The Application of the Multigrid Method in a
- Slides: 20
The Application of the Multigrid Method in a Nonhydrostatic Atmospheric Model Shu-hua Chen MMM/NCAR
Model Formulae
Model Numerical Methods (Semi-implicit scheme) ¨ Pressure gradient force and Divergence (Implicit Scheme) Advection (Explicit Scheme) Eddy diffusion (Explicit scheme)
Model Semi-Implicit Scheme : uncentered coefficient
Model Terrain-following Coordinate
Model Coordinate Transformation
Model Elliptic Partial differential Equation For a point
Model Coefficients
Model Problem x: 100 grid points (l=100) y: 100 grid points (m=100) z: 30 grid points (k=30) Total=l. m. k=300, 000 points ~ (300, 000 x 300, 000) Sparse Matrix
Model Hope Multigrid Method
Multigrid Method V(N 1, N 2) cycle step 1 step 5 step 4 step 2 step 3
Multigrid Method step 1 Step 1: Relax , N 1 sweeps (Pre-relaxation) (Residual equation)
Multigrid Method step 2 Step 2: Relax , N 1 sweeps (Pre-relaxation)
Multigrid Method Step 3: Solve (Coarse grid solution) step 3
Multigrid Method Step 4: , N 2 sweeps (Coarse grid correction) step 4 Solve (Post-relaxation)
Multigrid Method step 5 Step 5: , N 2 sweeps (Coarse grid correction) Solve (Post-relaxation)
Multigrid Method Multigrid Solver · John C. Adams (NCAR) http: //www. scd. ucar. edu/css/software/mudpack · Solve 3 -D linear nonseparable elliptic partial differential equation with cross-derivative terms · Second order accuracy · Finite difference operator · Gauss-Seidel relaxation · Gaussian Elimination (coarsest grid solution)
Multigrid Method Multigrid Solver · Full weighting restriction, multilinear interpolation · Point-by-point or line-by-line relaxation · 4 color ordering · V-, W-, or Full Multigrid cycling · Boundary conditions: Any combination of mixed, specified, or periodic
Multigrid Method Multigrid Solver · Flexible grid size · · Tolerance
Multigrid Method Conditions used in our model . . . . · V-cycle ·Point-by point or line-by-line relaxation ·Max outer iteration : 30 ·Boundary conditions x - specified y – specified or periodic upper - specified lower – mixed
- Multigrid method matlab code
- William l briggs
- Multigrid tutorial
- Multigrid v cycle
- Introduction of symposium
- Solid-stream nozzle in fire fighting
- Bisection method application in civil engineering
- Hình ảnh bộ gõ cơ thể búng tay
- Frameset trong html5
- Bổ thể
- Tỉ lệ cơ thể trẻ em
- Chó sói
- Chụp tư thế worms-breton
- Bài hát chúa yêu trần thế alleluia
- Môn thể thao bắt đầu bằng chữ đua
- Thế nào là hệ số cao nhất
- Các châu lục và đại dương trên thế giới
- Công của trọng lực
- Trời xanh đây là của chúng ta thể thơ
- Mật thư anh em như thể tay chân
- Phép trừ bù