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A semi-coarsening strategy for unstructured multigrid based on agglomeration. (English) Zbl 0928.76063
We examine multigrid method for solving second-order PDE’s on stretched unstructured triangulations by using the finite volume agglomeration multigrid technique originally developed for solving the Euler equations. First, a directional semi-coarsening strategy based on Poisson’s equation is proposed. The second-order derivatives are approximated on each level by introducing a correction factor adapted to the semi-coarsening strategy. Then, this method is applied to solve the Poisson equation. The method is extended to the two-dimensional Reynolds-averaged Navier-Stokes equations with appropriate boundary treatment for low-Reynolds number turbulent flows.

76M12 Finite volume methods applied to problems in fluid mechanics
76N15 Gas dynamics (general theory)
76G25 General aerodynamics and subsonic flows
76F10 Shear flows and turbulence
65M55 Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs
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