An efficient second-order projection method for viscous incompressible flow

10th Computational Fluid Dynamics Conference, 1991

Volumn , Issue , 1991, Pages

  Bell, John B ^a   Colella, Phillip ^b   Howell, Louis H ^a  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; CONTROL NONLINEARITIES; CONVERGENCE OF NUMERICAL METHODS; DIFFUSION IN LIQUIDS; FLUID DYNAMICS; INCOMPRESSIBLE FLOW; LINEAR SYSTEMS; NUMERICAL METHODS; REYNOLDS NUMBER; VECTOR SPACES; VORTEX FLOW;

DIFFERENCE APPROXIMATION; DIFFUSION-CONVECTION EQUATIONS; DIVERGENCE FREE VECTOR FIELDS; INCOMPRESSIBLE NAVIER STOKES EQUATIONS; INTERMEDIATE VELOCITIES; NUMERICAL CONVERGENCE; SECOND ORDER GODUNOV METHOD; VISCOUS INCOMPRESSIBLE FLOWS;

NAVIER STOKES EQUATIONS;

EID: 85006371248     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (13)

1. A. J. Chorin, “Numerical Solution of the NavierStokes Equations,” Math. Comp., vol. 22, pp. 745-762, Oct. 1968.
2. A. J. Chorin, “On the Convergence of Discrete Approximations to the Navier-Stokes Equations,” Math. Comp., vol. 23, pp. 341-353, April 1969.
3. A. J. Chorin, “Numerical Solution of Incompressible Flow Problems,” Studies in Num. Anal., vol. 2, pp. 64-71, 1968.
4. 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.
5. F. H. Harlow and J. E. Welch, “Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluids with Free Surfaces,” Physics of Fluids, vol. 8, pp. 2182-2189, 1965.
6. 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.
7. J. B. Bell, P. Colella, and H. M. Glaz, “A Second-Order Projection Method for the Incompressible Navier-Stokes Equations,” J. Comp. Phys., vol. 85, pp. 257-283, 1989.
8. J. B. Bell, J. M. Solomon, and W. G. Szymczak, “A Second-Order Projection Method for the Incompressible Navier Stokes Equations on Quadrilateral Grids,” paper no. 89-1967-CP, AIM 9th Comp. Fluid Dynamics Conf. , Buffalo, NY, June 14-16, 1989.
9. J. B. Bell, J. M. Solomon, and W. G. Szymczak, “A Second-Order Projection Method for the Three-Dimensional Euler and Navier-Stokes Equations,” to appear, 1991.
10. J. B. Bell and D. L. Marcus, “A Second-Order Projection Method for Variable-Density Flows,” UCRL-JC-104132, May 1990. submitted for publication
11. R. Temam, Navier-Stokes Equations, Elsevier Science Publishers, Amsterdam, 1984.
12. J. B. Bell, C. N. Dawson, and G. R. Shubin, “An Unsplit, Higher-Order Godunov Method for Scalar Conservation Laws in Multiple Dimensions,” J. Comp. Phys., vol. 74, pp. 1-24, 1988.
13. W. L. Briggs, in A Multigrid Tutorial, SIAM, Philadelphia, 1987.