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首页> 外文期刊>Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology >Projection methods for the calculation of incompressible unsteady flows
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Projection methods for the calculation of incompressible unsteady flows

机译：计算不可压缩非恒定流的投影方法

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A general formula for the second-order projection method for solution of unsteady incompressible Navier-Stokes equations is presented. It includes the four- and three-step projection methods. Also, RKCN (Runge-Kutta/Crank-Nicholson) three-step and four-step projection methods are presented, in which the three-stage Runge-Kutta and semi-implicit Crank-Nicholson techniques are employed to update the convective and diffusion terms, respectively. The RKCN projection method is further simplified. The pressure Poisson equation (PPE) is solved only at the final substage for the simplified RKCN projection method, which greatly reduces the computation time. The high-order boundary conditions for the intermediate velocities have also been given for the four-step RKCN projection method and its simplified version. A 2-D vortex flow, a 2-D oscillating cavity flow, and a 3-D lid-driven cavity flow are simulated to validate the analysis. The projection method is also used to do the direct numerical simulation (DNS) of a fully developed channel flow. [References: 31]
机译：给出了求解非定常不可压缩Navier-Stokes方程的二阶投影方法的一般公式。它包括四步和三步投影方法。此外，还提出了RKCN（Runge-Kutta / Crank-Nicholson）三步和四步投影方法，其中采用了三阶段Runge-Kutta和半隐式Crank-Nicholson技术来更新对流和扩散项， 分别。 RKCN投影方法得到进一步简化。对于简化的RKCN投影方法，仅在最后一个子阶段求解压力泊松方程（PPE），从而大大减少了计算时间。还针对四步RKCN投影方法及其简化版本给出了中间速度的高阶边界条件。模拟了二维涡流，二维振荡腔流和3-D盖驱动腔流以验证分析。投影方法还用于进行完全展开的通道流的直接数值模拟（DNS）。 [参考：31]

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