A sharp interface finite volume method for variable density zero Mach number two-phase flow with surfactant-dependent surface tension

表面张力依赖的变密度零马赫数两相流的锐界面有限体积法

• 批准号: 167121235
• 负责人: Professor Dr.-Ing. Rupert Klein
• 金额: --
• 依托单位: Fachgebiet Numerische Mathematik und Wissenschaftliches Rechnen
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 财政年份: 2010
• 资助国家: 德国
• 起止时间: 2009-12-31 至 2016-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/167121235?language=en
• 关键词: sharp; interface; finite; volume; method

Many important industrial chemical processes and naturally occurring phenomena can be described by the equations for variable density zero Mach number two-phase flow with heat and mass transfer across an interface separating the two fluids. Some of the main challenges in modeling and simulating such flows result from discontinuous distributions of pressure, density, and concentrations, from large ratios of fluid properties, such as viscosity, diffusivity, or conductivity, across the phase boundaries, and from the necessity of solving species transport equations on the moving surfaces. This research project focuses on the proper design of a locally second order accurate finite volume method for zero Mach number two-phase flow with soluble surfactants and mass transfer across an immiscible interface. Based on our previous work we specifically address the following issues: i) design of a conservative sharp interface finite volume projection method on Cartesian grids with explicit representation of discontinuities, ii) development of a conservative finite volume discretisation of surface surfactant equations, and iii) implementation of an asymptotics based efficient solution strategy for the variable coefficient Poisson projection equation for interface problems with arbitrarily large ratio of the coefficients. The project contributes to the Priority Program’s goal of developing “numerical methods for the simulation of multiphase flow problems which resolve the local processes at the interface.”

许多重要的工业化学过程和自然发生的现象都可以用变密度零马赫数两相流方程来描述，两相流中有一个分离两种流体的界面，有热量和质量的传递。在建模和模拟这样的流动的主要挑战的一些结果从压力，密度和浓度的不连续分布，从流体性质的大比率，如粘度，扩散率，或电导率，跨越相边界，并从求解物种输运方程的必要性的移动表面。本研究计划的重点是适当设计的局部二阶精度有限体积法的零马赫数两相流可溶性表面活性剂和质量传递通过不混溶界面。基于我们以前的工作，我们具体解决以下问题：i）在笛卡尔网格上设计一种具有显式不连续表示的守恒的锐界面有限体积投影方法，ii）发展表面活性剂方程的守恒有限体积离散，以及iii）基于渐近性的变系数Poisson投影方程有效求解策略的实现系数的任意大的比率。该项目有助于实现优先计划的目标，即开发“解决界面局部过程的多相流问题模拟的数值方法”。