浸没边界投影方法研究
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摘要
本文提出一种改进的基于原始变量的浸没边界投影方法,其中压力和动量力分别作为拉格朗日算子来满足流场的不可压条件和浸没边界处的不可滑移条件。相较于原始的浸没边界投影方法,我们采用两步近似分解,实现了压力、动量力与速度之间的解耦求解。这种方法不仅能大大提高计算效率,同时只需在原有程序的基础上做小幅改动,成本较低,时间和空间精度均介于一阶和二阶之间。利用一些典型的二维和三维流动问题对本方法进行了验证,并通过三维蜻蜓模型在流场中飞行的算例验证了本方法在模拟实际复杂流动问题方面的能力。
引文
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2 R.Mittal,G.Iaccarino,Immersed boundary methods,Annual Review of Fluid Mechanics 37(2005)239-261
3 S.Fotis,X.-L.Yang,Immersed boundary methods for simulating fluid-structure interaction,Progress in Aerospace Sciences 65(2014)1-21
4 K.Taira&T.Colonius,The immersed boundary method:A projection approach,Journal of Computational Physics 225(2007)2118-2137
5 K.Kim,S.-J.Baek and H.J.Sung,An implicit velocity decoupling procedure for the incompressible Navier-Stokes equations.International Journal for Numerical Methods in Fluids 38(2002)125-138
6 Li R Y,Xie C M,Huang W X,et al.An efficient immersed boundary projection method for flow over complex/moving boundaries[J].Computers&Fluids,2016,140:122-135
2 R.Mittal,G.Iaccarino,Immersed boundary methods,Annual Review of Fluid Mechanics 37(2005)239-261
3 S.Fotis,X.-L.Yang,Immersed boundary methods for simulating fluid-structure interaction,Progress in Aerospace Sciences 65(2014)1-21
4 K.Taira&T.Colonius,The immersed boundary method:A projection approach,Journal of Computational Physics 225(2007)2118-2137
5 K.Kim,S.-J.Baek and H.J.Sung,An implicit velocity decoupling procedure for the incompressible Navier-Stokes equations.International Journal for Numerical Methods in Fluids 38(2002)125-138
6 Li R Y,Xie C M,Huang W X,et al.An efficient immersed boundary projection method for flow over complex/moving boundaries[J].Computers&Fluids,2016,140:122-135