Uniformly high-order schemes on arbitrary unstructured meshes for advection-diffusion equations

V.A. Titarev; D. Drikakis

doi:10.1016/j.compfluid.2010.10.008

Uniformly high-order schemes on arbitrary unstructured meshes for advection-diffusion equations

V.A. Titarev, D. Drikakis

Faculty Of Engineering

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

12 Citations (Scopus)

Abstract

The paper presents a linear high-order method for advection–diffusion conservation laws on three-dimensional mixed-element unstructured meshes. The key ingredient of the method is a reconstruction procedure in local computational coordinates. Numerical results illustrate the convergence rates for the linear equation and a non-linear hyperbolic system with diffusion terms for various types of meshes.

Original language	English
Pages (from-to)	467-471
Number of pages	5
Journal	Computers and Fluids
Volume	46
Issue number	1
DOIs	https://doi.org/10.1016/j.compfluid.2010.10.008
Publication status	Published - 30 Jul 2011

Keywords

unstructured
tetrahedral
hexahedral
prismatic
pyramidal
mixed-element
very high-order
diffusive
Godunov-type methods

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10.1016/j.compfluid.2010.10.008

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abstract = "The paper presents a linear high-order method for advection–diffusion conservation laws on three-dimensional mixed-element unstructured meshes. The key ingredient of the method is a reconstruction procedure in local computational coordinates. Numerical results illustrate the convergence rates for the linear equation and a non-linear hyperbolic system with diffusion terms for various types of meshes.",

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AU - Drikakis, D.

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AB - The paper presents a linear high-order method for advection–diffusion conservation laws on three-dimensional mixed-element unstructured meshes. The key ingredient of the method is a reconstruction procedure in local computational coordinates. Numerical results illustrate the convergence rates for the linear equation and a non-linear hyperbolic system with diffusion terms for various types of meshes.

KW - unstructured

KW - tetrahedral

KW - hexahedral

KW - prismatic

KW - pyramidal

KW - mixed-element

KW - very high-order

KW - diffusive

KW - Godunov-type methods

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EP - 471

JO - Computers and Fluids

JF - Computers and Fluids

IS - 1

ER -

Uniformly high-order schemes on arbitrary unstructured meshes for advection-diffusion equations

Abstract

Keywords

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