December 28, 2020 - 12:56:38 PM
Last modification on : Wednesday, November 3, 2021 - 6:35:48 AM
Long-term archiving on: : Monday, March 29, 2021 - 6:42:23 PM

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Pascal Poullet, Priscilla Ramsamy, Mario Ricchiuto. Residual based method for sediment transport. Recent Advances in Numerical methods for Hyperbolic PDE Systems. Selected talks of Numhyp 2019, In press. ⟨hal-03089375⟩

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