Assessment of preconditioning methods for multidimensional aerodynamics. (English) Zbl 0893.76063
The authors investigate preconditioning methods for solving the conservation equations for multidimensional aerodynamic flows. They propose to change the differential equations, particularly for low-speed flows. This approach offers the advantage that, for example, the artificial viscosity or the discretization on the whole can be changed, and also that the boundary conditions can be modified to be compatible with the preconditioned differential equations. The paper then demonstrates that the preconditioning chosen can be combined with well-known convergence acceleration techniques such as residual smoothing and multigrid. In comparison to other investigations, the analysis mainly deals with preconditioning for high-Reynolds external flows. Two algorithms are discussed, and several flow computations are reported, including a computation for the ONERA-M6 wing at Reynolds number of \(11\times 10^6\). The paper concludes with a comparison of the cases computed.
Reviewer: E.Krause (Aachen)
MSC:
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 76N10 | Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics |
Keywords:
conservation equations; low-speed flows; artificial viscosity; boundary conditions; convergence acceleration; residual smoothing; multigrid; high-Reynolds external flows; ONERA-M6 wingReferences:
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