An Improved High Order Finite Difference Method for Non-conforming Grid Interfaces for the Wave Equation
Journal article, 2018

This paper presents an extension of a recently developed high order finite difference method for the wave equation on a grid with non-conforming interfaces. The stability proof of the existing methods relies on the interpolation operators being norm-contracting, which is satisfied by the second and fourth order operators, but not by the sixth order operator. We construct new penalty terms to impose interface conditions such that the stability proof does not require the norm-contracting condition. As a consequence, the sixth order accurate scheme is also provably stable. Numerical experiments demonstrate the improved stability and accuracy property.

SBP-SAT finite difference

Second order wave equation

Multi-block

Non-conforming

Author

Siyang Wang

Chalmers, Mathematical Sciences, Applied Mathematics and Statistics

Uppsala University

Journal of Scientific Computing

0885-7474 (ISSN) 1573-7691 (eISSN)

Vol. 77 2 775-792

Subject Categories

Computational Mathematics

Mathematical Analysis

Other Electrical Engineering, Electronic Engineering, Information Engineering

DOI

10.1007/s10915-018-0723-9

More information

Latest update

12/10/2018