An efficient and robust algorithm for 2D stratified fluid flow calculations. (English) Zbl 1137.76437
Summary: An efficient and robust algorithm for numerical simulation of 2D stratified flow past an object is presented. The algorithm uses an accurate and efficient GMRES to solve the pressure. The algorithm is tested by simulating the flow past an infinite flat plate in uniform flow for various flow conditions. Results are presented for the density and velocity along with comparisons to the exact solution for this problem.
MSC:
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
Keywords:
Stratified fluidSoftware:
ILUTReferences:
| [1] | Harlow, F. H.; Welch, J. E., Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface, Phys. Fluids, 8, 2182-2189 (1965) · Zbl 1180.76043 |
| [2] | Kawamura, T.; Kuwahara, K., Computation of high Reynolds number flow around a circular cylinder with surface roughness, AIAA paper 84-0340 (1984) |
| [3] | Phillips, O. M., On flows induced by diffusion in a stably stratified fluid, Deep-Sea Res., 17, 435-443 (1970) |
| [4] | Saad, Y., ILUT: A dual threshold incomplete LU factorization, Numer. Linear Algebra Appl., 1, 4 (1994) · Zbl 0838.65026 |
| [5] | Saad, Y.; Shultz, M. H., GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. Sci. Stat. Comput., 7, 3 (1996) |
| [6] | Torres, C. R., On the Behaviour of Spheres in Stratified Fluids, Ph.D. Dissertation, Centro de Investigación Cientı́fica y de Educación Superior de Ensenada, Ensenada, B.C., México (1977), p. 103 (in Spanish) |
| [7] | Torres, C. R.; Hanazaki, H.; Ochoa, J.; Castillo, J.; Van Woert, M. L., Flow past a sphere moving vertically in a stratified diffusive fluid, J. Fluid, 417, 211-236 (2000) · Zbl 0971.76023 |
| [8] | Torres, C. R.; Ochoa, J.; Castillo, J.; Van Woert, M. L., Initial flow field of stratified flow past an impulsively started sphere, Appl. Numer. Math., 40, 1-2, 235-244 (2002) · Zbl 0999.76098 |
| [9] | van der Vorst, H. A., BiCGSTAB: A fast and smoothly converging variant of the BiCG for the solution of nonsymmetric linear systems, SIAM J. Sci. Statist. Comput., 13, 2 (1992) · Zbl 0761.65023 |
| [10] | Wunsch, C., On oceanic boundary mixing, Deep-Sea Res., 17, 293-301 (1970) |
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