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Stable Dynamical Ad...
Stable Dynamical Adaptive Mesh Refinement
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- Lundquist, Tomas (författare)
- Industrial CFD Research Group, Department of Mechanical Engineering, University of Cape Town, Cape Town, South Africa
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- Nordström, Jan, 1953- (författare)
- Linköpings universitet,Tekniska fakulteten,Tillämpad matematik,Department of Mathematics and Applied Mathematics, University of Johannesburg, , South Africa
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- Malan, Arnaud (författare)
- Industrial CFD Research Group, Department of Mechanical Engineering, University of Cape Town, Cape Town, South Africa
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(creator_code:org_t)
- 2021-02-13
- 2021
- Engelska.
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Ingår i: Journal of Scientific Computing. - : Springer. - 0885-7474 .- 1573-7691. ; 86:3
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Abstract
Ämnesord
Stäng
- We consider accurate and stable interpolation procedures for numerical simulations utilizingtime dependent adaptive meshes. The interpolation of numerical solution valuesbetween meshes is considered as a transmission problem with respect to the underlying semidiscretizedequations, and a theoretical framework using inner product preserving operatorsis developed, which allows for both explicit and implicit implementations. The theory issupplemented with numerical experiments demonstrating practical benefits of the new stableframework. For this purpose, new interpolation operators have been designed to be used withmulti-block finite difference schemes involving non-collocated, moving interfaces.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Interpolation
- Stability
- Accuracy
- Semi-boundedness
- Transmission problem
- Inner product preserving
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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