Analysis and application of a line solver for the recirculating flows using multigrid methods. (English) Zbl 0725.76062
Numerical treatment of the Navier-Stokes equations, Proc. 5th GAMM- Semin., Kiel/Ger. 1989, Notes Numer. Fluid Mech. 30, 134-144 (1990).
Summary: [For the entire collection see Zbl 0718.00016.]
This paper describes an efficient line solver for the coupled equations. The calculation procedure, called SCGS/LS (Symmetrical coupled Gauß- Seidel/line solver), is based on the SCGS scheme. The technique is applied to the driven cavity problem for the incompressible Navier-Stokes equations. A Fourier analysis of this technique is carried out. The scheme is simple and easy to programme. The rates of convergence and the computational times are reported for the test case.
This paper describes an efficient line solver for the coupled equations. The calculation procedure, called SCGS/LS (Symmetrical coupled Gauß- Seidel/line solver), is based on the SCGS scheme. The technique is applied to the driven cavity problem for the incompressible Navier-Stokes equations. A Fourier analysis of this technique is carried out. The scheme is simple and easy to programme. The rates of convergence and the computational times are reported for the test case.
MSC:
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
