Active fluids exhibit spontaneous flows with complex spatiotemporal structure, which have
been observed in bacterial suspensions, sperm cells, cytoskeletal suspensions, self …

Numerical solutions of partial differential equations enable a broad range of scientific
research. The Dedalus project is a flexible, open-source, parallelized computational …

Fluid deformable surfaces are ubiquitous in cell and tissue biology, including lipid bilayers,
the actomyosin cortex or epithelial cell sheets. These interfaces exhibit a complex interplay …

The collective motion of microswimmers in suspensions induce patterns of vortices on
scales that are much larger than the characteristic size of a microswimmer, attaining a state …

We investigate the turbulent dynamics of a two-dimensional active nematic liquid crystal
constrained to a curved surface. Using a combination of hydrodynamic and particle-based …

We consider surface finite elements and a semi-implicit time step** scheme to simulate
fluid deformable surfaces. Such surfaces are modeled by incompressible surface Navier …

We derive a Cartesian componentwise description of the covariant derivative of tangential
tensor fields of any degree on Riemannian manifolds. This allows to reformulate any vector …

We consider the derivation and numerical solution of the flow of passive and active polar
liquid crystals, whose molecular orientation is subjected to a tangential anchoring on an …

This paper presents a method for accurate and efficient computations on scalar, vector and
tensor fields in three-dimensional spherical polar coordinates. The method uses spin …

We derive and numerically solve a surface active nematodynamics model. We validate the
numerical approach on a sphere and analyse the influence of hydrodynamics on the …