Implicit Weighted ENO Schemes for the Three-Dimensional Incompressible Navier–Stokes Equations
| Autor: | Shih-Chang Yang, Jaw-Yen Yang, Yih-Nan Chen, Chiang-An Hsu |
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| Rok vydání: | 1998 |
| Předmět: |
Numerical Analysis
Physics and Astronomy (miscellaneous) Applied Mathematics Mathematical analysis Coordinate system Relaxation (iterative method) Laminar flow Computer Science Applications Physics::Fluid Dynamics Computational Mathematics Rate of convergence Flow (mathematics) Inviscid flow Modeling and Simulation Compressibility Navier–Stokes equations Mathematics |
| Zdroj: | Journal of Computational Physics. 146:464-487 |
| ISSN: | 0021-9991 |
| DOI: | 10.1006/jcph.1998.6062 |
| Popis: | A class of lower?upper approximate-factorization implicit weighted essentially nonoscillatory (ENO) schemes for solving the three-dimensional incompressible Navier?Stokes equations in a generalized coordinate system is presented. The algorithm is based on the artificial compressibility formulation, and symmetric Gauss?Seidel relaxation is used for computing steady-state solutions. Weighted essentially nonoscillatory spatial operators are employed for inviscid fluxes and fourth-order central differencing for viscous fluxes. Two viscous flow test problems, laminar entry flow through a 90° bent square duct and three-dimensional driven square cavity flow, are presented to verify the numerical schemes. The use of the weighted ENO spatial operator not only enhances the accuracy of solutions but also improves the convergence rate for steady-state computation as compared with that using the ENO counterpart. It is found that the present solutions compare well with experimental data and other numerical results. |
| Databáze: | OpenAIRE |
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