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On Crank-Nicolson Adams-Bashforth timestepping for approximate deconvolution models in two dimensions
Date
2014-11-01
Author
Kaya Merdan, Songül
Manica, Carolina C.
Rebholz, Leo G.
Metadata
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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We consider a Crank-Nicolson-Adams-Bashforth temporal discretization, together with a finite element spatial discretization, for efficiently computing solutions to approximate deconvolution models of incompressible flow in two dimensions. We prove a restriction on the timestep that will guarantee stability, and provide several numerical experiments that show the proposed method is very effective at finding accurate coarse mesh approximations for benchmark flow problems.
Subject Keywords
Crank-Nicolson Adams Bashforth
,
Stability Analysis
,
Finite Element Methods
,
Incompressible Flow
,
Approximate Deconvolution
URI
https://hdl.handle.net/11511/42664
Journal
APPLIED MATHEMATICS AND COMPUTATION
DOI
https://doi.org/10.1016/j.amc.2014.07.102
Collections
Department of Mathematics, Article