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A Massively Parallel High-Order ADER-WENO Finite-Volume Scheme on Unstructured Meshes

Vaghani, D and Sunder, D and Shukla, RK (2021) A Massively Parallel High-Order ADER-WENO Finite-Volume Scheme on Unstructured Meshes. In: 46th National Conference on Fluid Mechanics and Fluid Power, FMFP 2019, 9-11 Dec 2019, Coimbatore, pp. 561-569.

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Official URL: https://doi.org/10.1007/978-981-16-0698-4_61

Abstract

We develop a fourth-order accurate massively parallel finite-volume adaptive derivative (ADER) weighted essentially non-oscillatory (WENO) scheme for numerical solution of hyperbolic conservation laws on unstructured quadrilateral meshes. The high-order non-oscillatory discretization methodology combines fourth- and third-order accurate reconstructions through linear weights that are positive and add up to unity. The compact stencil and the one-step ADER time update make the scheme highly parallelizable on modern high-performance systems. Results from a range of test cases are provided to assess the convergence attributes, scalability on thousands of processors and test the shock capturing capability of the proposed scheme. © 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

Item Type: Conference Paper
Publication: Lecture Notes in Mechanical Engineering
Publisher: Springer Science and Business Media Deutschland GmbH
Additional Information: The copyright for this article belongs to Springer Science and Business Media Deutschland GmbH
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 20 Nov 2021 12:41
Last Modified: 20 Nov 2021 12:41
URI: http://eprints.iisc.ac.in/id/eprint/69914

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