Approximate Riemann solver for compressible liquid vapor flow with phase transition and surface tension

2018 ◽  
Vol 169 ◽  
pp. 169-185 ◽  
Author(s):  
Stefan Fechter ◽  
Claus-Dieter Munz ◽  
Christian Rohde ◽  
Christoph Zeiler
Keyword(s):  
Phase Transition ◽  
Surface Tension ◽  
Compressible Liquid ◽  
Vapor Flow ◽  
Riemann Solver ◽  
Approximate Riemann Solver ◽  
Liquid Vapor

scholarly journals A multiscale method for compressible liquid-vapor flow with surface tension

2012 ◽  
Vol 38 ◽  
pp. 387-408 ◽  
Author(s):  
Felix Jaegle ◽  
Christian Rohde ◽  
Christoph Zeiler
Keyword(s):  
Surface Tension ◽  
Compressible Liquid ◽  
Multiscale Method ◽  
Vapor Flow ◽  
Liquid Vapor

scholarly journals Submersible Soft‐Robotic Platform for Noise‐Free Hovering Utilizing Liquid–Vapor Phase Transition

2021 ◽  
Vol 3 (1) ◽  
pp. 2170013
Author(s):  
Jie Han ◽  
Weitao Jiang ◽  
Hongjian Zhang ◽  
Biao Lei ◽  
Lanlan Wang ◽  
...  
Keyword(s):  
Phase Transition ◽  
Vapor Phase ◽  
Robotic Platform ◽  
Liquid Vapor

GLOBAL EXISTENCE FOR PHASE TRANSITION PROBLEMS VIA A VARIATIONAL SCHEME

2004 ◽  
Vol 01 (04) ◽  
pp. 747-768
Author(s):  
CHRISTIAN ROHDE ◽  
MAI DUC THANH
Keyword(s):  
Phase Transition ◽  
Surface Tension ◽  
Initial Data ◽  
Time Discretization ◽  
Approximate Solutions ◽  
Implicit Time ◽  
Time Step ◽  
Dynamical Phase Transition ◽  
Transition Dynamics ◽  
Variational Scheme

We construct approximate solutions of the initial value problem for dynamical phase transition problems via a variational scheme in one space dimension. First, we deal with a local model of phase transition dynamics which contains second and third order spatial derivatives modeling the effects of viscosity and surface tension. Assuming that the initial data are periodic, we prove the convergence of approximate solutions to a weak solution which satisfies the natural dissipation inequality. We note that this result still holds for non-periodic initial data. Second, we consider a model of phase transition dynamics with only Lipschitz continuous stress–strain function which contains a non-local convolution term to take account of surface tension. We also establish the existence of weak solutions. In both cases the proof relies on implicit time discretization and the analysis of a minimization problem at each time step.

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