A Compact Higher Order Finite Difference Method for the Incompressible Navier–Stokes Equations |
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| Authors: | Arnim Brüger Jonas Nilsson Wendy Kress |
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| Affiliation: | (1) Department of Mechanics, KTH, Stockholm, Sweden;(2) Department of Scientific Computing, Uppsala University, Sweden |
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| Abstract: | A numerical method based on compact fourth order finite difference approximations is used for the solution of the incompressible Navier–Stokes equations. Our method is implemented for two dimensional, curvilinear coordinates on orthogonal, staggered grids. Two numerical experiments confirm the theoretically expected order of accuracy. |
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| Keywords: | Navier– Stokes equations compact fourth order methods curvilinear grids |
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