An Improved High Order Finite Difference Method for Non-conforming Grid Interfaces for the Wave Equation
Artikel i vetenskaplig tidskrift, 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.

Non-conforming

Second order wave equation

Multi-block

SBP-SAT finite difference

Författare

Siyang Wang

Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik

Uppsala universitet

Journal of Scientific Computing

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

Vol. 77 2 775-792

Ämneskategorier

Beräkningsmatematik

Matematisk analys

Annan elektroteknik och elektronik

DOI

10.1007/s10915-018-0723-9

Mer information

Senast uppdaterat

2018-10-18