A Simple Numerical Method for Solving an Incompressible Two-Fluid Model in a General Curvilinear Coordinate System

1995 ◽  
pp. 241-252 ◽  
Author(s):  
A. Tomiyama ◽  
T. Matsuoka ◽  
T. Fukuda ◽  
T. Sakaguchi
Keyword(s):  
Coordinate System ◽  
Numerical Method ◽  
Fluid Model ◽  
Curvilinear Coordinate System ◽  
Curvilinear Coordinate ◽  
Two Fluid Model ◽  
Two Fluid

An Upwind Numerical Method for a Hyperbolic One-Dimensional Two-Fluid Model

2011 ◽  
Author(s):  
Youn-Gyu Jung ◽  
Moon-Sun Chung ◽  
Sung-Jae Yi
Keyword(s):  
Numerical Method ◽  
Fluid Model ◽  
Equation System ◽  
Benchmark Problems ◽  
Two Phase ◽  
One Dimensional ◽  
Flow Problems ◽  
Complete Set ◽  
Two Fluid Model ◽  
Two Fluid

This study discusses on the implementation of an upwind method for a one-dimensional two-fluid model including the surface tension effect in the momentum equations. This model consists of a complete set of six equations including two-mass, two-momentum, and two-internal energy conservation equations having all real eigenvalues. Based on this equation system with upwind numerical method, the present authors first make a pilot code and then solve some benchmark problems to verify whether this model and numerical method is able to properly solve some fundamental one-dimensional two-phase flow problems or not.

scholarly journals BFC Method For Prediction of Transient Head on Seepage Path

2010 ◽  
Vol 1 (2) ◽  
pp. 824
Author(s):  
Sherly Hartono
Keyword(s):  
Coordinate System ◽  
Numerical Method ◽  
Water Level ◽  
Curvilinear Coordinate System ◽  
Levee Failure ◽  
Curvilinear Coordinate

Seepage causes weakening of levees and can cause levee failure or overtopping due to levee settlement. A numerical method, called the boundary fitted coordinate (BFC) method, was developed to determine seepage through a levee and the transient head on the seepage path due to the changing water level during a flood. The BFC transforms the physical coordinate system into a computational curvilinear coordinate system. The grid generated in this method accurately represents the boundary of the system regardless of its complexity. 

A Numerical Method for Gas-Particle Flows With Accumulation

2006 ◽  
Author(s):  
Xiang Zhao ◽  
Sijun Zhang
Keyword(s):  
Mathematical Model ◽  
Numerical Modelling ◽  
Numerical Method ◽  
Fluid Model ◽  
Particle Flow ◽  
Flow Conditions ◽  
Accumulation Zone ◽  
Particle Flows ◽  
Two Fluid Model ◽  
Two Fluid

A mathematical model is proposed to describe the gas-particle flow in a bed packed with particles. The model is in essence the same as the two fluid model developed on the basis of the space-averaged theorem but extended to consider the interactions among the gas, powder and packed particles and the static and dynamic holdups of powder. In particular, a method is proposed to determine the boundary between powder mobile and non-mobile zones, i.e. the profile of powder accumulation zone. The validity of the numerical modelling is examined by comparing the predicted and measured distributions of powder accumulation under various flow conditions.

On the Implementation of Computational Methods for a Hyperbolic Two-Fluid Model

2012 ◽  
Author(s):  
Moon-Sun Chung ◽  
Youn-Gyu Jung ◽  
Sung-Jae Yi
Keyword(s):  
Numerical Method ◽  
Fluid Model ◽  
Computer Code ◽  
Equation System ◽  
Benchmark Problems ◽  
Surface Tension Effect ◽  
Two Phase ◽  
Complete Set ◽  
Two Fluid Model ◽  
Two Fluid

In this study, we focused on the implementation of numerical methods for a 2-fluid system including the surface tension effect in the momentum equations. This model consists of a complete set of 8 equations including 2-mass, 4-momentum, and 2-internal energy conservations having all real eigenvalues. Based on this equation system with upwind numerical method, we first make a pilot 2-dimensional computer code and then solve some benchmark problems in order to check whether this model and numerical method is able to properly analyze some fundamental two-phase flow systems or not.

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