In this study, an existing compressible Navier-Stokes scheme is adapted for the simulation of incompressible flow by using artificial compressibility proposed by Chorin (1967). A cell vertex finite volume algorithm is presented for the simulation of 3D steady and unsteady incompressible fluid flow on unsaturated meshes. The algorithm uses an efficient edge-based data structure. For viscous flow, the application of unsaturated hybrid meshes is introduced. The time-marching algorithms are presented which applied into the scheme for steady solution by using an explicit multi-stage Runge-Kutta time stepping. To accelerate convergence, a multigrid scheme with the automatic creation of coarse mesh is used. In order to improve the convergence, the Turkel’s preconditioning is employed. Dual time approach is used in order to obtain unsteady solution. Here, the explicit multi-stage Runge Kutta pseudo time is employed to find the solution every physical time step. The implicit backward time step is used for physical time step. Several cases with various geometric complexity are presented to evaluate the accuracy of the proposed scheme and to use it as prediction tools for practical problem. From those cases, it can be concluded that the scheme with multigrid acceleration technique can be used for the simulation of incompressible flow from simple geometry until complex geometry by using unstructured meshes accurately and efficiently.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:637223 |
| Date | January 2004 |
| Creators | Harlan, D. |
| Publisher | Swansea University |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
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