ON DERIVATION AND PHYSICAL INTERPRETATION OF LEVEL SET METHOD–BASED EQUATIONS FOR TWO-PHASE FLOW SIMULATIONS

Vinesh H. Gada; Atul Sharma

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ON DERIVATION AND PHYSICAL INTERPRETATION OF LEVEL SET METHOD–BASED EQUATIONS FOR TWO-PHASE FLOW SIMULATIONS

机译：相流模拟的基于水平集方法的方程的推导和物理解释

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The level set (LS) method is one of the most popular and recent methods for two-phase flow simulation. However, its origin and governing equations rely heavily on mathematical sources. The present work attempts mass and volume conservation law-based derivation of the LS advection equation and the continuity equation, respectively, for two-phase flow with phase change. Physical interpretation of the Heaviside function and the Dirac delta function, used in the LS method, is done here in a novel way and the resulting expressions are used in the derivations. The diffused interface, used in the LS method, is shown to introduce negligible error on a sufficiently fine grid.

机译：水平集（LS）方法是两相流模拟中最受欢迎的方法之一。但是，其起源和控制方程式严重依赖于数学来源。目前的工作分别针对具有相变的两相流，尝试基于质量守恒律和体积守恒律推导LS平流方程和连续性方程。 LS方法中使用的Heaviside函数和Dirac delta函数的物理解释在此处以新颖的方式完成，并将所得表达式用于推导中。 LS方法中使用的扩散界面显示出，在足够精细的网格上引入的误差可忽略不计。

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《Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology》 |2009年第4期|共16页
作者
Vinesh H. Gada; Atul Sharma;
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原文格式 PDF
正文语种 eng
中图分类热力工程、热机;
关键词
interpretation; simulation; derivations;

机译：解释;模拟;推导;

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专利

1. ON DERIVATION AND PHYSICAL INTERPRETATION OF LEVEL SET METHOD–BASED EQUATIONS FOR TWO-PHASE FLOW SIMULATIONS [J] . Vinesh H. Gada, Atul Sharma Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology . 2009,第3a4期

机译：相流模拟的基于水平集方法的方程的推导和物理解释
2. Parallelization methodology and performance study for level-set-method- based simulation of a 3-D transient two-phase flow [J] . Aggarwal V., Gada V.H., Sharma A. Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology . 2013,第1a6期

机译：基于水平集方法的3-D瞬态两相流并行化方法和性能研究
3. A coupled level set and volume of fluid method on unstructured grids for the direct numerical simulations of two-phase flows including phase change [J] . Nikhil Kumar Singh, B. Premachandran International Journal of Heat and Mass Transfer . 2018,第JULa期

机译：非结构网格上的液位和流体体积耦合方法，用于包括相变在内的两相流的直接数值模拟
4. Black-box Modeling and Optimal Control of a Two-Phase Flow by Using Navier-Stokes Equations and Level Set Methods [C] . A. Alessandri, P. Bagnerini, M. Gaggero, Annual American Control Conference . 2018

机译：利用Navier-Stokes方程和水平集方法对两相流进行黑匣子建模和最优控制
5. Level set based simulations of two-phase oil-water flows in pipes. [D] . Shim, Hyeseon. 2000

机译：基于水平集的管道中两相油水流的模拟。
6. Level Set method-based two-dimensional numerical model for simulation of nonuniform open-channel flow [O] . Rui Xu, Shihe Liu 2012

机译：基于水平集方法的二维数值模型对非均匀明渠水流的模拟
7. Calculation of interface curvatures with the level-set method for two-phase flow simulations and a second-order diffuse-domain method for elliptic problems in complex geometries [O] . Lervåg Karl Yngve 2013

机译：用于两相流模拟的水平集方法和复杂几何椭圆问题的二阶扩散域方法的界面曲率计算

ON DERIVATION AND PHYSICAL INTERPRETATION OF LEVEL SET METHOD–BASED EQUATIONS FOR TWO-PHASE FLOW SIMULATIONS

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