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The Research of Numerical Perturbation Algorithm in Computational Fluid Dynamics

Author: ZhuKe
Tutor: LiMingJun
School: Xiangtan University
Course: Computational Mathematics
Keywords: Computational Fluid Dynamics Convection-diffusion equation QUICK scheme Numerical perturbation high precision reconstructed SIMPLE algorithm
CLC: O35
Type: Master's thesis
Year: 2011
Downloads: 48
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Abstract

Computational Fluid Dynamics (CFD) has a wide range of scientific and engineering application, various calculation format and algorithm CFD research hotspot. The numerical perturbation Gao Zhisheng algorithm is a computational fluid dynamics calculation format high accuracy and resolution reconstruction of a common method, which is a high accuracy, high resolution, stable range, high computational efficiency, practical, high-performance algorithm. Numerical perturbation algorithm (referred to as high-algorithm) introduced by computing the equation and Reconstruction format itself, and does not affect downstream the upstream convection movement rules and the elimination of the reconstructed format Differential truncation error repair ended items, the final value photo automatically Reconstruction of the format (referred to as the high format). Obviously, hyperbolic equations, Eider equations, convection-diffusion equation and the Navier-Stokes (NS) equations format will form a family of large format, many of the important members of the family, such as the three-node format has been proposed, but many fully expected format, like a multi-node format has not yet built out. The thesis is divided into two parts: 1 paper using numerical perturbation algorithm convection diffusion equation commonly QUICK format (viscous and convection, respectively, with the second-order center and the QUICK scheme discrete) numerical perturbation highly accurate reconstruction of including Reconstruction of discrete element node global remodeling and discrete unit on the downstream node on the downstream, that does not affect downstream upstream convective motion law introduced in the reconstruction, and get two new types of higher-order The accuracy of the numerical perturbation refactoring format, called high-QUICK scheme (denoted as G-QUICK format). G-QUICK format QUICK format compared to the simplicity of a considerable, but more accurate; G-QUICK format and QUICK format are the conditions for a stable global reconstruction, upstream and downstream remodeling absolutely stable G-QUICK format. Analytical and numerical examples confirmed the excellent performance of the G-QUICK format, upstream and downstream remodeling G-QUICK format provides a new way to avoid the use of artificial viscosity QUICK format of the convection-diffusion equation. Paper a high-order upwind finite volume scheme algorithm refactoring formats eleven high upwind finite volume format (GUVS) and incompressible flow and compressible flow SIl} MPLE algorithm combined numerical simulation of a variety of width to depth ratio subsonic and transonic cavity flow. Using sixth-order high upwind finite volume scheme (GUVS) on the same grid of structural and non-structural simulation of different width and depth Shakespeare transonic cavity flow, to obtain good numerical results. For example, the numerical results of subsonic cavity flow and Ghia multigrid technique obtained Benchmark solutions agree very well; different width to depth ratio of cavity flow numerical simulation of a large-scale vortices, the formation of small-scale vortex chamber angle, bifurcation evolution, show that the six order accuracy GUVS with high resolution, good stability, good performance.

The Research of Numerical Perturbation Algorithm in Computational Fluid Dynamics

Abstract

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