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This paper presents an efficient moving problem with an optimal control constrained mesh method to solve a nonlinear singular condition. The physical problem is governed by a new model of turbulent flow in circular tubes proposed by Luo et al. using Prandtl＇s mixing-length theory. Our algorithm is formed by an outer iterative algorithm for handling the optimal control condition and an inner adaptive mesh redistribution algorithm for solving the singular governing equations. We discretize the nonlinear problem by using a upwinding approach, and the resulting nonlinear equations are solved by using the Newton- Raphson method. The mesh is generated and the grid points are moved by using the arc-length equidistribution principle. The numerical results demonstrate that proposed algorithm is effective in capturing the boundary layers associated with the turbulent model. 相似文献
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资金是企业的血脉,中小企业尤甚。
资金管理效率直接决定着中小企业的发展潜力、经营效率与风险．运用信息化软件产品进行科学、规范的资金管理的案例,给广大中小企业提供了可供借鉴的实践范本。 相似文献
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1 教材介绍
美国教材种类繁多,为使研究更具代表性,笔者选用由Paul W.Zitzewitz等人编写的[1](2005年版)作为研究范本.这部物理教材在美国占有接近50%的选用率①.我国教材笔者选用人教版<物理·必修1>(2006年版)作为研究范本.对这两种教材部分章节进行了认真比较. 相似文献
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