Free surface tracking with polynomial reconstruction and error correction

2008 ◽  
Vol 58 (11) ◽  
pp. 1237-1255
Author(s):  
Hyoseob Kim ◽  
Byung Soon Jung ◽  
Kevin Hall
Keyword(s):  
Free Surface ◽  
Error Correction ◽  
Surface Tracking ◽  
Polynomial Reconstruction

GPU accelerated grid-free surface tracking

2016 ◽  
Vol 57 ◽  
pp. 1-11 ◽  
Author(s):  
Nuttapong Chentanez ◽  
Matthias Müller ◽  
Miles Macklin
Keyword(s):  
Free Surface ◽  
Surface Tracking

A Numerical Study on the Entry Problem of an Elastic Body Using Level Set Method and Combined Formulation

2011 ◽  
Author(s):  
Hyoung Gwon Choi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Free Surface ◽  
Elastic Body ◽  
Level Set Method ◽  
Level Set ◽  
Mixed Finite Element ◽  
Element Formulation ◽  
Surface Tracking ◽  
Element Method

A finite element method based on level set and combined formulation was studied for the analysis of entry problem of an elastic body. Both free surface tracking and the interaction of an entry body with the fluid flow need to be considered in the entry problem. Free surface tracking was achieved using a level set method in which advection and reinitialization equations for level set variable were discretized using a least square finite element method. The coupling of the motion of the elastic body with fluid flow was conducted using combined mixed finite element formulation. ALE (arbitrary Lagrangian Eulerian) method was adopted for the movement of a grid since the downward motion of the body is dominant in entry problem. Since a mixed finite element is adopted, a linear basis function that belongs to H1 space is used for velocity and level set variables on each sub-element (Th) while a linearly interpolated pressure variable that belongs to L2 space is adopted on each element (T2h). The level set method based on a least square finite element method was verified by solving some free surface tracking problems and then, the finite element formulation for entry problem was validated by comparing with an existing experimental results. Further, the comparison of the entry of an elastic body with that of a rigid body was investigated.

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