For the quantitative evaluation of three-dimensional dynamics in high-throughput microfluidic separation devices, detailed large-scale simulations are fundamental. For this application, a parallel finite element solver of incompressible two-phase flow is presented. The method relies on a conservative level set formulation for representing the interface and uses adaptive mesh refinement on forests of octrees. An implicit time stepping with efficient block solvers for the incompressible Navier– Stokes equations discretized with Taylor–Hood and augmented Taylor–Hood finite elements is presented. A matrix-free implementation is used that reduces the solution time for the Navier–Stokes system by a factor of three compared to the best matrix-based algorithms. Scalability of the chosen algorithms up to 32 768 cores and a billion of degrees of freedom is shown.     «

For the quantitative evaluation of three-dimensional dynamics in high-throughput microfluidic separation devices, detailed large-scale simulations are fundamental. For this application, a parallel finite element solver of incompressible two-phase flow is presented. The method relies on a conservative level set formulation for representing the interface and uses adaptive mesh refinement on forests of octrees. An implicit time stepping with efficient block solvers for the incompressible Navier–...     »