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非正交曲线坐标系下的梯形物体导热过程温度场的数值计算

The computation of temperature field under nonorthogonal curvilinear coordinate systems
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摘要 利用生成贴体坐标的代数法将一梯形区域从物理平面转化到计算平面,将物理区域中的边界条件向计算区域进行了一一对应转换.运用贴体坐标转换方程对其温度场控制方程进行离散和求解,生成了梯形区域物理平面的贴体网格,同时应用非正交曲线坐标系对任一角度的梯形区域的温度场进行模拟计算.并在同一条件下与正交坐标系所模拟的温度场进行比较,说明了非正交曲线坐标方法的正确性和可行性. By using the algebra method of building body-fitted coordinate, a trapeziform region was transformed from physical domain to conputational domain, and the boundary conditions were also transformed from physical domain to computational domain accordingly. The body-fitted transformation equation was used to disperse and compute the dominate equation of temperature filed, producing the body-fitted grids of the physical domain of the trapeziform region. Simultaneously, it was applied in nonorthogonal curvilinear coordinate systems to simulate and compute the temperature field by orthogonal curvillnear coordinate systems under the same conditions. So the validity and feaslbility of nonorthogonal curvilinear coordinate methods were illuminated.
出处 《包头钢铁学院学报》 2005年第2期103-106,共4页 Journal of Baotou University of Iron and Steel Technology
基金 国家自然科学基金 上海宝钢集团公司联合资助项目(50474082)
关键词 非正交 曲线坐标 温度场 nonorthogonal curvilinear coordinate temperature field
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