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

S. Britt, S. Tsynkov, E. Turkel*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

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

Funding

FundersFunder number
US–Israel Educational Foundation
Army Research OfficeW911NF-16-1-0115
Army Research Office
United States-Israel Binational Science Foundation2014048
United States-Israel Binational Science Foundation
Tel Aviv University

    Keywords

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

    Fingerprint

    Dive into the research topics of 'Numerical solution of the wave equation with variable wave speed on nonconforming domains by high-order difference potentials'. Together they form a unique fingerprint.

    Cite this