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High-Order Time Discretization Of The Wave Equation By Nabla-P Scheme

Abstract : High-order Discontinuous Galerkin Methods (DGM) are now routinely used for simulation of wave propagation, especially for geophysic applications. However, to fully take advantage of the high-order space discretization, it is relevant to use a high-order time discretization. Hence, DGM are classicaly coupled with ADER schemes, which leads to high-order explicit time schemes, but requires the introduction of auxiliary unknowns. The memory can thus be considerably cluttered up. In this work, we propose a new high order time scheme, the so-called Nabla-p scheme. This scheme does not increase the storage costs since it is a single step method which does not require the storage of auxiliary unknowns. Numerical results show that it requires less storage and less computational costs than the DG-ADER scheme for a given accuracy.
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https://hal.archives-ouvertes.fr/hal-00924030
Contributor : Florent Ventimiglia <>
Submitted on : Monday, January 6, 2014 - 11:09:06 AM
Last modification on : Thursday, March 5, 2020 - 7:23:35 PM

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  • HAL Id : hal-00924030, version 1

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Hélène Barucq, Julien Diaz, Florent Ventimiglia, Henri Calandra. High-Order Time Discretization Of The Wave Equation By Nabla-P Scheme. SMAI 2013, May 2013, Seignosse, France. pp.ESAIM: PROCEEDINGS. ⟨hal-00924030⟩

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