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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 作者单位： National Laboratory for Computational Fluid Dynamics, Beihang University, Beijing 100191, P. R. China 期 刊： 应用数学和力学（英文版） EISCI Journal： APPLIED MATHEMATICS AND MECHANICS 年，卷(期)： 2011, 32(2) 分类号： V211.3 Keywords： wall distance numerical simulation overset grid 机标分类号： O4 O29 机标关键词： transport equation partial differential equations computational fluid dynamics boundary conditions approach implementation Navier-Stokes Euler based algorithms Special initial complex robust modern time key 基金项目： Project supported by the National Basic Research Programme of China，the Post-Doctoral Science Foundation of China【Computations of wall distances by so】相关文章：
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