作　　者： ; ;

机构地区： 大连理工大学土木工程学院工程力学研究所

出　　处： 《水动力学研究与进展（A辑）》 1991年第A12期95-99,共5页

摘　　要： 本文提出了求解N-S方程及对流传热问题的二阶时间分裂法,就对应的时间分裂法的边界条件处理做了合理的数学描述。对时间项采用二阶精度的显式处理,加大了时间步长,节省了计算时间,而计算精度也有所增加。对流项采用迎风差分格式,其余的计算均采用四边形单元的有限元法,适应了高Reynolds数及高Raylaigh数的要求,对复杂流动域具有很灵活的适应性。通过对高Reynolds数的方腔拖带流及高Raylaigh数的方腔自然对流的算例计算,表明了本文方法的可靠性及有效性。 In this paper, authors developed a second order fractional step method for the solution of N-S equation and heat transfer problems as well as outlining the reasonable ma thematic description of boundary condition treated in this method. The time term is discretizated by using second accurate explicit formula so that time step length is expanded, computational time is saved and numerical accuracy is increased correspondingly. The upwind difference method is used in convective term and the finite element method is used in other term in order to simulate the flow at high Reynolds number and high Rayleigh number. The numerical results for the forced convective flow and the free convective flow in square cavity demonstrate that the present methods is very effective and reliable.

关 键 词： 二阶时间分裂 方程 对流传热

领　　域： [理学] [理学]