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A High Order Accurate Difference Scheme for Complex Flow Fields

✍ Scribed by Dexun Fu; Yanwen Ma

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
831 KB
Volume
134
Category
Article
ISSN
0021-9991

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✦ Synopsis

are still oscillations near the shock with higher order upwind schemes and they have to be improved also. There are A high order accurate finite difference method for direct numerical simulation of coherent structure in the mixing layers is presented. many second-order accurate schemes like TVD schemes The reason for oscillation production in numerical solutions is anawhich can simulate the shocks with high resolution. Many lyzed. It is caused by a nonuniform group velocity of wavepackets. existing schemes with high resolution of the shock are A method of group velocity control for the improvement of the complicated and expensive.

shock resolution is presented. In numerical simulation the fifth-

The purpose of the present paper is to present a method order accurate upwind compact difference relation is used to approximate the derivatives in the convection terms of the compress-for better simulation of the complex flow fields with ible N-S equations, a sixth-order accurate symmetric compact difshocklets. The reason of oscillation production in numeriference relation is used to approximate the viscous terms, and a cal solutions is analyzed. It is because of nonuniform group three-stage R-K method is used to advance in time. In order to velocity of wavepacket. In order to improve the shock improve the shock resolution the scheme is reconstructed with the resolution the group velocity must be controlled. A method method of diffusion analogy which is used to control the group velocity of wavepackets. ᮊ 1997 Academic Press of group velocity control is presented. In numerical simulation the derivatives in the convection terms of the N-S equations are discretized with the fifth-order accurate up-

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