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A HYBRID SPECTRAL/FINITE VOLUME METHOD FOR VISCOUS FLOWS
Authors:T MINYARD  Y KALLINDERIS
Institution:Department of Aerospace Engineering and Engineering Mechanics , University of Texas at Austin , Austin, TX, 78712, USA
Abstract:Abstract

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.
Keywords:Spectral method  Finite volume method  Navier-Stokes equations  Boundary layers  
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