High-order simulation scheme for active particles driven by stress boundary conditions

Abstract

We study the dynamics and interactions of elliptic active particles in a two dimensional solvent. The particles are self-propelled through prescribing a fluid stress at one half of the fluid-particle boundary. The fluid is treated explicitly solving the Stokes equation through a discontinuous Galerkin scheme, which allows to simulate strictly incompressible fluids. We present numerical results for a single particle and give an outlook on how to treat suspensions of interacting active particles.

Editorial: Multiscale simulation methods for soft matter systems

“…The articles in this special issue illustrate the progress that has been made in the field of multiscale modelling of soft matter in recent years, as well as the many remaining challenges and open questions. They also demonstrate the potential of multiscale simulations for obtaining insights into complex systems and processes, such as nanoscale-segregated ionic liquids [17], high performance rubber materials [28], emergent properties of active or responsive colloids [11,23], or controlled nanoparticle growth [29,30].…”

“…The final challenge is to develop multiresolution approaches that combine different levels of resolution at a time, for studies of heterogeneous systems or systems far from equilibrium, Deußen et al [23] consider suspensions of active self-propelled particles and show how to use state-of-the-art discontinuous Galerkin methods to study the collective behavior of swimmers with arbitrary stress boundary conditions. Baptista et al [24] reconsider the established Hamiltonian adaptive resolution simulation (AdResS) method [25,26] and establish a connection to density functional theory.…”

An extended discontinuous Galerkin shock tracking method

“…The BoSSS code has found successful applications in a range of challenging scenarios. These applications include simulations of incompressible flows with active particles, 39 compressible inviscid and viscous flows with moving immersed boundaries, 22 extension for shock-capturing in high Mach number flows, 23 diffusion flames in low Mach number flows, 40 incompressible multiphase flows, 41 viscoelastic fluid flows 42 and helical flows, 43,44 are not supported. All XDG shock tracking test cases discussed in this work (Section 7) can be reproduced by downloading the publicly available repository 2 and starting the respective jupyter notebooks from the directory ./examples/ShockFitting.…”