New approach in boundary conditions for incompressible flows using characteristic relations

作者: Kamiar Zamzamian

DOI: 10.1504/PCFD.2014.060140

关键词: Boundary value problemReynolds numberCompressibilityRate of convergenceBoundary layer thicknessExtrapolationRobin boundary conditionMathematicsMathematical analysisMixed boundary condition

摘要: The present study proposes a new characteristic-based wall boundary condition for incompressible Navier-Stokes equations using artificial compressibility correction. Traditionally, ordinary extrapolation from inner cells of domain is used estimating the pressure on solid walls. It has been shown in this that by characteristic walls, convergence rate improved comparison with old extrapolating method estimation especially at high Reynolds numbers. For purpose, computer code (CB) scheme developed numerical tests which were applied wide range numbers and grid combinations. While, CB exhibits substantial delay as reported literature, can improve its speed. Also, presented idea was calculation outer conditions again showed improvements

参考文章(27)
Panagiotis Neofytou, Short note: Revision of the characteristics-based scheme for incompressible flows Journal of Computational Physics. ,vol. 222, pp. 475- 484 ,(2007) , 10.1016/J.JCP.2006.10.009
E. Erturk, C. Gökçöl, Fourth-order compact formulation of Navier-Stokes equations and driven cavity flow at high Reynolds numbers International Journal for Numerical Methods in Fluids. ,vol. 50, pp. 421- 436 ,(2006) , 10.1002/FLD.1061
Kamiar Zamzamian, Seyed Esmail Razavi, Multidimensional upwinding for incompressible flows based on characteristics Journal of Computational Physics. ,vol. 227, pp. 8699- 8713 ,(2008) , 10.1016/J.JCP.2008.06.018
S. E. Razavi, K. Zamzamian, A. Farzadi, Genuinely multidimensional characteristic‐based scheme for incompressible flows International Journal for Numerical Methods in Fluids. ,vol. 57, pp. 929- 949 ,(2008) , 10.1002/FLD.1662
D. DRIKAKIS, U. GOLDBERG, Wall-Distance-Free Turbulence Models Applied to Incompressible Flows International Journal of Computational Fluid Dynamics. ,vol. 10, pp. 241- 253 ,(1998) , 10.1080/10618569808961688
D. Drikakis, O.P. Iliev, D.P. Vassileva, A Nonlinear Multigrid Method for the Three-Dimensional Incompressible Navier-Stokes Equations Journal of Computational Physics. ,vol. 146, pp. 301- 321 ,(1998) , 10.1006/JCPH.1998.6067
Murli M Gupta, High accuracy solutions of incompressible Navier-Stokes equations Journal of Computational Physics. ,vol. 93, pp. 343- 359 ,(1991) , 10.1016/0021-9991(91)90188-Q
Y. Kallinderis, H.T. Ahn, Incompressible Navier-Stokes method with general hybrid meshes Journal of Computational Physics. ,vol. 210, pp. 75- 108 ,(2005) , 10.1016/J.JCP.2005.04.002