Compressive advection and multi-component methods for interface-capturing
Compressive advection and multi-component methods for interface-capturing
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DOI：
10.1002/fld.4078
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发表时间：
2016-02-10
影响因子：
1.8
通讯作者：
Matar, Omar K.
中科院分区：
文献类型：
--
作者：
Pavlidis, Dimitrios;Gomes, Jefferson L. M. A.;Matar, Omar K.
本文发展了多相流中界面捕捉的方法。这些方法的主要创新之处如下：（a）将界面结构嵌入连续性方程的多分量建模;（B）一族新的三角形/四面体有限元，特别是P（1）DG-P-2（元件之间的线性间断速度和二次连续压力）;（c）基于压缩控制体积平流方法和高阶有限元插值方法的界面捕获方案;（d）允许使用相对较大的时间步长的时间步进方法;以及（e）应用各向异性网格自适应性，以将数值分辨率集中在界面和其他重要动态领域。这种建模方法适用于一系列的纯平流问题的接口，以及模拟的标准计算流体动力学基准测试情况下的崩溃水柱重力（二维和三维）和晃荡的水在坦克。另外两个测试案例进行，以证明许多材料和压缩性建模能力的方法。在粗糙的非结构网格上进行数值模拟，以证明本文所述的方法在多相流中捕获复杂动力学的潜力。版权所有（c）2015约翰威利父子有限公司
This paper develops methods for interface-capturing in multiphase flows. The main novelties of these methods are as follows: (a) multi-component modelling that embeds interface structures into the continuity equation; (b) a new family of triangle/tetrahedron finite elements, in particular, the P(1)DG-P-2(linear discontinuous between elements velocity and quadratic continuous pressure); (c) an interface-capturing scheme based on compressive control volume advection methods and high-order finite element interpolation methods; (d) a time stepping method that allows use of relatively large time step sizes; and (e) application of anisotropic mesh adaptivity to focus the numerical resolution around the interfaces and other areas of important dynamics. This modelling approach is applied to a series of pure advection problems with interfaces as well as to the simulation of the standard computational fluid dynamics benchmark test cases of a collapsing water column under gravitational forces (in two and three dimensions) and sloshing water in a tank. Two more test cases are undertaken in order to demonstrate the many-material and compressibility modelling capabilities of the approach. Numerical simulations are performed on coarse unstructured meshes to demonstrate the potential of the methods described here to capture complex dynamics in multiphase flows. Copyright (c) 2015 John Wiley & Sons, Ltd.