摘要
利用连续投影思路,为NS方程的求解构造了一类压力和速度能同时达到高阶时间精度的投影格式,并给出统一的数学描述式。设置时间精度分别为二阶和三阶的两种投影算法,采用二维方腔驱动流算例验证了算法稳定性,采用Taylor涡列问题验证了算法的时间精度。分别用两种算法对低湍流度大气边界层进行了模拟,通过模拟结果的比较证明了提高算法时间精度对不可压流动的频谱特性计算有改善作用。
Using continuous thought, an improved projection method that is fully high-order accurate in time for solving Navier-Stokes equations was constructed. The uniform mathematical description of this method was attained. Two projection algorithms with fully second- and third-order time accuracy were picked out. Numerical experiments about a 2D cavity driven flow and a Taylor vortex array solution were performed to validate the robustness and accuracy of the two algorithms respectively. In addition, atmospheric boundary layer with low turbulence was simulated by using these two algorithms. The simulation results were compared to prove the influence of algorithm's time accuracy on the turbulence power spectrum of incompressible flow.
出处
《工程力学》
EI
CSCD
北大核心
2014年第11期79-85,共7页
Engineering Mechanics
基金
国家自然科学基金项目(90815021
51208035)
关键词
NS方程
不可压流动
连续投影法
时间精度
大气边界层
Navier-Stokes equations
incompressible flow
continuous projection method
time accuracy
atmospheric boundary layer
