A Hybrid Numerical Scheme Based on ONAD Method and Weighted Runge-Kutta Discontinuous Galerkin Metho

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户:gmtt123
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  We develop an effective numerical hybrid scheme based on finite difference method(FDM)and discontinuous Galerkin method(DGM)for seismic wavefield modeling.The FDM we used is a newly-developed and efficient numerical method-the optimal nearly-analytic method,which can effectively suppress the numerical dispersion.The DGM we used is a weighted Runge-Kutta DGM.The scheme combines the advantages of the FDM and DGM.It splits the computational domain into several parts,where the DGM is used to model the complex structures,whereas the FDM is used for regular parts.A transition zone is needed to combine them together.The variables near the transition zone should be carefully treated to keep the accuracy and stability of the hybrid scheme.Numerical tests show that the hybrid scheme is effective,and can save CPU time and storage space.
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