A pointwise relaxation computation of viscous compressible flowfield using discontinuous Galerkin method

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

An implicit Discontinuous Galerkin scheme for conservation laws on unstructured mesh system is developed utilizing a pointwise relaxation algorithm. First, we solve the linear hyperbolic equation to examine the order of spatial accuracy and also the convergence property of the scheme. The Euler equations in two-dimensional space are then solved by the present pointwise relaxation scheme assuming a second order of spatial accuracy. We also focus on to examine the case of using a hybrid mesh system. Then we extend the present method to solve the Navier-Stokes equations. It is shown that the present pointwise relaxation method can maintain numerical stability even with very large CFL numbers, and can converge to machine zero.

Original languageEnglish
Title of host publicationCollection of Technical Papers - 36th AIAA Fluid Dynamics Conference
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
Pages2524-2537
Number of pages14
ISBN (Print)1563478102, 9781563478109
DOIs
Publication statusPublished - 2006 Jan 1
Event36th AIAA Fluid Dynamics Confernce - San Francisco, CA, United States
Duration: 2006 Jun 52006 Jun 8

Publication series

NameCollection of Technical Papers - 36th AIAA Fluid Dynamics Conference
Volume4

Other

Other36th AIAA Fluid Dynamics Confernce
CountryUnited States
CitySan Francisco, CA
Period06/6/506/6/8

ASJC Scopus subject areas

  • Engineering(all)

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