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Wavelet Optimized Adaptive Mesh for MHD Flow Problems

Wavelet Optimized Adaptive Mesh for MHD Flow Problems
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摘要 There are many problems in science and engineering where the solution shows a boundary layer character. Near the boundary the gradient is large in contrast with the smooth behaviour in the central core. A uniform grid is, therefore, not suitable for a numerical solution. MHD flow problems belong to this category where a velocity and induced magnetic field profiles get flattened in a transverse flow. In the present paper an optimized grid has been generated using interpo-lating wavelets. The results are compared with those obtained using uniform grid, the finite element method and also from the analytical solution. There are many problems in science and engineering where the solution shows a boundary layer character. Near the boundary the gradient is large in contrast with the smooth behaviour in the central core. A uniform grid is, therefore, not suitable for a numerical solution. MHD flow problems belong to this category where a velocity and induced magnetic field profiles get flattened in a transverse flow. In the present paper an optimized grid has been generated using interpo-lating wavelets. The results are compared with those obtained using uniform grid, the finite element method and also from the analytical solution.
出处 《Applied Mathematics》 2012年第2期127-134,共8页 应用数学(英文)
关键词 MHD FLOW Interpolating WAVELET ADAPTIVE MESH MHD Flow Interpolating Wavelet Adaptive Mesh
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