【摘要】 对不可压缩粘性层流建立了SU/PG有限元的Newton-Raphson同步迭代算法,完成了相应矩阵公式的推导;重新确定了SU/PG中的人工扩散因子;借助面向对象方法开发了相应的计算程序。通过充分发展管流的数值解与理论解的对比,表明本文算法的可行性;并完成了沿后台阶流动现象的数值模拟,得到了不同雷诺数下出口断面的速度分布。更多还原

【Abstract】 For incompressible viscous flow, the Newton-Raphson synchronous iteration method of SU/PG FEM was established, and the matrix formulations were derived in detail. A new algorithm was employed to determine the artificial diffusion factor in SU/PG. The object-oriented approach was intro-duced in program development. Via comparing the numeric results with theoretical results of the suffi-ciently developed tube flow, the proposed method was demonstrated. Finally, the numeric simulation of fluid flowing past backward-facing step was carried out and the horizontal velocity distribution at outlet under different Reynolds number was obtained.更多还原