On Crank-Nicolson Adams-Bashforth timestepping for approximate deconvolution models in two dimensions
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作者:
Kaya, Songul
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Middle E Tech Univ, Dept Math, TR-06800 Ankara, TurkeyMiddle E Tech Univ, Dept Math, TR-06800 Ankara, Turkey
Kaya, Songul
[1
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Manica, Carolina C.
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Univ Fed Rio Grande do Sul, Dept Matemat Pura & Aplicada, BR-91509900 Porto Alegre, RS, BrazilMiddle E Tech Univ, Dept Math, TR-06800 Ankara, Turkey
Manica, Carolina C.
[2
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Rebholz, Leo G.
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Clemson Univ, Dept Math Sci, Clemson, SC 29634 USAMiddle E Tech Univ, Dept Math, TR-06800 Ankara, Turkey
Rebholz, Leo G.
[3
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机构:
[1] Middle E Tech Univ, Dept Math, TR-06800 Ankara, Turkey
[2] Univ Fed Rio Grande do Sul, Dept Matemat Pura & Aplicada, BR-91509900 Porto Alegre, RS, Brazil
[3] Clemson Univ, Dept Math Sci, Clemson, SC 29634 USA
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. (C) 2014 Elsevier Inc. All rights reserved.
机构:
Xi An Jiao Tong Univ, Sch Elect & Informat Engn, Xian 710049, Peoples R China
NW Inst Nucl Technol, Xian 710024, Peoples R ChinaXi An Jiao Tong Univ, Sch Elect & Informat Engn, Xian 710049, Peoples R China
Chen, Juan
Wang, Jianguo
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Xi An Jiao Tong Univ, Sch Elect & Informat Engn, Xian 710049, Peoples R China
NW Inst Nucl Technol, Xian 710024, Peoples R ChinaXi An Jiao Tong Univ, Sch Elect & Informat Engn, Xian 710049, Peoples R China
机构:
Sun Yat Sen Univ, Sch Data & Comp Sci, Guangzhou 510006, Peoples R China
Sun Yat Sen Univ, Guangdong Prov Key Lab Computat Sci, Guangzhou 510006, Peoples R ChinaSun Yat Sen Univ, Sch Data & Comp Sci, Guangzhou 510006, Peoples R China
Tan, Zhijun
Li, Kang
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Sun Yat Sen Univ, Sch Data & Comp Sci, Guangzhou 510006, Peoples R ChinaSun Yat Sen Univ, Sch Data & Comp Sci, Guangzhou 510006, Peoples R China
Li, Kang
Chen, Yanping
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机构:
South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R ChinaSun Yat Sen Univ, Sch Data & Comp Sci, Guangzhou 510006, Peoples R China