Publication: Multigrid solution of Euler equations using high-resolution NVD differencing scheme for unstructured meshes
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Date
2006
Authors
Ng K.C.
Yusoff M.Z.
Ng E.Y.K.
Journal Title
Journal ISSN
Volume Title
Publisher
Inderscience Publishers
Abstract
High-speed compressible flows in a nozzle and over an airfoil have been computed by solving the Euler equations using the GAMMA differencing scheme for spatial discretisation on unstructured grid. This high-resolution technique originally developed in a segregated algorithm has now been modified for the present coupled solver by introducing a non-linear blending factor to enhance its convergence property while preserving the Total Variation Diminishing (TVD) criterion. The efficiencies of the GAMMA scheme and its variant have been augmented with a novel agglomeration multigrid scheme to accelerate the convergence to steady state using the multi-stage Runge-Kutta time-marching technique. Copyright � 2006 Inderscience Enterprises Ltd.
Description
Keywords
Agglomeration multigrid , Compressible flow , Density-based method , GAMMA scheme , Normalised Variable Diagram (NVD) , Unstructured mesh , Airfoils , Algorithms , Compressible flow , Computational fluid dynamics , Computer simulation , Convergence of numerical methods , Nozzles , Runge Kutta methods , Airfoils , Algorithms , Compressible flow , Computer simulation , Convergence of numerical methods , Nozzles , Runge Kutta methods , Agglomeration multigrid scheme , Euler equations , GAMMA differencing scheme , Normalised Variable Diagram (NVD) , Unstructured mesh , Computational fluid dynamics