A HYBRID SPECTRAL/FINITE VOLUME METHOD FOR VISCOUS FLOWS
作者:
T. MINYARD,
Y. KALLINDERIS,
期刊:
International Journal of Computational Fluid Dynamics
(Taylor Available online 1995)
卷期:
Volume 5,
issue 1-2
页码: 119-136
ISSN:1061-8562
年代: 1995
DOI:10.1080/10618569508940739
出版商: Taylor & Francis Group
关键词: Spectral method;Finite volume method;Navier-Stokes equations. Boundary layers.
数据来源: Taylor
摘要:
This paper presents a hybrid spectral/finite volume method for steady-state compressible viscous flows. The method is evaluated for accuracy via test cases for various Mach numbers. The domain is divided into a viscous region and an inviscid region. The viscous region uses the full Navier-Stokes equations, while the inviscid region employs the Euler equations. A high order Chebyshev collocation spectral method is developed for the viscous region to resolve boundary layers. This method avoids the dense grids needed by finite-volume methods to resolve the viscous areas. A low order finite-volume method based on a Lax-Wendroff type scheme is employed for the inviscid region. A special interface formulation is developed for coupling the spectral with the finite-volume method. Comparisons with analytic results as well as convergence histories are presented.
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