A Coupled Level Set-Moment of Fluid Method for Incompressible Two-Phase Flows

A Coupled Level Set-Moment of Fluid Method for Incompressible Two-Phase Flows
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DOI:
10.1007/s10915-012-9614-7
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发表时间:
2013-02-01
影响因子:
2.5
通讯作者:
Wang, Yaohong
Wang, Yaohong
中科院分区:
数学2区
文献类型:
--
作者:
Jemison, Matthew;Loch, Eva;Wang, Yaohong

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描述了一种计算不可压缩两相流解的水平集-流体矩耦合法。局部分段线性界面重建(CLSMOF重建)使用来自水平集函数、流体体积函数和参考质心的信息,为局部重建生成斜率和截距。水平集函数通过保持到CLSMOF分段线性重构界面的符号距离,与流体体积函数和参考质心耦合。动量方程中的非线性项使用Raessi和Pitsch最近开发的锐界面方法求解(年度研究简报,2009)。我们将Raessi和Pitsch的算法从交错网格方法修改为并置网格方法,并将他们对非线性项的处理与Kwatra等人开发的变密度、并置、压力投影算法结合起来。自然科学进展,2009(5):387 - 387。并置网格方法为块结构自适应网格细化(AMR)提供了方便。在块结构自适应网格上对气泡、射流、水滴和波浪进行了二维和三维数值模拟,以证明我们的新方法的能力。
A coupled level set and moment of fluid method (CLSMOF) is described for computing solutions to incompressible two-phase flows. The local piecewise linear interface reconstruction (the CLSMOF reconstruction) uses information from the level set function, volume of fluid function, and reference centroid, in order to produce a slope and an intercept for the local reconstruction. The level set function is coupled to the volume-of-fluid function and reference centroid by being maintained as the signed distance to the CLSMOF piecewise linear reconstructed interface.The nonlinear terms in the momentum equations are solved using the sharp interface approach recently developed by Raessi and Pitsch (Annual Research Brief, 2009). We have modified the algorithm of Raessi and Pitsch from a staggered grid method to a collocated grid method and we combine their treatment for the nonlinear terms with the variable density, collocated, pressure projection algorithm developed by Kwatra et al. (J. Comput. Phys. 228:4146-4161, 2009). A collocated grid method makes it convenient for using block structured adaptive mesh refinement (AMR) grids. Many 2D and 3D numerical simulations of bubbles, jets, drops, and waves on a block structured adaptive grid are presented in order to demonstrate the capabilities of our new method.