A second-order projection method for viscous, incompressible flow

8th Computational Fluid Dynamics Conference, 1987

Volumn , Issue , 1987, Pages 789-794

  Bell, John B ^a   Colella, Phillip ^a   Glaz, Harland M ^b  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; COMPUTATIONAL FLUID DYNAMICS; CONVERGENCE OF NUMERICAL METHODS; FLUID DYNAMICS; GALERKIN METHODS; INCOMPRESSIBLE FLOW; NAVIER STOKES EQUATIONS; NUMERICAL METHODS; REYNOLDS NUMBER;

CONVERGENCE PROPERTIES; DIVERGENCE FREE VECTOR FIELDS; GALERKIN FORMULATION; INCOMPRESSIBLE NAVIER STOKES EQUATIONS; NONLINEAR CONVECTION; NUMERICAL APPROXIMATIONS; POSITIVE DEFINITE; PROJECTION METHOD;

ITERATIVE METHODS;

EID: 84997794983     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (13)

1. O. A. Ladyzhenskaya, Mathematical Problems in the Dynarnics of a Viscous Incompressible Flow, Gordon and Breach, New York, 1963.
2. H Fujita and T Kato, “On the Navier-Stokes initial value problem,” Arch. Rat. Mech. Anal., vol. 16, pp. 269-315, 1964.
3. A. Krzywicki and O. A. Ladyzhenskaya, “A Grid Method for the Navier-Stokes equations,” Soviet Phys. Dokl, vol. 11, p. 212, 1966.
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6. A. J. Chorin, “On the Convergence of Discrete Approxi-mations to the Navier-Stokes Equations,” Math. Comp., vol. 23, pp. 341-353, April 1969.
7. R. Temam, “Sur l’approximation de la solution de Navier-Stokes par la methode des pas fractionnaires Arch. Rat. Mech. Anal., vol. 32, pp. 135-153,377-385, 1969.
8. 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.
9. A. B. Stephens, J. B. Bell, J. M. Solomon, and L. B. Hackerman, “A Finite Difference Galerkin Fonnulation of the Incompressible Navier-Stokes Equations,” JCP, vol. 53, pp. 152-172, Jan. 1984.
10. P. Colella, “A Multidimensional Second Order Godunov Scheme for Conservation Laws,” LBL-17023, Lawrence Berkeley Laboratory, May 1984.
11. J. B. Bell, C. N. Dawson, and G. R. Shubin, “An Unsplit, Higher-Order Godunov Method for Scalar Con-servation Laws in Multiple Dimensions,” JCP, to appear.
12. T. F. Russell and M. F. Wheeler, “Finite element and finite difference methods for continuous flows in porous media,” in Mathematics of Reservoir Simulation, SIAM, Philadelphia, 1984.
13. A. Weiser and M. Wheeler, On convergence of five-point block-centered finite differences for elliptic problems, to appear.