Based on Jameson finite-volume method, a new numerical method simulating incompressible flow is created. Non-linear momentum equation is solved using four steps Runge-Kutta time stepping scheme. Good convergence of Non-linear quality has been full used. The pressure equation that solves coupled program of pressure and velocity is deducted from the continuity equation. Finally,this method is used to calculate 2-D laminar boundary layer, 2-D lid-driven cavity flow and 2-D diffuser turbulent flows using B-L turbulence model based on body fitted coordinate and appositional grids. Numerical simulation is compared and analyzed with the theoretical value, benchmark and experiment data. The results show that this numerical simulation method has strong capability to compute incompressible flow and advantage to program easily and compute efficiently.%在Jameson有限体积法的基础上发展了一种模拟不可压流动的数值方法.该算法用四步Runge-Kutta时间推进法直接求解非线性的动量方程,充分利用了良好的非线性收敛特性,并从连续方程出发推导了求解压力的方程,解决了压力与速度的耦合问题.最后用该方法在同位网格上,对二维平板边界层流、二维顶盖驱动方腔层流及二维扩压器管道湍流进行了数值模拟.计算结果与理论值、标准解及试验数据进行了比较分析,从而证实了该方法对模拟不可压流动的适用性,并显示出了编程简单、易于推广、计算效率高等优点.
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