Numerical solution of the incompressible Navier-Stokes equations by a three-level finite element method

机译：三级有限元法求解不可压缩的Navier-Stokes方程的数值解

获取原文

获取原文并翻译 | 示例

页面导航

摘要
著录项
相似文献
相关主题

摘要

This paper describes a three-level finite element method for solving the instationary incompressible Navier-Stokes equations. Separating large resolved scales, small resolved scales and unresolved scales enables us to deal with each of these scale groups differently. Whereas the computation of the large scales is performed using a standard Galerkin method, the small scales are resolved by approximate residual-free bubbles exploiting an elementwise submesh with respect to the original discretization. The unresolved scales are merely regarded in their dissipative effect on the small scales. A dynamic modeling process for this making use of an elementwise sub-submesh slightly finer than the submesh is incorporated as level 3 of the method. Currently, applications of this method to the numerical simulation of turbulent flows are underway.

机译：本文介绍了一种用于求解平稳不可压缩Navier-Stokes方程的三级有限元方法。将较大的可分辨比例尺，较小的可分辨比例尺和未分辨的比例尺分开，可以使我们以不同方式处理这些比例尺组。大尺度的计算是使用标准的Galerkin方法执行的，而小尺度则是通过利用相对于原始离散化的元素子网格通过近似无残差的气泡来解决的。尚未解决的规模仅被视为对小规模的耗散效应。为此，使用了一个比该子网格稍精细的元素化子网格的动态建模过程，作为该方法的级别3。目前，该方法正在应用于湍流的数值模拟。

著录项

来源
《Massachusetts Institute of Technology(MIT) Conference on Computational Fluid and Solid Mechanics 2003 v.1; 20030617-20030620; Cambridge,MA; US》|2003年|P.915-918|共4页
会议地点 Boston MA(US)
作者
Volker Gravemeier; Wolfgang A. Wall; Ekkehard Ramm;
展开▼
作者单位

Institute of Structural Mechanics, University of Stuttgart, Pfaffenwaldring 7, D-70550 Stuttgart, Germany;

展开▼
会议组织
原文格式 PDF
正文语种 eng
中图分类固体与流体的冲击;
关键词
incompressible viscous flow; three-level finite element method; variational multiscale method; residual-free bubbles; subgrid viscosity; dynamic modeling;

机译：不可压缩黏性流;三级有限元法;变分多尺度法;无残留气泡;亚网格黏度;动力学建模;

相似文献

外文文献
中文文献
专利

1. A three-level finite element method for the instationary incompressible Navier-Stokes equations [J] . Volker Gravemeier, Wolfgang A. Wall, Ekkehard Ramm Computer Methods in Applied Mechanics and Engineering . 2004,第15a16期

机译：平稳不可压缩Navier-Stokes方程的三级有限元方法
2. Numerical solution of the time-dependent incompressible Navier-Stokes equations by piecewise linear finite elements [J] . Ghadi F, Ruas V, Wakrim M Journal of Computational and Applied Mathematics . 2008,第2期

机译：基于时间的不可压缩Navier-Stokes方程的分段线性有限元数值解
3. ON BOUNDARY TREATMENT FOR THE NUMERICAL SOLUTION OF THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FINITE DIFFERENCE METHODS [J] . L.C. Huang Journal of Computational Mathematics . 1996,第2期

机译：不可微Navier-Stokes方程数值解的边界差分有限差分处理
4. Numerical solution of the incompressible Navier-Stokes equations by a three-level finite element method [C] . Volker Gravemeier, Wolfgang A. Wall, Ekkehard Ramm MIT conference on computational fluid and solid mechanics . 2003

机译：三级有限元法通过三级有限元法的不可压缩Navier-Stokes方程的数值解
5. Numerical solutions of unsteady incompressible Navier-Stokes equations using an explicit finite analytic scheme. [D] . Dai, Weizhong. 1994

机译：使用显式有限解析方案的非定常不可压缩Navier-Stokes方程的数值解。
6. A Numerical Method for Solving the 3D Unsteady Incompressible Navier-Stokes Equations in Curvilinear Domains with Complex Immersed Boundaries [O] . Liang Ge, Fotis Sotiropoulos -1

机译：具有复杂浸入边界的曲线域中求解3D非稳态不可压缩Navier-Stokes方程的数值方法
7. Numerical Solutions of Incompressible Navier-Stokes Equations Using Non-staggered Finite Difference Method. [O] . Hidetoshi NISHIDA 1996

机译：使用非交错有限差分法的不可压缩Navier-Stokes方程的数值解。
8. Solution of the Time-Dependent Incompressible Navier-Stokes Equations Via a Penalty Galerkin Finite Element Method [R] . Sani, R. L., Eaton, B. E., Gresho, P. M., 1981

机译：用惩罚Galerkin有限元法求解时间不可压缩Navier-stokes方程

Numerical solution of the incompressible Navier-Stokes equations by a three-level finite element method

摘要

著录项

相似文献

相关主题

期刊订阅