A numerical method for phase-change problems with convection and diffusion

The conservation element and solution element (CE/SE) method, an accurate and efficient explicit numerical method for resolving moving discontinuities in fluid mechanics problems, is used to solve three-dimensional phase-change problems. Several isothermal phase-change cases are studied and comparisons are made to existing analytical solutions. The CE/SE method is found to be accurate, robust, and efficient for the numerical modeling of phase-change problems.

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NUMERICAL METHOD FOR HEAT TRANSFER, FLUID FLOW, AND STRESS ANALYSIS IN PHASE-CHANGE PROBLEMS

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790190054021 ◽

2002 ◽

Vol 42 (5) ◽

pp. 437-459 ◽

Cited By ~ 28

Author(s):

A. Teskeredžić ◽

I. Demirdžić ◽

S. Muzaferija

Keyword(s):

Heat Transfer ◽

Fluid Flow ◽

Phase Change ◽

Stress Analysis ◽

Numerical Method ◽

Heat Transfer Fluid

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A numerical method for phase-change problems

International Journal of Heat and Mass Transfer ◽

10.1016/0017-9310(90)90206-a ◽

1990 ◽

Vol 33 (12) ◽

pp. 2721-2734 ◽

Cited By ~ 33

Author(s):

Charn-Jung Kim ◽

Massoud Kaviany

Keyword(s):

Phase Change ◽

Numerical Method

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Application of the Conservation Element and Solution Element Method in Numerical Modeling of Three-Dimensional Heat Conduction With Melting and/or Freezing

Heat Transfer: Volume 2 ◽

10.1115/ht2003-47194 ◽

2003 ◽

Author(s):

Anahita Ayasoufi ◽

Theo G. Keith

Keyword(s):

Numerical Modeling ◽

Heat Conduction ◽

Fluid Mechanics ◽

Phase Change ◽

Numerical Method ◽

Analytical Solutions ◽

Three Dimensional ◽

Solution Element ◽

Explicit Numerical Method ◽

Element Method

The conservation element and solution element (CE/SE) method, an accurate and efficient explicit numerical method for resolving moving discontinuities in fluid mechanics problems, is used to solve three-dimensional phase change problems. Several isothermal phase change cases are studied and comparisons are made to existing analytical solutions. The CE/SE method is found to be accurate, robust and efficient for the numerical modeling of phase change problems.

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NUMERICAL METHOD FOR ONE-DIMENSIONAL PHASE CHANGE PROBLEMS IN FINITE REGIONS

Numerical Heat Transfer ◽

10.1080/01495728308963077 ◽

1983 ◽

Vol 6 (1) ◽

pp. 103-114 ◽

Cited By ~ 1

Author(s):

P. Ramakrishna Rao ◽

K M. K. Sastri

Keyword(s):

Phase Change ◽

Numerical Method ◽

One Dimensional

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Application of AUSM Schemes to Multi-Dimensional Two-Phase Flow Problems

Volume 2: Symposia, Parts A, B, and C ◽

10.1115/fedsm2003-45020 ◽

2003 ◽

Author(s):

Jose´ R. Garci´a-Cascales ◽

Henri Paille`re

Keyword(s):

Experimental Data ◽

Phase Change ◽

Numerical Method ◽

Two Phase Flow ◽

Equations Of State ◽

System Of Equations ◽

Phase Flow ◽

Two Phase ◽

Flow Problems ◽

Future Work

In this paper we study the extension of AUSM schemes to multi-dimensional two-phase flow problems with phase change. We present the system of equations characterizing these problems, the closure relationships and the equations of state to close the system. We present some of the most important characteristics of the numerical method used in this work, discribing how primitive variables are determined from conserved variables. Numerical results, corresponding to a fast depressurization benchmark, are included and compared with some experimental data. Conclusions are then drawn and future work briefly described.

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Numerical Model of Time-Dependent Gas Flows Through Bed of Granular Phase Change Material

International Journal of Computational Methods ◽

10.1142/s0219876219500105 ◽

2019 ◽

Vol 17 (06) ◽

pp. 1950010 ◽

Cited By ~ 4

Author(s):

Nickolay A. Lutsenko ◽

Sergey S. Fetsov

Keyword(s):

Mathematical Model ◽

Energy Storage ◽

Phase Change ◽

Numerical Method ◽

Phase Change Material ◽

Time Dependent ◽

Finite Difference Schemes ◽

Gas Flows ◽

Calculation Results ◽

Change Material

A novel mathematical model and original numerical method for investigating time-dependent gas flows through a bed of granular phase change material (PCM) are proposed and described in detail. Such material is modeled as a porous medium, and continua mechanics method are used for constructing the mathematical model. The numerical method is based on a combination of explicit and implicit finite-difference schemes. Comparison of calculation results with known experimental data demonstrates a very good coincidence. The results of the study can be applied in modeling the thermal energy storage with granular PCM in advanced adiabatic compressed air energy storage and other heat storage devices.

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