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Efficient Fully Dis...
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Lundquist, TomasLinköpings universitet,Beräkningsmatematik,Tekniska fakulteten
(författare)
Efficient Fully Discrete Summation-by-Parts Schemes for Unsteady Flow Problems: An Initial Investigation
- Artikel/kapitelEngelska2015
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Cham :Springer,2015
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LIBRIS-ID:oai:DiVA.org:liu-123121
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https://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-123121URI
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https://doi.org/10.1007/978-3-319-19800-2_31DOI
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Språk:engelska
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Sammanfattning på:engelska
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We make an initial investigation into the temporal efficiency of a fully discrete summation-by-parts approach for stiff unsteady flows with boundary layers. As a model problem for the Navier–Stokes equations we consider a two-dimensional advection-diffusion problem with a boundary layer. The problem is discretized in space using finite difference approximations on summation-by-parts form together with weak boundary conditions, leading to optimal stability estimates. For the time integration part we consider various forms of high order summation-by-parts operators, and compare the results to an existing popular fourth order diagonally implicit Runge-Kutta method. To solve the resulting fully discrete equation system, we employ a multi-grid scheme with dual time stepping.
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Nordström, JanLinköpings universitet,Beräkningsmatematik,Tekniska fakulteten(Swepub:liu)janno11
(författare)
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Linköpings universitetBeräkningsmatematik
(creator_code:org_t)
Sammanhörande titlar
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Ingår i:Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014Cham : Springer, s. 345-35397833191979999783319198002
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