Computations of wall distances by solving a transport equation

Abstract：Computations of wall distances still play a key role in modern turbulence modeling. Motivated by the expense involved in the computation, an approach solving partial differential equations is considered. An Euler-like transport equation is proposed based on the Eikonal equation. Thus, the efficient algorithms and code components developed for solving transport equations such as Euler and Navier-Stokes equations can be reused. This article provides a detailed implementation of the transport equation in the Cartesian coordinates based on the code of computational fluid dynamics for missiles (MI-CFD) of Beihang University. The transport equation is robust and rapidly convergent by the implicit lower-upper symmetric Gauss-Seidel (LUSGS) time advancement and upwind spatial discretization. Geometric derivatives must also be upwind determined to ensure accuracy. Special treatments on initial and boundary conditions are discussed. This distance solving approach is successfully applied on several complex geometries with 1-1 blocking or overset grids. 作者： Author： Jing-lei XU  Chao YAN  Jing-jing FAN 作者單位： National Laboratory for Computational Fluid Dynamics, Beihang University, Beijing 100191, P. R. China 期 刊： 應用數學和力學（英文版）   EISCI Journal： APPLIED MATHEMATICS AND MECHANICS 年，卷(期)： 2011, 32(2) 分類號： V211.3 Keywords： wall distance    numerical simulation    overset grid    機標分類號： O4 O29 機標關鍵詞： transport equation    partial differential equations    computational fluid dynamics    boundary conditions    approach    implementation    Navier-Stokes    Euler    based    algorithms    Special    initial    complex    robust    modern    time    key 基金項目： Project supported by the National Basic Research Programme of China，the Post-Doctoral Science Foundation of China

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