کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
520540 | 867725 | 2008 | 16 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Preconditioning for dual-time-stepping simulations of the shallow water equations including Coriolis and bed friction effects Preconditioning for dual-time-stepping simulations of the shallow water equations including Coriolis and bed friction effects](/preview/png/520540.png)
Diagonal preconditioners for implicit-unsteady and steady discretizations of the shallow water equations at low- and high-Rossby and drag-number limits are analyzed. For each case, sub and supercritical flow conditions are also considered. Based on the analysis, a preconditioner is derived for use with a multigrid cycle that performs as well as possible under all conditions. In addition, a streamwise-upwind Petrov–Galerkin discretization of the system is presented that is derived from the preconditioned system. Using this discretization, it is demonstrated that for most conditions, the preconditioner gives rapid convergence that is independent of the grid resolution and the flow parameters. Practical tests including an equatorial Rossby soliton and tide propagation over variable bathymetry are simulated to demonstrate the performance of this approach.
Journal: Journal of Computational Physics - Volume 227, Issue 9, 20 April 2008, Pages 4425–4440