A central-difference scheme for a pure stream function formulation of incompressible viscous flow

SIAM Journal on Scientific Computing

Volumn 23, Issue 1, 2002, Pages 1-18

  Kupferman, Raz ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

Algebraic multigrid; Biharmonic equation; High resolution schemes; Incompressible Navier Stokes equations; Stream function; Vorticity

Indexed keywords

BOUNDARY CONDITIONS; INCOMPRESSIBLE FLOW; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER; VORTEX FLOW;

BIHARMONIC EQUATIONS;

VISCOUS FLOW;

EID: 0036202978     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827500373395     Document Type: Article

References (22)

1. Multigrid solution of automatically generated high-order discretizations for the biharmonic equation
2. A high order explicit method for the computation of flow about a circular cylinder
3. Galerkin spectral method for the vorticity and stream function equations
4. Vorticity dynamics and numerical resolution of the incompressible Navier-Stokes equations
5. On the convergence of discrete approximations to the Navier-Stokes equations
6. Numerical study of slightly viscous flow
7. Essentially compact schemes for unsteady viscous incompressible flows
8. Vorticity boundary condition and related issues for finite difference schemes
9. High-resolutions for incompressible flow using the Navier-Stokes equations and a multigrid method
10. Hyperbolic systems of conservation laws
11. Time-dependent viscous incompressible Navier-Stokes equations: The finite difference Galerkin formulation and stream function algorithms
12. Algebraic multigrid for discrete elliptic second-order problems
13. A fast high-resolution second-order central scheme for incompressible flows
14. Third-order semidiscrete central scheme for conservation laws and convection-diffusion equations
15. New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
16. Non-oscillatory central schemes for the incompressible 2-D Euler equations
17. Non-oscillatory central differencing for hyperbolic conservation laws
18. A projection/wave-like equation method for the numerical simulation of incompressible viscous fluid flow modeled by the Navier-Stokes equations
19. Hopf bifurcation of the unsteady regularized driven cavity flow
20. The flow past circular cylinders at low speeds