Change search
ReferencesLink to record
Permanent link

Direct link
Non-reflecting Boundary Conditions for Wave Propagation Problems
KTH, Superseded Departments, Numerical Analysis and Computer Science, NADA.
2003 (English)Licentiate thesis, comprehensive summary (Other scientific)
Abstract [en]

We consider two aspects of non-reflecting boundaryconditions for wave propagation problems. First we evaluate aproposed Perfectly Matched Layer (PML) method for thesimulation of advective acoustics. It is shown that theproposed PML becomes unstable for a certain combination ofparameters. A stabilizing procedure is proposed andimplemented. By numerical experiments the performance of thePML for a problem with nonuniform flow is investigated. Furtherthe performance for different types of waves, vorticity andsound waves, are investigated.

The second aspect concerns spurious waves, which areintroduced by any discretization procedure. We constructdiscrete boundary conditions, that are nonreflecting for bothphysical and spurious waves, when combined with a fourth orderaccurate explicit discretization of one-way wave equations. Theboundary condition is shown to be GKS-stable. The boundaryconditions are extended to hyperbolic systems in two spacedimensions, by combining exact continuous non-reflectingboundary conditions and the one dimensional discretelynon-reflecting boundary condition. The resulting boundarycondition is localized by the standard Pad´eapproximation.

Numerical experiments reveal that the resulting methodsuffers from boundary instabilities. Analysis of a relatedcontinuous problem suggests that the discrete boundarycondition can be stabilized by adding tangential viscosity atthe boundary. For the lowest order Pad´e approximation weare able to stabilize the discrete boundary condition.

Place, publisher, year, edition, pages
Stockholm: Numerisk analys och datalogi , 2003. , iv, 44 p.
Trita-NA, ISSN 0348-2952 ; 0326
URN: urn:nbn:se:kth:diva-1664ISBN: 91-7283-628-8OAI: diva2:7602
NR 20140805Available from: 2004-01-09 Created: 2004-01-09Bibliographically approved

Open Access in DiVA

fulltext(427 kB)8153 downloads
File information
File name FULLTEXT01.pdfFile size 427 kBChecksum SHA-1
Type fulltextMimetype application/pdf

By organisation
Numerical Analysis and Computer Science, NADA

Search outside of DiVA

GoogleGoogle Scholar
Total: 8153 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 433 hits
ReferencesLink to record
Permanent link

Direct link