An Approximate Roe-Type Riemann Solver for a Class of Realizable Second Order Closures
作者:
G. BRUN,
J.-M. HERARD,
D. JEANDEL,
M. UHLMANN,
期刊:
International Journal of Computational Fluid Dynamics
(Taylor Available online 2000)
卷期:
Volume 13,
issue 3
页码: 223-249
ISSN:1061-8562
年代: 2000
DOI:10.1080/10618560008940900
出版商: Taylor & Francis Group
关键词: Turbulent flow;compressible fluid;second-moment closure;readability;entropy condition;non-conservative hyperbolic system. Riemann problem;finite volume;shock tube
数据来源: Taylor
摘要:
A realizable, objective second-moment turbulence closure, allowing for an entropy characterisation, is analyzed with respect to its convective subset. The distinct characteristic wave system of these equations in non-conservation form is exposed. An approximate solution to Ihe associated one-dimensional Riemann problem is constructed making use of approximate jump conditions obtained by assuming a linear path across shock waves. A numerical integration method based on a new approximate Riemann solver (flux-difference-splitting) is proposed for use in conjunction with either unstructured or structured grids. Test calculations of quasi one-dimensional flow cases demonstrate the feasibility of the current technique even where Euler-based approaches fail.
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