An Upwind Multigrid Algorithm for Calculating Flows on Unstructured Grids
نویسنده
چکیده
An algorithm is described that calculates inviscid, laminar, and turbulent flows on triangular meshes with an upwind discretization. A brief description of the base solver and the multigrid implementation is given, followed by results that consist mainly of convergence rates for inviscid and viscous flows over a NACA four-digit airfoil section. The results show that multigrid does accelerate convergence when the same relaxation parameters that yield good single-grid performance are used; however, larger gains in performance can be realized by doing less work in the relaxation scheme.
منابع مشابه
An Upwind Multigrid Method for Solving Viscous Flows on Unstructured Triangular Meshes
A multigrid algorithm is combined with an upwind scheme for solving the twodimensional Reynolds-averaged Navier-Stokes equations on triangular meshes resulting in an efficient, accurate code for solving complex flows around multiple bodies. The relaxation scheme uses a backward-Euler time difference and relaxes the resulting linear system using a red-black procedure. Roe’s flux-splitting scheme...
متن کاملOn the Development of an Agglomeration Multigrid Solver for Turbulent Flows
The paper describes the implementation details and validation results for an agglomeration multigrid procedure developed in the context of hybrid, unstructured grid solutions of aerodynamic flows. The governing equations are discretized using an unstructured grid finite volume method, which is capable of handling hybrid unstructured grids. A centered scheme as well as a second order version of ...
متن کاملAn Implicit Upwind Algorithm for Computing Turbulent Flows on Unstructured Grids
An implicit, Navier-Stokes solution algorithm is presented for the computation of turbulent flow on unstructured grids. The inviscid fluxes are computed using an upwind algorithm and the solution is advanced in time using a backward-Euler time-stepping scheme. At each time step, the linear system of equations is approximately solved with a point-implicit relaxation scheme. This methodology prov...
متن کاملA Robust Multigrid Algorithm for the EulerEquations with Local Preconditioningand Semi-coarsening
A semi-coarsened multigrid algorithm with a point block Jacobi, multi-stage smoother for second-order upwind discretizations of the two-dimensional Euler equations which produces convergence rates independent of grid size for moderate subsonic Mach numbers is presented. By modification of this base algorithm to include local preconditioning for low Mach number flows, the convergence becomes lar...
متن کاملUnstructured Algorithms for Inviscid and Viscous Flows Embedded in a Unified Solver Architecture: Flo3xx
This paper reports recent progress towards a new platform for computational aerodynamics on arbitrary meshes, tentatively designated Flo3xx. This tool is designed for maximum flixibility to serve as both an industrial strength flow solver on general grids, and as a framework for advanced research in the area of CFD and aerodynamic design. Such a flexible platform is crucial for transfering new ...
متن کامل