Title
An Adaptive Finite Element Multi-Mesh Approach for Interacting Deformable Objects in Flow.
Abstract
We consider a hydrodynamic multi-phase field problem to model the interaction of deformable objects. The numerical approach considers one phase field variable for each object and allows for an independent adaptive mesh refinement for each variable. Using the special structure of various terms allows interpolating the solution on one mesh onto another without loss of information. Together with a general multi-mesh concept for the other terms speedup by a factor of two can be demonstrated which improves with the number of interacting objects. The general concept is demonstrated on an example describing the interaction of red blood cells in an idealized vessel.
Year
DOI
Venue
2016
10.1515/cmam-2016-0003
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS
Keywords
Field
DocType
Adaptive Finite Elements,Multi-Mesh,Interacting Deformable Objects,Phase Field Models
Topology,Computer science,Flow (psychology),Multi mesh,Finite element method,Phase field models
Journal
Volume
Issue
ISSN
16
3
1609-4840
Citations 
PageRank 
References 
0
0.34
4
Authors
4
Name
Order
Citations
PageRank
Siqi Ling110.70
Wieland Marth200.34
Simon Praetorius372.08
Axel Voigt4426.68