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Preconditioned NS Computation with FV Method on Colocated Grid

Preconditioned NS Computation with FV Method on Colocated Grid. Daniel Lee 東海大學數學系 Dec. 21, 2002. Outline. Model Equation Test Cases The Discrete Geometry The Discrete Algebraic System Solution Procedure Numerical Results and Discussion. Model Equation.

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Preconditioned NS Computation with FV Method on Colocated Grid

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  1. Preconditioned NS Computation with FV Method on Colocated Grid Daniel Lee 東海大學數學系 Dec. 21, 2002

  2. Outline • Model Equation • Test Cases • The Discrete Geometry • The Discrete Algebraic System • Solution Procedure • Numerical Results and Discussion

  3. Model Equation • x-momentum equation • y-momentum equation • z-momentum equation • continuity equation • pressure-poisson equation ( PPE )

  4. Test Cases 2D • one-side-driven cavity flow • two-side-driven cavity flow • exact-solution cavity flow 3D • one-face-driven cavity flow • air ventilation

  5. Discretization of Geometry • boundary-fitted FV discretization • cell-centered FV scheme • ghost-cell boundary treatment • colocated variables approach

  6. Discretization of the PDE • central finite differencing for PPE • hybrid of UFD and CFD for momentum eqs • with appropriate B.C. treatment, respectively

  7. Preconditioned Linear System • left-preconditioning with • right-preconditioning with • Split-preconditioning assume consider ie

  8. 基本測試

  9. Possion 方程： ，運用CG 迭代方法

  10. Possion 方程：，運用CG 迭代方法

  11. Possion 方程：，運用BiCG 迭代方法

  12. Possion 方程：，運用BiCG 迭代方法

  13. Possion 方程：，運用CGS 迭代方法

  14. Possion 方程：，運用CGS 迭代方法

  15. Possion 方程：，運用BiCGs 迭代方法

  16. Possion 方程：，運用BiCGs 迭代方法

  17. Possion 方程： ，運用GMRES(80)迭代方法測試不同restart值的結果

  18. Possion 方程：，運用GMRES(80) 迭代方法

  19. Possion 方程：，運用GMRES(80) 迭代方法

  20. Possion 方程：，運用QMR 迭代方法

  21. Possion 方程：，運用QMR 迭代方法

  22. Possion 方程： ，運用BiCGs 迭代方法搭配預優化算子SOR 測試不同w 的結果

  23. Possion 方程： ，運用BiCGs迭代方法搭配預優化算子SSOR 測試不同w 的結果

  24. Possion 方程： ，運用GMRES(80) 迭代方法測試左預優化和右預優化

  25. Possion 方程： ，運用QMR(80) 迭代方法測試左預優化和右預優化

  26. 應用測試 2D

  27. 單邊驅動穴流：運用CG 迭代方法測試, nx=ny=80

  28. 單邊驅動穴流：運用BiCG 迭代方法測試,nx=ny=80

  29. 單邊驅動穴流：運用CGS 迭代方法測試, nx=ny=80

  30. 單邊驅動穴流：運用BiCGs 迭代方法測試, nx=ny=80

  31. 單邊驅動穴流：運用GMRES(80) 迭代方法測試,nx=ny=80

  32. 單邊驅動穴流：運用 QMR 迭代方法測試, nx=ny=80

  33. 單邊驅動穴流：運用 CG 迭代方法測試, nx=ny=160

  34. 單邊驅動穴流：運用BiCGs 迭代方法測試, nx=ny=160

  35. 單邊驅動穴流：運用QMR 迭代方法測試, nx=ny=160

  36. 應用測試 3D

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