Flux difference splitting for the Euler equations in one spatial co‐ordinate with area variation
作者:
P. Glaister,
期刊:
International Journal for Numerical Methods in Fluids
(WILEY Available online 1988)
卷期:
Volume 8,
issue 1
页码: 97-119
ISSN:0271-2091
年代: 1988
DOI:10.1002/fld.1650080109
出版商: John Wiley&Sons, Ltd
关键词: Approximate Riemann solver;Euler equations;Duct flows
数据来源: WILEY
摘要:
AbstractAn approximate (linearized) Riemann solver is presented for the solution of the Euler equations of gas dynamics in one spatial co‐ordinate. This includes cylindrically and spherically symmetric geometries and also applies to narrow ducts with area variation. The method is Roe's flux difference splitting with a technique for dealing with source terms. The results of two problems, a spherically divergent infinite shock and a converging cylindrical shock, are presented. The numerical results compare favourably with those of Noh's recent survey and also with those of Ben‐Artzi and Falcovitz using a more complicated Riemann sol
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