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.
Funding source: Deutsche Forschungsgemeinschaft
Award Identifier / Grant number: Cluster of Excellence ‘Center for Advancing Electronics Dresden’ (cfaed)
Funding statement: This work is supported in part by the German Research Foundation (DFG) within the Cluster of Excellence ‘Center for Advancing Electronics Dresden’ (cfaed). The work was also supported by the Sino-German Science Center (grant id 1228) on the occasion of the Chinese-German Workshop on Computational and Applied Mathematics in Augsburg 2015, and by the Isaac Newton Institute for Mathematical Sciences in Cambridge, where WM and AV were guests in 2015. Simulations were carried out at ZIH at TU Dresden and JSC at FZ Jülich.
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