The convergence of the AGE method for the idealised planetary boundary layer model. (English) Zbl 0847.65015
The solution of the Navier-Stokes equations in the layer of atmosphere close to the earth’s surface is obtained for the steady state by the alternating group explicit (AGE) method. This envolves a solution of a block symmetric linear system. Then a convergence analysis of the AGE-1D method applied to such systems is presented.
Reviewer: P.Y.Yalamov (Russe)
MSC:
| 65F10 | Iterative numerical methods for linear systems |
| 65N06 | Finite difference methods for boundary value problems involving PDEs |
| 86A10 | Meteorology and atmospheric physics |
| 35Q30 | Navier-Stokes equations |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
Keywords:
linear block space symmetric systems; parallel tridiagonal system solver; iterative methods; Ekman planetary boundary layer model; alternating group explicit method; Navier-Stokes equations; atmosphere; earth’s surface; convergenceReferences:
| [1] | Al-Wali A. A. Explicit Alternating Direction methods for Problems in Fluid Dynamics PhD thesis Loughborough University of Technology Loughborough, U.K. 1994 |
| [2] | DOI: 10.1080/00207168508803452 · Zbl 0568.65050 · doi:10.1080/00207168508803452 |
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