WEN Gong-bi, CHEN Zuo-bin. Unsteady/Steady Numerical Simulation of Three-Dimensional Incompressible Navier-Stokes Equations on Artificial Compressibility[J]. Applied Mathematics and Mechanics, 2004, 25(1): 53-66.
Citation: WEN Gong-bi, CHEN Zuo-bin. Unsteady/Steady Numerical Simulation of Three-Dimensional Incompressible Navier-Stokes Equations on Artificial Compressibility[J]. Applied Mathematics and Mechanics, 2004, 25(1): 53-66.

Unsteady/Steady Numerical Simulation of Three-Dimensional Incompressible Navier-Stokes Equations on Artificial Compressibility

  • Received Date: 2002-06-18
  • Rev Recd Date: 2003-07-22
  • Publish Date: 2004-01-15
  • A central and upwind difference scheme mixed algorithm are presented for soh}ing steady/unsteady three dimensional incompressible Navier-Stokes equations on artifical compressibility.The left side equations were implicit approximate factorizated and used centered difference scheme.The numerical flux on the right side of semi-discretized equations was calculated using the Roe approximate Riemann solver with three order accuracy.The algebraic turbulence model of Badwin-Lomax was used.Two dimensional flat,airfoil,prolate spheroid and cerebral aneurysm were calculated as examples compared with experiment data.The results show that the coefficient of pressure and skin friction computed consistent with experimental data,the largest discrepancy occur in the separation region where Badwin-Lomax algebraic turbulence model could not exactly predict the flow.
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  • [1]
    Chorin A J. A numerical method for solving incompressible viscous flow problem[J].Journal of Computation Physics,1967,2:12—26. doi: 10.1016/0021-9991(67)90037-X
    [2]
    Turkle E.Preconditioned methods for solving the incompressible and low-speed compressible equations[J]. Journal of Computation Physics,1987,72(2):277—298. doi: 10.1016/0021-9991(87)90084-2
    [3]
    Merkle C L,Choi D. Application of time-iterative schemes to incompressible flow[J].AIAA J, 1985,23(10):1518—1524. doi: 10.2514/3.9119
    [4]
    Chang J L C,Kwak D. On the method of pseudo compressibility for numerically solving incompressible flows[R]. AIAA-84-0252.
    [5]
    Pan D,Chakravarthy S. Unified formulation for incompressible flows[R]. AIAA-89-0122.
    [6]
    Rogers S E,Kwak D,Kiri C. Steady and unsteady solution of the incompressible Navier-Stokes equation[J].AIAA J,1991,29(4):603—610. doi: 10.2514/3.10627
    [7]
    Whitefield D L,Taylor L K. Unsteady three-dimensional incompressible Euler and Navier-Stokes solver for stationary and dynamic grids[R]. AIAA-91-1650.
    [8]
    Roe P L. Approximate Riemann solvers,parameter vectors, and difference schemes[J].Journal of Computational Physics,1981,43(10):357—372. doi: 10.1016/0021-9991(81)90128-5
    [9]
    Baldwin B S,Lomax H. Thin-layer approximation and algebraic model for separated turbulent flows[R]. AIAA-78-257.
    [10]
    Rogers S E,Kwak D,Kaul U. On the accuracy of the pseudocompressibility method in solving the incompressible Navier-Stokes equations[R]. AIAA-85-1689.
    [11]
    Taylor L K, Arabshahi A,Whitefield D L. Unsteady three-dimensional incompressible Navier-Stokes computations for a prolate spheroid undergoing time-dependent maneuvers[R]. AIAA-95-0313.
    [12]
    Taylor L K. Unsteady three-dimensional impressible algorithm based on artificial compressibility[D]Ph D Dissertation.Mississippi State University,1991.
    [13]
    Pulliam T H,Steger J L.Implicit finite-difference simulations of three-dimensional compressible flow[J].AIAA,1980,18(2):159—167. doi: 10.2514/3.50745
    [14]
    温功碧.三维定常/非定常不可压缩流动N-S方程基于人工压缩性方法的数值模拟[R]. 中国空气动力研究和发展中心 技术报告,2001.
    [15]
    Choi D,Merkle C L. Application of time-iterative schemes to incompressible flow[J].AIAA,1985,23(10):1518—1524. doi: 10.2514/3.9119
    [16]
    Wu J C, Wang C M,Tuncer I H.Unsteady aerodynamics of rapidly pitched airfoils[R]. AIAA 86-1105.
    [17]
    Rosenfeld M, Israeli M ,Wolfshtein M. Numerical study of the skin Friction on a spheroid at incidence[J].AIAA,1988,26(2):129—136. doi: 10.2514/3.9863
    [18]
    Dallmann U. Topological structures of three dimension vortex flow separation[R]. AIAA 83-1735.
    [19]
    Hirsch R S,Cebeci T. Calculation of three dimension boundary layers with negative cross flow on bodies of revolution[R]. AIAA 77-683.
    [20]
    Hoang N T, Wetzel T G, Simpson R L. Surface pressure measurements over a 6∶1 prolate spheroid undergoing time-dependent maneuvers[R]. AIAA 94-1908.
    [21]
    Sheng C, Taylor L K, Whitefield D L. A multigrid algorithm for three-dimensional incompressible high Reynolds number turbulent flows[J]. AIAA,1995,33(11):2073—2079. doi: 10.2514/3.12949
    [22]
    Hoang N T, Wetzel T G, Simpson R L. Unsteady measurements over a 6∶1 prolate spheroid undergoing a pitch-up maneuver[R]. AIAA 94-0197.
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