Compressible viscous flow simulation by multigrid methods. (English) Zbl 0687.76073
The ‘local’ multigrid scheme is used to calculate some standard aerodynamic test cases in two-dimensions modeled by the Navier-Stokes equations of compressible flow. Although the governing equations are unstationary, time integration of the semi-discrete models tends asymptotically to the stationary solutions of the system. The multigrid strategy can thus be adapted to these pseudo-unstationary problems via a combination of a time-stepping scheme along with a suitable smoother (‘solver’) for the discrete model over the different grids. Since time steps are proportional to mesh size, time stepping plus multigriding should accelerate convergence: one multigrid cycle represents several equivalent fine grid time-steps in an ordinary iterative context.
MSC:
| 76N10 | Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics |
| 76M99 | Basic methods in fluid mechanics |
Keywords:
‘local’ multigrid scheme; Navier-Stokes equations; compressible flow; pseudo-unstationary problems; time-stepping schemeReferences:
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