Accurate and Efficient Coupled Surfactant Calculations for Two-Phase Flows with the Discrete Exterior Calculus
Project members
INS - Institut für Numerische Simulation der Rheinischen
Friedrich-Wilhelms-Universität Bonn:
Prof. Dr. Michael Griebel
Projekt objective: Coupled surfactant calculations in two-phase flows
In this project, we will develop a new, robust, accurate and GPU-parallelized
solver for two-phase flow problems with surfactants on the free surface. Based on our
existing solver NaSt3DGPF, we will apply an explicit mesh construction method
for the fluid/fluid interface which performs smooth sub-cell sampling in a
generalization of the marching cubes algorithm.
Figures: preliminary work in interface tracking / mass conservation with NaSt3DGPF
A key feature is then the Discrete Exterior
Calculus (DEC) which will be employed on the interface mesh for the numercial
treatment of the surfactant-PDE, the calculation of the surface tension and the
coupling of the interface-PDE to the bulk equations with significantly different
densities. Together with a sharp interface capturing bulk discretization,
DEC promises to obtain stability, robustness and improved accuracy for the
surfactant equations on the interface, the surface tension calculations and the
bulk quantities even close to the interface.
Figure: Commutative diagram of the operators mapping between primal and dual mesh and different simplices in DEC
We furthermore will parallelize the
new approach for a cluster of GPU compute nodes to obtain a fast simulation tool for
(Taylor) bubble problems and droplet breakup in shear driven flows in the
presence of surfactants.
Figure: Overall scheme of the applied couplings and techniques
Project
DFG Priority Programme 1506:
"Transport Processes at Fluidic Interfaces"
Links
The applied flow solver:
NaSt3DGPF
