Numerical Solution of the Unsteady Incompressible Navier-Stokes Equations on the Curvilinear Half-Staggered Mesh
Year: 2000
Author: Lan-Chieh Huang
Journal of Computational Mathematics, Vol. 18 (2000), Iss. 5 : pp. 521–540
Abstract
In this paper, the Crank-Nicholson+component-consistent pressure correction method for the numerical solution of the unsteady incompressible Navier-Stokes equation of [1] on the rectangular half-staggered mesh has been extended to the curvilinear half-staggered mesh. The discrete projection, both for the projection step in the solution procedure and for the related differential-algebraic equations, has been carefully studied and verified. It is proved that the proposed method is also unconditionally (in $Δt$) nonlinearly stable on the curvilinear mesh, provided the mesh is not too skewed. It is seen that for problems with an out flow boundary, the half-staggered mesh is especially advantageous. Results of preliminary numerical experiments support these claims.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2000-JCM-9063
Journal of Computational Mathematics, Vol. 18 (2000), Iss. 5 : pp. 521–540
Published online: 2000-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Unsteady incompressible Navier-Stokes equations Curvilinear half- staggered mesh Discrete projection.