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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

ABSTRACT

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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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