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Quadrilateral Cell-Based Anisotropic Adaptive Solution for the Euler Equations

Published online by Cambridge University Press:  20 August 2015

H. W. Zheng ,
N. Qin ,
F. C. G. A. Nicolleau  and
C. Shu
H. W. Zheng*
Affiliation:
Department of Mechanical Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK
N. Qin*
Affiliation:
Department of Mechanical Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK
F. C. G. A. Nicolleau*
Affiliation:
Department of Mechanical Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK
C. Shu*
Affiliation:
Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260
*
Email:H.W.Zheng@sheffield.ac.uk
Corresponding author. Email:n.qin@sheffield.ac.uk
Email:F.Nicolleau@Sheffield.ac.uk
Email:mpeshuc@nus.edu.sg
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Abstract

An anisotropic solution adaptive method based on unstructured quadrilateral meshes for inviscid compressible flows is proposed. The data structure, the directional refinement and coarsening, including the method for initializing the refined new cells, for the anisotropic adaptive method are described. It provides efficient high resolution of flow features, which are aligned with the original quadrilateral mesh structures. Five different cases are provided to show that it could be used to resolve the anisotropic flow features and be applied to model the complex geometry as well as to keep a relative high order of accuracy on an efficient anisotropic mesh.

Keywords

51E1265M0868U0568U20Anisotropic adaptive mesh refinementquadrilateral meshfinite volumeface-based algorithmHLLCEuler equation
Type
Research Article
Information
Communications in Computational Physics , Volume 9 , Issue 1 , January 2011 , pp. 68 - 88
Copyright
Copyright © Global Science Press Limited 2011

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