Computations of wall distances by solving a transport equation |
| |
Authors: | Jing-lei Xu Chao Yan Jing-jing Fan |
| |
Institution: | National Laboratory for Computational Fluid Dynamics, Beihang University, Beijing 100191, P. R. China |
| |
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 (MICFD) 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. |
| |
Keywords: | wall distance numerical simulation overset grid |
本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录! |