An Adaptive Time Filter Based Finite Element Method for the Velocity-Vorticity-Temperature Model of the Incompressible Non-Isothermal Fluid Flows
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Tarih
2020
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info:eu-repo/semantics/openAccess
Özet
This paper studies a velocity-vorticity-temperature (VVT) model of the Boussinesqequations and introduces a numerical method for solving that. The proposed numericalmethod adds separate three minimally intrusive steps, one for each fluid variable, exceptpressure, to the standard semi-implicit backward-Euler (BE) approximation of VVTmodel.The key idea in these intrusive steps is to post-process the BE approximatesolutions with 2-step, second order, linear time filters. The paper provides fullmathematical analysis of the proposed numerical method, and two numericalexperiments for that. The first numerical experiment verifies the predicted convergencerates while the second one shows the effectiveness of the method on a benchmarkproblem.
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Gazi University Journal of Science
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N/A
Scopus Q Değeri
Q3
Cilt
33
Sayı
3
