A Multigrid Block LU-SGS Algorithm for Euler Equations on Unstructured Grids

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摘要 WeproposeanefficientandrobustalgorithmtosolvethesteadyEulerequa-tionsonunstructuredgrids.ThenewalgorithmisaNewton-iterationmethodinwhicheachiterationstepisalinearmultigridmethodusingblocklower-uppersymmetricGauss-Seidel(LU-SGS)iterationasitssmootherToregularizetheJacobianmatrixofNewton-iteration,weadoptedalocalresidualdependentregularizationasthereplace-mentofthestandardtime-steppingrelaxationtechniquebasedonthelocalCFLnumberTheproposedmethodcanbeextendedtohighorderapproximationsandthreespatialdimensionsinanatureway.Thesolverwastestedonasequenceofbenchmarkprob-lemsonbothquasi-uniformandlocaladaptivemeshes.Thenumericalresultsillustratedtheefficiencyandrobustnessofouralgorithm.
机构地区 不详
出版日期 2008年01月11日(中国期刊网平台首次上网日期,不代表论文的发表时间)