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Chebyshev pseudospectral method of viscous flows with corner singularities (1989)

Abstract

Chebyshev pseudospectral solutions of the biharmonic equation governing two-dimensional Stokes flow within a driven cavity converge poorly in the presence of corner singularities. Subtracting the strongest corner singularity greatly improves the rate of convergence. Compared to the usual stream function/ vorticity formulation, the single fourth-order equation for stream function used here has half the number of coefficients for equivalent spatial resolution and uses a simpler treatment of the boundary conditions. We extend these techniques to small and moderate Reynolds numbers.. Peer Reviewed. http://deepblue.lib.umich.edu/bitstream/2027.42/44983/1/10915_2005_Article_BF01061264.pdf

Publication details

Download	, http://hdl.handle.net/2027.42/44983
Publisher	Kluwer Academic Publishers-Plenum Publishers; Plenum Publishing Corporation ; Springer Science+Business Media
Contributors	Department of Atmospheric, Oceanic, and Space Science, and Laboratory for Scientific Computation, University of Michigan, 48109, Ann Arbor, Michigan, Department of Mechanical Engineering and Applied Mechanics, University of Michigan, 48109, Ann Arbor, Michigan, Department of Mechanical Engineering and Applied Mechanics, University of Michigan, 48109, Ann Arbor, Michigan; Korea Institute of Energy and Resources, Taejon, Korea, Ann Arbor
Repository	University of Michigan (United States)
Keywords	Mathematical and Computational Physics, Navier-Stokes equations, Computational Mathematics and Numerical Analysis, Mathematics, Algorithms, Appl.Mathematics/Computational Methods of Engineering, Corner singularities, pseudospectral methods, Science (General), Education, Science, Social Sciences
Language	English

Cited publications (1)

An analytical and numerical study of the two-dimensional Bratu equation (1986)

Boyd, John P.