Semi-implicit and explicit finite element schemes for coupled fluid/thermal problems
| Autor: | J. E. Akin, T. C. Jue, B. Ramaswamy |
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| Rok vydání: | 1992 |
| Předmět: |
Numerical Analysis
Applied Mathematics Mathematical analysis General Engineering Reynolds number Mixed finite element method Finite element method Physics::Fluid Dynamics symbols.namesake Hele-Shaw flow Flow (mathematics) Incompressible flow symbols Method of fundamental solutions Dykstra's projection algorithm Mathematics |
| Zdroj: | International Journal for Numerical Methods in Engineering. 34:675-696 |
| ISSN: | 1097-0207 0029-5981 |
| DOI: | 10.1002/nme.1620340218 |
| Popis: | A comparative investigation, based on a series of numerical tests, of two purely explicit and one semi-implicit finite element methods used for incompressible flow computation is presented. The ‘segregated’ approach is followed and the equations of motion are considered sequentially. The fundamental concepts and characteristics of the formulations and the solution methodology used are described in technical detail. Various modifications to Chorin's projection algorithm are investigated, particularly with respect to their effects on stability and accuracy. The stability of the semi-implicit method is shown to be less restrictive when compared to the explicit methods as the Reynolds number increases. At large time steps the artificial viscosity is also reduced and higher accuracy is obtained. The performance of the methods discussed in this paper is illustrated by the numerical solutions obtained for the cavity flow and flow past a rearward-facing step problems at high Reynolds numbers, and free convection flow problem at high Rayleigh numbers. It is shown that the semi-implicit method needs fewer iterations than the explicit methods, and the accuracy of the present methods is guaranteed by comparison with the existing methods. |
| Databáze: | OpenAIRE |
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