...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >A high-resolution Petrov-Galerkin method for the convection-diffusion-reaction problem. Part Ⅱ-A multidimensional extension
【24h】

A high-resolution Petrov-Galerkin method for the convection-diffusion-reaction problem. Part Ⅱ-A multidimensional extension

机译：A high-resolution Petrov-Galerkin method for the convection-diffusion-reaction problem. Part Ⅱ-A multidimensional extension

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相关主题

摘要

A multidimensional extension of the HRPG method (doi:10.1016/j.cma.2009.10.009) using the lowest order block finite elements is presented. First, we design a nondimensional element number that quantifies the characteristic layers which are found only in higher dimensions. This is done by matching the width of the characteristic layers to the width of the parabolic layers found for a fictitious ID reactiondiffusion problem. The nondimensional element number is then defined using this fictitious reaction coefficient, the diffusion coefficient and an appropriate element size. Next, we introduce anisotropic element length vectors 1' and the stabilization parameters α~i, β~i are calculated along these 1~i. Except for the modification to include the new dimensionless number that quantifies the characteristic layers, the definitions of α~i β~i are a direct extension of their counterparts in 1D. Using α~i, β~i and 1~i, objective characteristic tensors associated with the HRPG method are defined. The numerical artifacts across the characteristic layers are manifested as the Gibbs phenomenon. Hence, we treat them just like the artifacts formed across the parabolic layers in the reaction-dominant case. Several 2D examples are presented that support the design objective-stabilization with high-resolution.

著录项

获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号