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Wavelet Optimized Adaptive Mesh for MHD Flow Problems

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DOI: 10.4236/am.2012.32020    3,712 Downloads   6,544 Views   Citations


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.

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The authors declare no conflicts of interest.

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B. Singh, A. Bhardwaj and R. Ali, "Wavelet Optimized Adaptive Mesh for MHD Flow Problems," Applied Mathematics, Vol. 3 No. 2, 2012, pp. 127-134. doi: 10.4236/am.2012.32020.


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