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Summation-by-parts ...
Summation-by-parts operators for non-simply connected domains
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- Nikkar, Samira (författare)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten
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- Nordström, Jan (författare)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten
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(creator_code:org_t)
- Linköping : Linköping University Electronic Press, 2016
- Engelska 32 s.
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Serie: LiTH-MAT-R, 0348-2960 ; 2016:11
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Abstract
Ämnesord
Stäng
- We construct fully discrete stable and accurate numerical schemes for solving partial differential equations posed on non-simply connected spatial domains. The schemes are constructed using summation-by-parts operators in combination with a weak imposition of initial and boundary conditions using the simultaneous approximation term technique.In the theoretical part, we consider the two dimensional constant coefficient advection equation posed on a rectangular spatial domain with a hole. We construct the new scheme and study well-posedness and stability. Once the theoretical development is done, the technique is extended to more complex non-simply connected geometries.Numerical experiments corroborate the theoretical results and show the applicability of the new approach and its advantages over the standard multi-block technique. Finally, an application using the linearized Euler equations for sound propagation is presented.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Initial boundary value problems
- Stability
- Well-posedness
- Boundary conditions
- Non-simply connected domains
- Complex geometries
Publikations- och innehållstyp
- vet (ämneskategori)
- rap (ämneskategori)