Agglomeration multigrid for two-dimensional viscous flows

作者: D.J. Mavriplis , V. Venkatakrishnan

DOI: 10.1016/0045-7930(95)00005-W

关键词: GridOperator (computer programming)Euler equationsPolygon meshNavier–Stokes equationsMathematical analysisLaplace transformMultigrid methodMathematicsGalerkin method

摘要: Abstract Agglomeration multigrid, which has been demonstrated as an efficient and automatic technique for the solution of Euler equations on unstructured meshes, is extended to viscous turbulent flows. For diffusion terms, coarse grid discretizations are not possible, more accurate transfer operators required well. A Galerkin operator construction implicit prolongation proposed. Their suitability evaluated by examining their effect Laplace's equation. The resulting strategy employed solve Reynolds-averaged Navier-Stokes aerodynamic Convergence rates comparable those obtained a previously developed non-nested mesh multigrid approach demonstrated, suggestions further improvements given.

参考文章(16)
V Venkatakrishnan, Marsha Berger, D Mavriplis, Unstructured multigrid through agglomeration ,(1993)
Pieter Wesseling (Dr. Ir.), An Introduction to Multigrid Methods ,(1992)
Bruno Koobus, Marie-Hélène Lallemand, Alain Dervieux, Unstructured volume‐agglomeration MG: Solution of the Poisson equation International Journal for Numerical Methods in Fluids. ,vol. 18, pp. 27- 42 ,(1994) , 10.1002/FLD.1650180103
VINCENT CHIN, DAVID PETERS, FRANK SPAID, ROBERT MCGHEE, Flowfield measurements about a multi-element airfoil at high Reynolds numbers 23rd Fluid Dynamics, Plasmadynamics, and Lasers Conference. ,(1993) , 10.2514/6.1993-3137
J. PERAIRE, J. PEIRO, K. MORGAN, A 3D finite element multigrid solver for the Euler equations AIAA Materials Specialist Conference - Coating Technology for Aerospace Systems. ,(1992) , 10.2514/6.1992-449
V. Venkatakrishnan, Dimitri J. Mavriplis, Implicit Solvers for Unstructured Meshes Journal of Computational Physics. ,vol. 105, pp. 83- 91 ,(1993) , 10.1006/JCPH.1993.1055
Marie-Helene Lallemand, Herve Steve, Alain Dervieux, Unstructured multigridding by volume agglomeration: Current status Computers & Fluids. ,vol. 21, pp. 397- 433 ,(1992) , 10.1016/0045-7930(92)90047-Y
B. Koren, P.W. Hemker, Damped, direction-dependent multigrid for hypersonic flow computations Applied Numerical Mathematics. ,vol. 7, pp. 309- 328 ,(1991) , 10.1016/0168-9274(91)90067-A