A High Order Approximation of the Two Dimensional Acoustic Wave Equation with Discontinuous Coefficients

Document Type : Research Paper

Author

Sahand University Of Technology

Abstract

This paper concerns with the modeling and construction of a fifth order method for two dimensional acoustic wave equation in heterogenous media. The method is based on a standard discretization of the problem on smooth regions and a nonstandard method for nonsmooth regions. The construction of the nonstandard method is based on the special treatment of the interface using suitable jump conditions. We derive the required linear systems for evaluation of the coefficients of such a nonstandard method. The given novel modeling provides an overall fifth order numerical model for two dimensional acoustic wave equation with discontinuous coefficients.

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References

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History

  • Receive Date: 12 December 2013
  • Accept Date: 12 December 2013

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