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A comparison of multilevel adaptive methods for hurricane track prediction. (English) Zbl 0897.76062
Summary: Adaptive multilevel methods are described and tested for the problem of predicting the path of a moving hurricane. The physical model consists of conservation of vorticity in a two-dimensional incompressible fluid; the discrete model uses conservative second-order finite differences. The methods described are the Berger-Oliger (BO) algorithm, with the Poisson problem for the streamfunction solved by standard multirid techniques, and a full approximation scheme multigrid (MG) algorithm which incorporates more complete interaction between the computational grids. Numerical results are presented demonstrating the conservation properties, convergence, accuracy, and efficiency of the methods. Adaptive mesh refinement produces speedup factors of 10-20 compared to using uniform resolution. Differences between the performance of the BO and MG methods are slight.
MSC:
76M20 Finite difference methods applied to problems in fluid mechanics
76B60 Atmospheric waves (MSC2010)
86A10 Meteorology and atmospheric physics
65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs
65M55 Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs
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