An implementation of the HLL Scheme on a hyperbolic two-fluid model for two-phase flow simulations

Youn-Gyu Jung; Moon-Sun Chung; Sung-Jae Yi; Keun-Shik Chang

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An implementation of the HLL Scheme on a hyperbolic two-fluid model for two-phase flow simulations

机译：用于双相流模拟的双曲双流模型上的HLL方案的实现

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摘要

In this manuscript, we discuss the implementation of an upwind method for a new two-dimensional two-fluid model by including the surface tension effect in the momentum equations. This model consists of a complete set of eight equations including two mass, four momentum, and two internal energy conservation equations, all with real eigenvalues. Based on this equation system, we first made a characteristic analysis for investigating mathematical properties. Next, we made a two-dimensional pilot code based on the HLL scheme to solve some benchmark problems in order to determine whether this model and numerical method can simulate a fundamental two-dimensional two-phase flow problem as well as one-dimensional problems.

机译：在此手稿中，我们通过将表面张力效应包括在动量方程中，讨论了一种用于新的二维两流体模型的迎风方法的实现。该模型由一整套八个方程组成，包括两个质量，四个动量和两个内部能量守恒方程，所有方程均具有真实特征值。在此方程组的基础上，我们首先进行了特性分析，以研究数学特性。接下来，我们基于HLL方案制作了二维导频代码，以解决一些基准问题，以确定此模型和数值方法是否可以模拟基本的二维两相流问题和一维问题。

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来源
《Applied Mathematical Modelling》 |2013年第4期|2588-2599|共12页
作者
Youn-Gyu Jung; Moon-Sun Chung; Sung-Jae Yi; Keun-Shik Chang;
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作者单位

Thermal Hydraulic Safety Research Division, Korea Atomic Energy Research Institute, Republic of Korea;

Hydmgen Energy R&D Center, Korea Institute of Energy Research, Republic of Korea;

Thermal Hydraulic Safety Research Division, Korea Atomic Energy Research Institute, Republic of Korea;

Aerospace Engineering Dept, Korea Advanced Institute of Science and Technology, Republic of Korea;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Two-phase flow; Two-fluid model; Interfacial pressure jump; Upwind scheme; Eigenvalues; Eigenvectors;

机译：两相流;二流体模型;界面压力跳跃;迎风方案;特征值;特征向量;

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专利

1. Numerical simulation of two-fluid two-phase flows by HLL scheme using an approximate Jacobian matrix [J] . Yeom GS, Chang KS Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology . 2006,第2期

机译：基于近似雅可比矩阵的HLL格式的两流体两相流数值模拟
2. Two-Dimensional Two-Fluid Two-Phase Flow Simulation Using an Approximate Jacobian Matrix for HLL Scheme [J] . Geum-Su Yeoma* amp, Keun-Shik Changb Numerical Heat Transfer, Part B: Fundamentals . 2010,第5期

机译：HLL方案的近似雅可比矩阵的二维两流体两相流模拟
3. TWO-DIMENSIONAL TWO-FLUID TWO-PHASE FLOW SIMULATION USING AN APPROXIMATE JACOBIAN MATRIX FOR HLL SCHEME [J] . Geum-Su Yeom, Keun-Shik Chang Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology . 2009,第5a6期

机译：使用HLC方案的近似Jacobian矩阵进行二维两相两相流模拟
4. HYPERBOLICITY ANALYSIS OF A ONE-DIMENSIONAL TWO-FLUID TWO-PHASE FLOW MODEL FOR STRATIFIED-FLOW PATTERN [C] . Carina N. Sondermann, Rodrigo A. C. Patricio, Aline B. Figueiredo, ASME international mechanical engineering congress and exposition . 2016

机译：一维二维流体两相流模型的双曲性分析
5. Two-phase two-fluid model solver based on a high-resolution total variation diminishing scheme [D] . Abu-Saleem, Rabie Abdullah. 2014

机译：基于高分辨率总变化递减方案的两相双流体模型求解器
6. Central Upwind Scheme for a Compressible Two-Phase Flow Model [O] . Munshoor Ahmed, M. Rehan Saleem, Saqib Zia, -1

机译：可压缩两相流模型的中央迎风方案
7. Effect of Compressibility on Hyperbolicity and Choke Flow Criterion of the Two-phase Two-fluid Model [O] . Singh, Suneet, Mousseau, Vincent A. 2008

机译：压缩性对两相流体模型双曲性和扼流流动判据的影响
8. Effect of Compressibility on Hyperbolicity and Choke Flow Criterion of the Two-phase Two-fluid Model [R] . 2008

机译：压缩性对两相流体模型双曲性和扼流流动判据的影响

An implementation of the HLL Scheme on a hyperbolic two-fluid model for two-phase flow simulations

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