scholarly journals Optimal Control of the Classical Two-Phase Stefan Problem in Level Set Formulation

2011 ◽  
Vol 33 (1) ◽  
pp. 342-363 ◽  
Author(s):  
Martin K. Bernauer ◽  
Roland Herzog
Keyword(s):  
Optimal Control ◽  
Level Set ◽  
Stefan Problem ◽  
Two Phase ◽  
Level Set Formulation

Optimal control of the free boundary in a two-phase Stefan problem

2007 ◽  
Vol 223 (2) ◽  
pp. 657-684 ◽  
Author(s):  
Michael Hinze ◽  
Stefan Ziegenbalg
Keyword(s):  
Optimal Control ◽  
Free Boundary ◽  
Stefan Problem ◽  
Two Phase

Implementation of a Level Set Interface Tracking Method in the FIDAP and CFX-4 Codes

2004 ◽  
Author(s):  
Sergey V. Shepel ◽  
Brian L. Smith ◽  
Samuel Paolucci
Keyword(s):  
Level Set ◽  
Gaseous Phase ◽  
Viscosity Ratio ◽  
Density Ratio ◽  
Three Dimensional ◽  
Interface Tracking ◽  
Two Phase ◽  
Computational Fluid Dynamics Cfd ◽  
Liquid Flows ◽  
Level Set Formulation

A Streamline-Upwind/Petrov-Galerkin (SUPG) Finite Element (FE) Level Set method is presented, which may be used for solving problems involving incompressible two-phase flow with moving inter-phase boundaries. The method is three-dimensional, and can be used on both structured and unstructured grids. Two formulations are given. The first considers the coupled motion of both phases, and is implemented in the framework of the commercial Computational Fluid Dynamics (CFD) code CFX-4. The second can be applied for gas-liquid flows when effects of the gaseous phase on the motion of the liquid phase are negligible; consequently, the gaseous phase is removed from consideration. This Level Set formulation is implemented in the commercial CFD code FIDAP. The resulting Level Set formulations are tested on sample problems involving two-phase flows with density ratio of the order of 103 and viscosity ratio as high as 105. The numerical results are compared against experimental data.

Black-Box Modeling and Optimal Control of a Two-Phase Flow Using Level Set Methods

2021 ◽  
pp. 1-15
Author(s):  
Angelo Alessandri ◽  
Patrizia Bagnerini ◽  
Mauro Gaggero ◽  
Luca Mantelli ◽  
Vincenzo Santamaria ◽  
...  
Keyword(s):  
Optimal Control ◽  
Level Set ◽  
Two Phase Flow ◽  
Level Set Methods ◽  
Black Box ◽  
Phase Flow ◽  
Two Phase

Two-phase flow stability analysis using a level set approach

2017 ◽  
Author(s):  
Mamta Raju Jotkar ◽  
Daniel Rodriguez ◽  
Bruno Marins Soares
Keyword(s):  
Stability Analysis ◽  
Level Set ◽  
Two Phase Flow ◽  
Flow Stability ◽  
Phase Flow ◽  
Two Phase ◽  
Level Set Approach
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