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Residual distribution advection schemes in Telemac

Abstract : This report gives an overview of the different implementations of residual distribution schemes for the advection equation in Telemac (www.opentelemac.org). The formulations considered are obtained starting from the predictor-corrector method initially proposed in (Ricchiuto et Abgrall, JCP 2010). Several iteration techniques (NERD, LIPS and ERIA) are proposed and tested in terms of accuracy and efficiency. The basic idea of NERD is a transfer of fluxes done segment by segment, surprisingly this results in an unconditional stability. LIPS is based upon a local implicitation coefficient, ERIA inspires from NERD and treats the fluxes triangle by triangle. The main advances are the low numerical diffusion coupled with an unconditional stability that allows to deal with shallow or even dry zones in a computational domain.
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https://hal.inria.fr/hal-01571827
Contributor : Mario Ricchiuto <>
Submitted on : Saturday, August 5, 2017 - 3:13:36 PM
Last modification on : Tuesday, November 10, 2020 - 4:48:59 PM

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  • HAL Id : hal-01571827, version 2

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Jean-Michel Hervouet, Sara Pavan, Mario Ricchiuto. Residual distribution advection schemes in Telemac. [Research Report] RR-9087, Inria Bordeaux Sud-Ouest. 2017, pp.70. ⟨hal-01571827v2⟩

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