A second-order projection method for the incompressible Navier Stokes equations on quadrilateral grids

Author:

BELL JOHN1,SOLOMON JAY2,SZYMCZAK WILLIAM2

Affiliation:

1. Lawrence Livermore National Laboratory, Livermore, CA

2. U.S. Navy, Naval Surface Warfare Center, Silver Spring, MD

Publisher

American Institute of Aeronautics and Astronautics

Reference2 articles.

1. A second-order projection method for viscous, incompressible flow

2. J. B. Bell, H. M. Glaz, J. M. Solomon,and W. G. Szymczak, "Application of a Second-Order Projection Method to the Study of Shear Layers," 11th Inbternational Conference on Numerical Methods in Fluid Dynamics, Williamsburg, VA,June27-July 1,1988. J. Van Kan, "A Second-Order Accurate Pressure-Correction Scheme for Viscous Incompressible Flow,"SIAM J. Sci. Stat. Comput., vol.7, pp.870-891,July 1986. A. J. Chorin, "On the Convergence of Discrete Approximations to the Navier-StokesEquations," Math. Comp.,vol. 23, pp. 341-353,April 1969. R. Temam, Navier-Stokes Equations, Elsevier SciencePublishers,Amsterdam, 1984. J. Kim and P. Moin, "Application of a Fractional-Step Method for Incomressible Navier-Stokes Equations," J. Comput. Phys., vol. 59,pp. 308-323, 1985. P. Colella, "A Multidimensional Second Order Godunov Scheme for Conservation Laws," LBL17023,Lawrence Berkeley Laboratory, to appear in J. Comp. Phys. B. Van Leer, "Multidimensional Explicit Difference Schemes for Hyperbolic Conservation Laws," Computing Methods in Applied Sciences and Engineering, VI, pp. 493-499, Elsevier SciencePublishers, 1984. A. B. Stephens,J. B. Bell, J. M. Solomon,and L. B. Hackerman, "A Finite Difference Galerkin Formulation of the Incompressible Navier-Stokes Equations," J.Comp.Phys., vol. 53, pp. 152-172, Jan. 1984. J. M. Solomon and W. G. Szymczak, "Finite Difference Solutions for the Incompressible Navier-Stokes Equations using Galerkin Techniques," Fifth IMACS International Symposium on Computer Methods for Partial Differential Equations, Lehigh University,June 19-21,1984. J. B. Bell, G. R. Shubin,and A. B. Stephens, "A Segmentation Approach to Grid Generation Using Biharmonics," J. Comp. Phys., vol. 47, pp. 463-472, 1982. B, F. Armaly, F. Durst, J. C. F. Pereira, and B. Schonung, "Experimental and theoretical investigation of backward-facing step flow," J. Fluid Mech., vol. 127,pp. 473-496, 1983.

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