Dual variational principles for 3-D Navier-Stokes equations

摘要：

Just recently the exact variational principles (VP) of the full 3-D Navier-Stokes equations of viscous flow have been successfully established for the first time by the present author by means of a systematic reversed deduction method via the undetermined function. As a continuation and further development of that,a pair of new dual (reciprocal)VP is generated herein by means of the Friedrichs involutory transformation. These VP have the advantage over the previous ones that they possess apparent physical meaning of energy, providing a new rigorous theoretical basis for the finite element analysis of 3-D viscous flow.

关键词： Navier-Stokes equations variational principles viscous flow finite element methods fluid mechanics.

作者: Gao-Lian Liu

作者单位: Shanghai University, Institute of Mechanics Shanghai 200072, China

会议类型: 国际会议

会议名称: The Fifth International Conference on Fluid Mechanics(第五届国际流体力学会议)

会议地点: 上海

会议语种:英文

在线出版日期: 2007-08-15（万方平台首次上网日期，不代表论文的发表时间）