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All Speed and High-Resolution Scheme Applied to Three-Dimensional Multi-Block Complex Flowfield System

Published online by Cambridge University Press:  05 May 2011

Uzu- Kuei Hsu ,
Chang- Hsien Tai  and
Chien- Hsiung Tsai
Uzu- Kuei Hsu*
Affiliation:
Department of Aircraft Maintenance and Repair, Air Force Institute of Technology, Kaohsiung, Taiwan 820, R. O. C.
Chang- Hsien Tai*
Affiliation:
Department of Vehicles Engineering, National Pingtung University of Science and Technology, Neipu Shiang, Pingtung, Taiwan 912, R.O.C.
Chien- Hsiung Tsai*
Affiliation:
Department of Vehicles Engineering, National Pingtung University of Science and Technology, Neipu Shiang, Pingtung, Taiwan 912, R.O.C.
*
* Professor
** Research Assistant
** Research Assistant
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Abstract

The improved numerical approach is implemented with preconditioned Navier-Stokes solver on arbitrary three-dimensional (3-D) structured multi-block complex flowfield. With the successful application of time-derivative preconditioning, present hybrid finite volume solver is performed to obtain the steady state solutions in compressible and incompressible flows. This solver which combined the adjective upwind splitting method (AUSM) family of low-diffusion flux-splitting scheme with an optimally smoothing multistage scheme and the time-derivative preconditioning is used to solve both the compressible and incompressible Euler and Navier-Stokes equations. In addition, a smoothing procedure is used to provide a mechanism for controlling the numerical implementation to avoid the instability at stagnation and sonic region. The effects of preconditioning on accuracy and convergence to the steady state of the numerical solutions are presented. There are two validation cases and three complex cases simulated as shown in this study. The numerical results obtained for inviscid and viscous two-dimensional flows over a NACA0012 airfoil at free stream Mach number ranging from 0.1 to 1.0E-7 indicates that efficient computations of flows with very low Mach numbers are now possible, without losing accuracy. And it is effectively to simulate 3-D complex flow phenomenon from compressible flow to incompressible by using the advanced numerical methods.

Keywords

preconditioningfinite volumemulti-block
Type
Articles
Information
Journal of Mechanics , Volume 20 , Issue 1 , March 2004 , pp. 13 - 25
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2004

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