A numerical simulation for two-dimensional moving boundary problems with a mushy zone

1999 ◽  
Vol 23 (5-6) ◽  
pp. 440-447 ◽  
Author(s):  
T.-F. Cheng
Keyword(s):  
Numerical Simulation ◽  
Mushy Zone ◽  
Moving Boundary ◽  
Two Dimensional ◽  
Moving Boundary Problems ◽  
Boundary Problems

Fictitious domains and level sets for moving boundary problems. Applications to the numerical simulation of tumor growth

2011 ◽  
Vol 230 (4) ◽  
pp. 1335-1358 ◽  
Author(s):  
M. Carmen Calzada ◽  
Gema Camacho ◽  
Enrique Fernández-Cara ◽  
Mercedes Marín
Keyword(s):  
Numerical Simulation ◽  
Tumor Growth ◽  
Level Sets ◽  
Moving Boundary ◽  
Moving Boundary Problems ◽  
Boundary Problems

Modeling of Blast-Induced Craters by Multi-Material ALE Method

2013 ◽  
Vol 368-370 ◽  
pp. 771-774 ◽  
Author(s):  
Zao Han ◽  
Bo Liang Wang ◽  
Zhi Chao Zhang
Keyword(s):  
Numerical Simulation ◽  
Empirical Data ◽  
Moving Boundary ◽  
Euler Method ◽  
Moving Boundary Problems ◽  
Post Processing ◽  
Mesh Distortion ◽  
Boundary Problems ◽  
Ale Method ◽  
Eulerian Methods

Multi-material ALE method combines the advantages of Lagrangian and Eulerian methods, avoids mesh distortion of the Lagrangian method, and eliminates moving boundary problems of the Euler method. A numerical simulation of blast-induced craters in geotechnical medium was performed within the frame of LS-DYNA by multi-material ALE method. The simulated crater which coincides with the empirical data from CONWEP was observed in post processing by the flow of material. This demonstrates that the multi-material ALE method is an effective way to simulate blast-induced craters in geotechnical medium.

Theorem on the existence of solutions of quasi-static moving boundary problems

1995 ◽  
Vol 6 (5) ◽  
pp. 529-538 ◽  
Author(s):  
Bart Klein Obbink
Keyword(s):  
Initial Value Problem ◽  
Moving Boundary ◽  
Existence Of Solutions ◽  
Functional Relation ◽  
Local Solution ◽  
Two Dimensional ◽  
Moving Boundary Problems ◽  
Initial Value ◽  
Boundary Problems ◽  
Iteration Technique

Using the theory of conformal mappings, we show that two-dimensional quasi-static moving boundary problems can be described by a non-linear Löwner-Kufarev equation and a functional relation ℱ between the shape of the boundary and the velocity at the boundary. Together with the initial data, this leads to an initial value problem. Assuming that ℱ satisfies certain conditions, we prove a theorem stating that this initial value problem has a local solution in time. The proof is based on some straightforward estimates on solutions of Löwner-Kufarev equations and an iteration technique.

Moving boundary problems in the flow of liquid through porous media

1982 ◽  
Vol 24 (2) ◽  
pp. 171-193 ◽  
Author(s):  
A. A. Lacey
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Analytic Functions ◽  
Moving Boundary ◽  
Immiscible Fluids ◽  
The Other ◽  
Two Dimensional ◽  
Moving Boundary Problems ◽  
Boundary Problems ◽  
Time Singularities

AbstractThe movement of the interface between two immiscible fluids flowing through a porous medium is discussed. It is assumed that one of the fluids, which is a liquid, is much more viscous than the other. The problem is transformed by replacing the pressure with an integral of pressure with respect to time. Singularities of pressure and the transformed variable are seen to be related.Some two-dimensional problems may be solved by comparing the singularities of certain analytic functions, one of which is derived from the new variable. The implications of the approach of a singularity to the moving boundary are examined.

USNCCM-11: Computational fluid mechanics for free and moving boundary problems

2013 ◽  
Vol 87 ◽  
pp. 1
Author(s):  
Rekha R. Rao ◽  
S.A. Roberts ◽  
David R. Noble ◽  
Patrick D. Anderson ◽  
Jean-Francois Hétu
Keyword(s):  
Fluid Mechanics ◽  
Moving Boundary ◽  
Computational Fluid Mechanics ◽  
Moving Boundary Problems ◽  
Boundary Problems

Solving moving boundary problems with an adaptive moving grid method

1998 ◽  
Vol 53 (19) ◽  
pp. 3393-3411 ◽  
Author(s):  
Jörg Frauhammer ◽  
Harald Klein ◽  
Gerhart Eigenberger ◽  
Ulrich Nowak
Keyword(s):  
Moving Boundary ◽  
Grid Method ◽  
Moving Boundary Problems ◽  
Moving Grid ◽  
Boundary Problems
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