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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/25802

Title: Implicit preconditioned WENO scheme for steady viscous flow computation
Authors: Juan-Chen Huanga;Herng Linb;Jaw-Yen Yang
Contributors: NTOU:Department of Merchant Marine
Keywords: Preconditioned Navier-Stokes equations;WENO schemes;Low Mach number flow;Transonic flows;Hypersonic flow;All speeds;Spalart-Allmaras turbulence model
Date: 2009
Issue Date: 2011-10-20T08:32:30Z
Publisher: Journal of Computational Physics
Abstract: Abstract:A class of lower-upper symmetric Gauss-Seidel implicit weighted essentially nonoscillatory (WENO) schemes is developed for solving the preconditioned Navier-Stokes equations of primitive variables with Spalart-Allmaras one-equation turbulence model. The numerical flux of the present preconditioned WENO schemes consists of a first-order part and high-order part. For first-order part, we adopt the preconditioned Roe scheme and for the high-order part, we employ preconditioned WENO methods. For comparison purpose, a preconditioned TVD scheme is also given and tested. A time-derivative preconditioning algorithm is devised and a discriminant is devised for adjusting the preconditioning parameters at low Mach numbers and turning off the preconditioning at intermediate or high Mach numbers. The computations are performed for the two-dimensional lid driven cavity flow, low subsonic viscous flow over S809 airfoil, three-dimensional low speed viscous flow over 6:1 prolate spheroid, transonic flow over ONERA-M6 wing and hypersonic flow over HB-2 model. The solutions of the present algorithms are in good agreement with the experimental data. The application of the preconditioned WENO schemes to viscous flows at all speed not only enhances the accuracy and robustness of resolving shock and discontinuities for supersonic flows, but also improves the accuracy of low Mach number flow with complicated smooth solution structures.
Relation: 228(2), pp.420-438
URI: http://ntour.ntou.edu.tw/handle/987654321/25802
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