On Crank-Nicolson Adams-Bashforth timestepping for approximate deconvolution models in two dimensions

Date

2014-11-01

Author

Kaya Merdan, Songül
Rebholz, Leo G.

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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

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Citation Formats

S. Kaya Merdan and L. G. Rebholz, “On Crank-Nicolson Adams-Bashforth timestepping for approximate deconvolution models in two dimensions,” APPLIED MATHEMATICS AND COMPUTATION, pp. 23–38, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/42664.