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A Filtering Technique for Solving the Advection Equation in Two-Phase Flow Problems

机译:求解两相流问题中对流方程的滤波技术

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摘要

The aim of this work is to develop a numerical strategy for the simulation of two-phase flow in the con- text of chemical engineering applications.The finite element method has been chosen because of its flexibility to deal with complex geometries.One of the key points of two-phase flow simulation is to determine precisely the position of the interface between the two phases,which is an unknown of the problem.In this case,the interface can be tracked by the advection of the so-called color function.It is well known that the solution of the advection equation by most numerical schemes,including the Streamline Upwind Petrov- Galerkin(SUPG)method,may exhibit spurious oscillations. This work proposes an approach to filter out these oscillations by means of a change of variable that is efficient for both steady state and transient cases. First,the filtering technique will be presented in detail.Then,it will be applied to two-dimensional benchmark problems,namely,the advection skew to the mesh and the Zalesak’s problems.
机译:这项工作的目的是为化学工程领域开发一种用于模拟两相流的数值策略。由于有限元方法具有处理复杂几何形状的灵活性,因此选择了有限元方法。两相流模拟的要点是精确确定两相之间的界面位置,这是一个未知的问题。在这种情况下,可以通过对流所谓的色彩函数来跟踪该界面。众所周知,大多数数值方案对流方程的求解,包括流线上风Petrov-Galerkin(SUPG)方法,可能会出现寄生振荡。这项工作提出了一种通过改变变量来滤除这些振荡的方法,该方法对于稳态和瞬态情况都是有效的。首先,将详细介绍滤波技术。然后,将其应用于二维基准问题,即网格的平流偏斜和Zalesak问题。

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  • 来源
  • 会议地点 Ottawa(CA);Ottawa(CA)
  • 作者单位

    Department of Chemical Engineering,Ecole Polytechnique de Montreal,Montreal,QC,H3C 3A7,Canada,Email:christophe.devals@polymtl.ca;

    Department of Chemical Engineering,Ecole Polytechnique de Montreal,Montreal,QC,H3C 3A7,Canada;

    Department of Chemical Engineering,Ecole Polytechnique de Montreal,Montreal,QC,H3C 3A7,Canada;

    Department of Chemical Engineering,Ecole Polytechnique de Montreal,Montreal,QC,H3C 3A7,Canada;

    Department of Chemical and Materials Engineering,University of Alberta,Edmonton,AL,T6G 2G6,Canada;

  • 会议组织
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 工程流体力学;
  • 关键词

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