粘性流体换热问题用直角坐标网格的贴体解法

采用直角坐标网格但通过在边界附近保留不规则控制体的非结构化直角坐标网格方法求解粘性不可压流体流动和换热问题.在边界附近切割单元的求解采用常规的方法处理,而不采用插值方法处理,并在同位网格上对控制方程组进行离散.因而该算法是贴体的,并可适用于解决复杂边界流动换热问题.通过对同轴环行空间和二维倾斜空腔内的对流换热问题的计算对该数值方法在传热问题中的应用进行验证.对比结果表明,计算结果与精确解和STAR-CD的结果在一定Re数和网格数时是很接近的,可以满足一定的精度要求,说明该数值计算方法可用于传热问题. 

Body fitted method with cartesian coordinates for solving viscous fluid flow and heat transfer problems

A body fitted unstructured numerical method which takes advantage of Cartesian coordinates and reserves irregular control volumes near boundaries was studied for solving incompressible viscous fluid flow and heat transfer problems. The conservation equations were solved in the cells that are intersected by the wall according to the traditional methods without interpolation and are discretized using collocated grids with all discreted dependent variables located at common nodes throughout domain. This scheme is body fitted method which is well suited to simulating fluid flow and heat transfer problems on general complex boundaries. To test the accuracy of this approach, it was applied to two benchmark cases: flow between two coaxial cylinders’ surfaces; flow in a 2-D inclined driven cavity. Agreement was found with analytical, numerical benchmark and STAR-CD results. All these show that this method is validated for fluid flow and heat transfer problems.