应用数学和力学2011，Vol.32Issue(2)：135-143,9.DOI:10.3879/j.issn.1000-0887.2011.02.002
通过求解输运方程计算壁面距离
Computations of Wall Distances by Solving a Transport Equation
摘要
Abstract
Motivated by the large expense to compute wall distances which still play a key role in modern turbulence modeling, the approach of solving partial differential equations is considered. An Euler-like transport equation was prposed based on Eikonal equation so that efficient algorithms and code components developed for solving transport equations such as Euler and Navier-Stokes can be reused. A detailed implementation of the transport equation in Cartesian Coordinates was provided based on code MI-CFD of BUAA. The transport equation was found to have robust and rapid convergence using implicit LUSGS time advancement and upwind spatial discretization. Geometric derivatives must also be upwind determined for accuracy assurance. Special treatments on initial and boundary conditions were discussed. This distance solving approach is successfully applied on several complex geometries with 1-1 blocking or overset grids.关键词
壁面距离/数值模拟/重叠网格分类
航空航天引用本文复制引用
徐晶磊,阎超,范晶晶..通过求解输运方程计算壁面距离[J].应用数学和力学,2011,32(2):135-143,9.基金项目
国家重点基础研究发展计划资助项目(2009CB724104) （2009CB724104）
中国博士后科学基金资助项目(20090450285) （20090450285）
