Defect-deferred correction method based on a subgrid artificial viscosity model for fluid-fluid interaction
作者： Mustafa Aggul , Songül Kaya , None
DOI: 10.1016/J.APNUM.2020.10.004
关键词:
摘要: Abstract A defect-deferred correction method, increasing both temporal and spatial accuracy, for fluid-fluid interaction problem with nonlinear interface condition is considered by geometric averaging of the previous two-time levels. In defect step, an artificial viscosity added only on fluctuations in velocity gradient removing this effect a coarse mesh. The dissipative influence further eliminated step while gaining additional accuracy at same time. stability analyses resulting algorithm are investigated analytically numerically.
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sci-hub.st 参考文章(35)
Florian Lemarié, Eric Blayo, Laurent Debreu, Analysis of ocean-atmosphere coupling algorithms : consistency and stability international conference on conceptual structures. ,vol. 51, pp. 2066- 2075 ,(2015) , 10.1016/J.PROCS.2015.05.473
P. W. Hemker, Mixed defect correction iteration for the accurate solution of the convection diffusion equation Lecture Notes in Mathematics. pp. 485- 501 ,(1982) , 10.1007/BFB0069940
K. Böhmer, P. W. Hemker, H. J. Stetter, The Defect Correction Approach Springer Vienna. pp. 1- 32 ,(1984) , 10.1007/978-3-7091-7023-6_1
Giovanni P. Galdi, An introduction to the mathematical theory of the Navier-Stokes equations ,(1994)
Abigail L. Bowers, Tae-Yeon Kim, Monika Neda, Leo G. Rebholz, Eliot Fried, The Leray-αβ-deconvolution model Applied Mathematical Modelling. ,vol. 37, pp. 1225- 1241 ,(2013) , 10.1016/J.APM.2012.03.040
Alok Dutt, Leslie Greengard, Vladimir Rokhlin, Spectral Deferred Correction Methods for Ordinary Differential Equations Bit Numerical Mathematics. ,vol. 40, pp. 241- 266 ,(1998) , 10.1023/A:1022338906936
V. Ervin, W. Layton, An analysis of a defect-correction method for a model convection-diffusion equation SIAM Journal on Numerical Analysis. ,vol. 26, pp. 169- 179 ,(1989) , 10.1137/0726010
John G. Heywood, Rolf Rannacher, Finite element approximation of the nonstationary Navier-Stokes problem, part II: Stability of solutions and error estimates uniform in time SIAM Journal on Numerical Analysis. ,vol. 23, pp. 750- 777 ,(1986) , 10.1137/0723049
Jean-Luc Guermond, Stabilization of Galerkin approximations of transport equations by subgrid modeling Mathematical Modelling and Numerical Analysis. ,vol. 33, pp. 1293- 1316 ,(1999) , 10.1051/M2AN:1999145
Jeffrey M. Connors, Jason S. Howell, William J. Layton, Decoupled Time Stepping Methods for Fluid-Fluid Interaction SIAM Journal on Numerical Analysis. ,vol. 50, pp. 1297- 1319 ,(2012) , 10.1137/090773362