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研究了一种边界非协调的数值方法。该方法的提出是为了能够方便的求解复杂的运动边界绕流问题。空间上采用Galerkin有限体积空间离散格式。数值离散中,网格点分为内部计算点、IB点和外点三种类型。其中临近物面的IB点在嵌入物面边界条件时起到了作用,其流动变量值则是通过流场内解的线性插值获得。时间推进上采用结合人工压缩项的双时间步推进格式。静止和振荡圆柱不可压绕流的数值实验初步验证了本文方法的可靠性和准确性。
A nonconforming numerical method is studied. This method is proposed in order to solve complex flow boundary problems easily. Spatially Galerkin finite volume spatial discrete format. Numerical discretization, the grid points are divided into internal calculation point, IB point and outside the three types. The IB point of the adjacent object surface plays an important role in the boundary condition of the embedding surface, and the flow variable value is obtained by linear interpolation of the solution in the flow field. Time to promote the use of a combination of artificial compression of the two-time step-by-step format. The numerical experiments of stationary and oscillating cylindrical incompressible flows preliminarily verify the reliability and accuracy of the proposed method.