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A multi-domain summ...
A multi-domain summation-by-parts formulation for complex geometries
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- Lundquist, Tomas, 1986- (author)
- Linköpings universitet,Tillämpad matematik,Tekniska fakulteten
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- Laurén, Fredrik, 1990- (author)
- Linköpings universitet,Tillämpad matematik,Tekniska fakulteten
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- Nordström, Jan, 1953- (author)
- Linköpings universitet,Tekniska fakulteten,Tillämpad matematik,University of Johannesburg, South Africa
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(creator_code:org_t)
- ACADEMIC PRESS INC ELSEVIER SCIENCE, 2022
- 2022
- English.
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In: Journal of Computational Physics. - : ACADEMIC PRESS INC ELSEVIER SCIENCE. - 0021-9991 .- 1090-2716. ; 463
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Abstract
Subject headings
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- We combine existing summation-by-parts discretization methods to obtain a simplified numerical framework for partial differential equations posed on complex multi-block/element domains. The interfaces (conforming or non-conforming) between blocks are treated with inner-product-preserving interpolation operators, and the result is a high-order multi-block operator on summation-by-parts form that encapsulates both the metric terms as well as the interface treatments. This enables for a compact description of the numerical scheme that mimics the essential features of its continuous counterpart. Furthermore, the stability analysis on a multi-block domain is simplified for both for linear and nonlinear equations, since no problem-specific interface conditions need to be derived and implemented. We exemplify the combined operator technique by considering a nonlinearly stable discrete formulation of the incompressible Navier-Stokes equations and perform calculations on an underlying multi-block domain.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Summation-by-parts; Multi-block operators; Partial derivative approximations; Nonlinear stability
Publication and Content Type
- ref (subject category)
- art (subject category)
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