Numerical solution of the wave equation with variable wave speed on nonconforming domains by high-order difference potentials

S. Britt, S. Tsynkov, E. Turkel

Research output: Contribution to journalArticlepeer-review

Abstract

We solve the wave equation with variable wave speed on nonconforming domains with fourth order accuracy in both space and time. This is accomplished using an implicit finite difference (FD) scheme for the wave equation and solving an elliptic (modified Helmholtz) equation at each time step with fourth order spatial accuracy by the method of difference potentials (MDP). High-order MDP utilizes compact FD schemes on regular structured grids to efficiently solve problems on nonconforming domains while maintaining the design convergence rate of the underlying FD scheme. Asymptotically, the computational complexity of high-order MDP scales the same as that for FD.

Original languageEnglish
Pages (from-to)26-42
Number of pages17
JournalJournal of Computational Physics
Volume354
DOIs
StatePublished - 1 Feb 2018

Keywords

  • Compact finite difference scheme
  • High-order MDP
  • High-order accuracy
  • Implicit scheme
  • Method of difference potentials (MDP)
  • Nonconforming boundary
  • Regular structured grid

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