Numerical experiments using a HLLC-type scheme with ALE formulation for compressible two-phase flows five-equation models with phase transition

2014 ◽  
Vol 94 ◽  
pp. 112-138 ◽  
Author(s):  
F. Daude ◽  
P. Galon ◽  
Z. Gao ◽  
E. Blaud
2019 ◽  
Vol 16 (04) ◽  
pp. 595-637
Author(s):  
Maren Hantke ◽  
Ferdinand Thein

Liquid–vapor flows with phase transitions have a wide range of applications. Isothermal two-phase flows described by a single set of isothermal Euler equations, where the mass transfer is modeled by a kinetic relation, have been investigated analytically in [M. Hantke, W. Dreyer and G. Warnecke, Exact solutions to the Riemann problem for compressible isothermal Euler equations for two-phase flows with and without phase transition, Quart. Appl. Math. 71(3) (2013) 509–540]. This work was restricted to liquid water and its vapor modeled by linear equations of state. The focus of this work lies on the generalization of the primary results to arbitrary substances, arbitrary equations of state and thus a more general kinetic relation. We prove existence and uniqueness results for Riemann problems. In particular, nucleation and cavitation are discussed.


2017 ◽  
Vol 150 ◽  
pp. 31-45 ◽  
Author(s):  
Alexandre Chiapolino ◽  
Pierre Boivin ◽  
Richard Saurel

2021 ◽  
Vol 371 ◽  
pp. 110954
Author(s):  
M. De Lorenzo ◽  
Ph. Lafon ◽  
M. Pelanti ◽  
A. Pantano ◽  
M. Di Matteo ◽  
...  

2017 ◽  
Vol 9 (5) ◽  
pp. 1111-1132 ◽  
Author(s):  
Jianyu Lin ◽  
Hang Ding ◽  
Xiyun Lu ◽  
Peng Wang

AbstractIn this article a comparison study of the numerical methods for compressible two-phase flows is presented. Although many numerical methods have been developed in recent years to deal with the jump conditions at the fluid-fluid interfaces in compressible multiphase flows, there is a lack of a detailed comparison of these methods. With this regard, the transport five equation model, the modified ghost fluid method and the cut-cell method are investigated here as the typical methods in this field. A variety of numerical experiments are conducted to examine their performance in simulating inviscid compressible two-phase flows. Numerical experiments include Richtmyer-Meshkov instability, interaction between a shock and a rectangle SF6 bubble, Rayleigh collapse of a cylindrical gas bubble in water and shock-induced bubble collapse, involving fluids with small or large density difference. Based on the numerical results, the performance of the method is assessed by the convergence order of the method with respect to interface position, mass conservation, interface resolution and computational efficiency.


2014 ◽  
Vol 48 (6) ◽  
pp. 1639-1679 ◽  
Author(s):  
Manuel Bernard ◽  
Stéphane Dellacherie ◽  
Gloria Faccanoni ◽  
Bérénice Grec ◽  
Yohan Penel

2019 ◽  
Vol 31 (9) ◽  
pp. 092112 ◽  
Author(s):  
Lun Sheng Pan ◽  
Jing Lou ◽  
Hong Ying Li ◽  
Chang Wei Kang

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