Multigrid solution of Euler equations using high-resolution NVD differencing scheme for unstructured meshes

• Main Authors: Ng K.C., Yusoff M.Z., Ng E.Y.K.
• Other Authors: 55310814500
• Format: Article
• Published: Inderscience Publishers 2023
• Subjects: Agglomeration multigrid; Compressible flow; Density-based method; GAMMA scheme; Normalised Variable Diagram (NVD); Unstructured mesh; Airfoils; Algorithms; Computational fluid dynamics; Computer simulation; Convergence of numerical methods; Nozzles; Runge Kutta methods; Agglomeration multigrid scheme; Euler equations; GAMMA differencing scheme

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.