WENO schemes on arbitrary mixed-element unstructured meshes in three space dimensions

P. Tsoutsanis; V.A. Titarev; D. Drikakis

doi:10.1016/j.jcp.2010.11.023

WENO schemes on arbitrary mixed-element unstructured meshes in three space dimensions

P. Tsoutsanis, V.A. Titarev, D. Drikakis

Faculty Of Engineering

Research output: Contribution to journal › Article › peer-review

145 Citations (Scopus)

Abstract

The paper extends weighted essentially non-oscillatory (WENO) methods to three dimensional mixed-element unstructured meshes, comprising tetrahedral, hexahedral, prismatic and pyramidal elements. Numerical results illustrate the convergence rates and non-oscillatory properties of the schemes for various smooth and discontinuous solutions test cases and the compressible Euler equations on various types of grids. Schemes of up to fifth order of spatial accuracy are considered.

Original language	English
Pages (from-to)	1585-1601
Number of pages	17
Journal	Journal of Computational Physics
Volume	230
Issue number	4
DOIs	https://doi.org/10.1016/j.jcp.2010.11.023
Publication status	Published - 20 Feb 2011

Keywords

WENO
unstructured
tetrahedral
hexahedral
prismatic
pyramidal
mixed-element
Euler equations
three space dimensions
unstructured meshes

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10.1016/j.jcp.2010.11.023

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AU - Tsoutsanis, P.

AU - Titarev, V.A.

AU - Drikakis, D.

PY - 2011/2/20

Y1 - 2011/2/20

N2 - The paper extends weighted essentially non-oscillatory (WENO) methods to three dimensional mixed-element unstructured meshes, comprising tetrahedral, hexahedral, prismatic and pyramidal elements. Numerical results illustrate the convergence rates and non-oscillatory properties of the schemes for various smooth and discontinuous solutions test cases and the compressible Euler equations on various types of grids. Schemes of up to fifth order of spatial accuracy are considered.

AB - The paper extends weighted essentially non-oscillatory (WENO) methods to three dimensional mixed-element unstructured meshes, comprising tetrahedral, hexahedral, prismatic and pyramidal elements. Numerical results illustrate the convergence rates and non-oscillatory properties of the schemes for various smooth and discontinuous solutions test cases and the compressible Euler equations on various types of grids. Schemes of up to fifth order of spatial accuracy are considered.

KW - WENO

KW - unstructured

KW - tetrahedral

KW - hexahedral

KW - prismatic

KW - pyramidal

KW - mixed-element

KW - Euler equations

KW - three space dimensions

KW - unstructured meshes

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DO - 10.1016/j.jcp.2010.11.023

M3 - Article

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VL - 230

SP - 1585

EP - 1601

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 4

ER -

WENO schemes on arbitrary mixed-element unstructured meshes in three space dimensions

Abstract

Keywords

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