An Exponentially Fitted Finite Volume Method for the Numerical Solution of 2D Unsteady Incompressible Flow Problems
✍ Scribed by John J.H. Miller; Song Wang
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 374 KB
- Volume
- 115
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
In this paper we develop and test an exponentially fitted finite volume method for the numerical solution of the Navier-Stokes equations describing (2 D) incompressible flows. The method is based on an Imsttuctured Delatmay mesh and its dhal Dischlet tessollation, comlined with a locally constant approximation to the flux. This yiekds a piecewise exponential approximation to the exact solution. Numerical tests are presented for a linear advection-diffusion problem with boundary layers. The method is then applied to the driven cavity problem with Reynolds numbers up to (10^{4}). The numerical results indicate that the method is robust for a wide range of values of the Reynolds number. In the case (R e=10^{4}) unsteady solutions are captured if the mesh is sufficiently fine. 'C' 1994 Academic Press, Inc.