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Multiresolution-Based Adaptive Simulation of Wave Equation |
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PP: 47S-58S |
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Author(s) |
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Hassan Yousefi,
Asadollah Noorzad,
Asadollah Noorzad,
Jamshid Farjoodi,
Mehdi Vahidi,
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Abstract |
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| A modified wavelet-based adaptive-grid scheme is proposed for simulating elastic wave
propagation in media with sharp transition of physical properties. The solution grid is adapted by
interpolation wavelet; the wavelet transform is used as a tool to detect high-gradient zones. The cubic
smoothing spline is employed as a postprocessor to remove spurious oscillations developed in the
numerical solution of second order hyperbolic systems. The filtering procedure is directly done in the
non-uniform grid, an ill-posed problem. Smoothing splines are indeed a kind of Tikhonov
regulization method; hence the smoothing results are stable and reliable. This smoothing method
works satisfactory in irregular grid points. Finally some 2D wave propagation problems are simulated
to demonstrate the efficiency of the proposed method. |
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