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A High-Order Unifying Discontinuous Formulation for theNavier-Stokes Equations on 3D Mixed Grids

Published online by Cambridge University Press:  16 May 2011

T. Haga ,
H. Gao  and
Z. J. Wang
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Abstract

The newly developed unifying discontinuous formulation named the correction procedure viareconstruction (CPR) for conservation laws is extended to solve the Navier-Stokesequations for 3D mixed grids. In the current development, tetrahedrons and triangularprisms are considered. The CPR method can unify several popular high order methodsincluding the discontinuous Galerkin and the spectral volume methods into a more efficientdifferential form. By selecting the solution points to coincide with the flux points,solution reconstruction can be completely avoided. Accuracy studies confirmed that theoptimal order of accuracy can be achieved with the method. Several benchmark test casesare computed by solving the Euler and compressible Navier-Stokes equations to demonstrateits performance.

Keywords

high-ordermixed unstructured gridsNavier-Stokes equationsdiscontinuous Galerkinspectral collocationfinite difference

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Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 6 , Issue 3: Computational aerodynamics , 2011 , pp. 28 - 56
Copyright
© EDP Sciences, 2011

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