An Algorithm for the Numerical Solution of the Pseudo Compressible Navier-stokes Equations Based on the Experimenting Fields Approach

作者: Amgad Salama , Shuyu Sun , Mohamed F. El Amin

DOI: 10.1016/J.PROCS.2015.05.303

关键词:

摘要: Abstract In this work, the experimenting fields approach is applied to numerical solution of Navier-Stokes equation for incompressible viscous flow. sought both pressure and velocity in same time. Apparently, correct satisfy governing equations boundary conditions. technique a set predefined are introduced residues calculated. The flow according these will not However, used construct matrix coefficients. Although, setup it seems trivial constructing global coefficients, other setups can be quite involved. This separates solver routine from physics routines therefore makes easy coding debugging procedures. We compare with few examples that demonstrate capability technique.

参考文章(14)
Guan Heng Yeoh, Jiyuan Tu, Chaoqun Liu, Computational Fluid Dynamics: A Practical Approach ,(2007)
John David Anderson, Computational fluid dynamics : the basics with applications McGraw-Hill. ,(1995)
Amgad Salama, Shuyu Sun, Mary F. Wheeler, Solving global problem by considering multitude of local problems: Application to fluid flow in anisotropic porous media using the multipoint flux approximation Journal of Computational and Applied Mathematics. ,vol. 267, pp. 117- 130 ,(2014) , 10.1016/J.CAM.2014.01.016
U Ghia, K.N Ghia, C.T Shin, High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method Journal of Computational Physics. ,vol. 48, pp. 387- 411 ,(1982) , 10.1016/0021-9991(82)90058-4
Ardiansyah Negara, Amgad Salama, Shuyu Sun, Multiphase flow simulation with gravity effect in anisotropic porous media using multipoint flux approximation Computers & Fluids. ,vol. 114, pp. 66- 74 ,(2015) , 10.1016/J.COMPFLUID.2015.02.012
Joel H. Ferziger, Milovan Peric, Computational methods for fluid dynamics ,(1996)
Hans Petter Langtangen, Kent-Andre Mardal, Ragnar Winther, Numerical methods for incompressible viscous flow Advances in Water Resources. ,vol. 25, pp. 1125- 1146 ,(2002) , 10.1016/S0309-1708(02)00052-0
Shuyu Sun, Amgad Salama, M.F. El-Amin, An Equation-Type Approach for the Numerical Solution of the Partial Differential Equations Governing Transport Phenomena in Porous Media international conference on conceptual structures. ,vol. 9, pp. 661- 669 ,(2012) , 10.1016/J.PROCS.2012.04.071