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

Authors: Khai Ching Ng, Mohd. Zamri Yusoff, Eddie Yin Kwee Ng

Addresses: Department of Mechanical Engineering, Universiti Tenaga Nasional, Km. 7, Jalan Kajang-Puchong, 43009 Kajang, Selangor Darul Ehsan, Malaysia. ' Department of Mechanical Engineering, Universiti Tenaga Nasional, Km. 7, Jalan Kajang-Puchong, 43009 Kajang, Selangor Darul Ehsan, Malaysia. ' School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, 639798, Singapore

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.

Keywords: normalised variable diagram; NVD differencing; GAMMA scheme; compressible flow; unstructured mesh; agglomeration multigrid; density-based method; nozzle; airfoil; spatial discretisation; CFD; computational fluid dynamics.

DOI: 10.1504/PCFD.2006.010964

Progress in Computational Fluid Dynamics, An International Journal, 2006 Vol.6 No.7, pp.389 - 401

Published online: 22 Sep 2006 *

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