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A provably stable d...
A provably stable discontinuous Galerkin spectral element approximation for moving hexahedral meshes
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- Kopriva, David A (författare)
- Department of Mathematics, The Florida State University, Tallahassee, USA
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- Winters, Andrew Ross (författare)
- Mathematisches Institut, Universität zu Köln, Köln, Germany
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- Bohm, Marvin (författare)
- Mathematisches Institut, Universität zu Köln, Köln, Germany
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- Gassner, Gregor J (författare)
- Mathematisches Institut, Universität zu Köln, Köln, Germany
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(creator_code:org_t)
- Elsevier, 2016
- 2016
- Engelska.
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Ingår i: Computers & Fluids. - : Elsevier. - 0045-7930 .- 1879-0747. ; 139, s. 148-160
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Abstract
Ämnesord
Stäng
- We design a novel provably stable discontinuous Galerkin spectral element (DGSEM) approximation to solve systems of conservation laws on moving domains. To incorporate the motion of the domain, we use an arbitrary Lagrangian-Eulerian formulation to map the governing equations to a fixed reference domain. The approximation is made stable by a discretization of a skew-symmetric formulation of the problem. We prove that the discrete approximation is stable, conservative and, for constant coefficient problems, maintains the free- stream preservation property. We also provide details on how to add the new skew-symmetric ALE approximation to an existing discontinuous Galerkin spectral element code. Lastly, we provide numerical support of the theoretical results.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- discontinuous Galerkin spectral element method
- summation-by-parts
- moving mesh
- arbitrary Lagrangian-Eulerian
- energy stable
- free-stream preservation
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- art (ämneskategori)
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