A Provable Stable and Accurate Davies-like Relaxation Procedure Using Multiple Penalty Terms for Lateral Boundaries in Weather Prediction
2014 (English)Report (Other academic)
A lateral boundary treatment using summation-by-parts operators and simultaneous approximation terms is introduced. The method, that we refer to as the multiple penalty technique, is similar to Davies relaxation and have similar areas of application. The method is proven, by energy methods, to be stable. We show how to apply this technique on the linearized Euler equations in two space dimensions, and that it reduces the errors in the computational domain.
Place, publisher, year, edition, pages
Linköping University Electronic Press, 2014. , 23 p.
LiTH-MAT-R, ISSN 0348-2960 ; 2014:19
Davies relaxation, lateral boundary conditions, summation-by-parts, weak boundary conditions, penalty terms
IdentifiersURN: urn:nbn:se:liu:diva-110919ISRN: LiTH-MAT-R--2014/19--SEOAI: oai:DiVA.org:liu-110919DiVA: diva2:750374