| 高阶多维半离散中心迎风格式及其应用 |
| |
| 引用本文： | 蔡力,封建湖,谢文贤,周军.高阶多维半离散中心迎风格式及其应用[J].应用力学学报,2006,23(1):90-95. |
| |
| 作者姓名： | 蔡力 封建湖 谢文贤 周军 |
| |
| 作者单位： | 1. 西北工业大学,西北 710072
2. 长安大学,西安,710064 |
| |
| 摘 要： | 提出了求解多维对流-扩散方程的四阶半离散中心迎风格式。该格式以中心加权基本无振荡(CWENO)重构为基础,同时考虑到在Riemann扇内波传播的局部速度,从而更加准确地估计出了局部Riemann扇的宽度,最终既回避了网格的交错,又降低了格式的数值粘性,建立了介于迎风格式和中心格式之间的半离散中心迎风格式。本文还将该四阶半离散中心迎风格式与涡度-流函数方法相结合,有效地求解了二维不可压Euler方程组和Navier-Stokes方程组。
|
| 关 键 词： | 中心加权基本无振荡格式 半离散中心迎风格式 对流-扩散方程 不可压Euler方程组 不可压Navier-Stokes方程组 |
| 文章编号： | 1000-4939（2006）01-0090-06 |
| 收稿时间： | 2004-04-01 |
| 修稿时间： | 2004-04-012004-08-06 |
High Order Semi-discrete Multidimensional Central-Upwind Scheme with Applications |
| |
| Cai Li,Feng Jianhu,Xie Wenxian,Zhou Jun.High Order Semi-discrete Multidimensional Central-Upwind Scheme with Applications[J].Chinese Journal of Applied Mechanics,2006,23(1):90-95. |
| |
| Authors: | Cai Li Feng Jianhu Xie Wenxian Zhou Jun |
| |
| Abstract: | A fourth-order,semi-discrete central-upwind scheme for multidimensional convection-diffusion equation is presented,where the local speed of wave propagation in the Riemann fans is considered based on a central weighted essentially nonoscillatory(CWENO) reconstruction,and much lower numerical viscosity is encountered and the staggering between two grids is avoided,which is regarded as a semi-discrete central-upwind schem situated between upwind scheme and central scheme.Combining the semi-discrete central-upwind scheme with the Vorticity-Stream method,2D incompressible Euler and Navier-Stokes equations are solved effectively. |
| |
| Keywords: | central weighted essentially nonoscillatory scheme semi-discrete central-upwind scheme convection-diffusion equation incompressible euler equations incompressible navier-stokes equations |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
