使用GAO-YONG湍流方程组 对顶盖驱动方腔流的计算

运用SIMPLER方法、QUICK格式及交错网格技术求解GAO-YONG湍流方程组,对二维顶盖驱动方腔流进行数值模拟,得到方腔内的涡量分布和方腔中心水平剖线上的速度变化曲线,并与DNS(Directly Numerical Simulation)结果进行定性对比,有较好的一致性.结果表明,GAO-YONG湍流方程组中与湍流多尺度现象相对应的机械能方程对此湍流方程组能够合理地模拟出顶盖驱动方腔流中复杂的湍流粘性分布以及湍流能量逆转现象起到了关键作用.研究进一步证明了GAO-YONG湍流方程组能够得到复杂流动的真实粘性场.

Calculation of lid-driven cavity flow using GAO-YONG turbulence equations

A two-dimensional stationary incompressible lid-driven cavity flow was numerically simulated employing staggered grid arrangement, incompressible SIMPLER method and QUICK scheme to solve GAO-YONG turbulence equations. The vorticity contour in the cavity and the velocity changing curve of cavity's central horizontal section line were acquired and compared with directly numerical simulation(DNS) result qualitatively and the consistency was very good. It shows that the mechanical energy equation corresponding to the scales of nonlinearity in the turbulence equations is very important for the turbulence equations to reasonably simulate the complex distribution of eddy viscosity coefficients and the inversion phenomenon of turbulence energy in the lid-driven cavity flow. Farther the GAO-YONG turbulence equations being able to gain real viscosity field in complex flow was proved.