Mixed Spectral-Boundary Element Embedding Algorithms for the Navier–Stokes Equations in the Vorticity-Stream Function Formulation

Author： Elghaoui M.   Pasquetti R.  

Publisher： Academic Press

ISSN： 0021-9991

Source： Journal of Computational Physics, Vol.153, Iss.1, 1999-07, pp. : 82-100

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Abstract

An embedding approach, based on Fourier expansions and boundary integral equations, is applied to the vorticity-stream function formulation of the Navier–Stokes equations. The algorithm only requires efficient solvers of scalar elliptic equations and, in an asymptotic version, the boundary element method is only needed to solve the Laplace equation. The capabilities of this embedding method, in both its full and asymptotic versions, are pointed out by considering the classical problem of the flow between two eccentric cylinders.

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