The kinetic energy of a flow is proportional to the square of the L 2 (Ω) norm of the velocity.
Given a sufficient regular velocity field and a velocity finite element space with polynomials …

This text presents contributions to efficient high-order finite element solvers in the context of
the project ExaDG, part of the DFG priority program 1648 Software for Exascale Computing …

We propose an efficient, accurate and robust IMEX solver for the compressible Navier-
Stokes equations describing non-ideal gases with general cubic equation of state and …

In this work we consider the numerical solution of incompressible flows on two‐dimensional
manifolds. Whereas the compatibility demands of the velocity and the pressure spaces are …

Discretization of Navier--Stokes equations using pressure-robust finite element methods is
considered for the high Reynolds number regime. To counter oscillations due to dominating …

The article presents a semi‐automatic approach to generating structured hexahedral
meshes of patient‐specific aortas ailed by aortic dissection. The condition manifests itself as …

The well-known energy dissipation anomaly in the inviscid limit, related to velocity
singularities according to Onsager, still needs to be demonstrated by numerical …

We present a novel, highly scalable and optimized solver for turbulent flows based on high-
order discontinuous Galerkin discretizations of the incompressible Navier-Stokes equations …

We propose an implicit discontinuous Galerkin (DG) discretization for incompressible two‐
phase flows using an artificial compressibility formulation. The conservative level set (CLS) …

Various materials and solid-fluid mixtures of engineering and biomedical interest can be
modelled as generalised Newtonian fluids, as their apparent viscosity depends locally on …