In a single process, the merger of binary neutron star systems combines extreme gravity, the
copious emission of gravitational waves, complex microphysics and electromagnetic …

For compressible flow simulations involving both turbulence and shockwaves, the
competing requirements render it challenging to develop high-order numerical methods …

Although classical WENO schemes have achieved great success and are widely accepted,
they exhibit several shortcomings. They are too dissipative for direct simulations of …

We investigate dynamics of a single cavitation bubble in the vicinity of a horizontal wall
throughout expansion and collapse using a sharp–interface level-set method. The numerical …

We present the black hole accretion code (BHAC), a new multidimensional general-
relativistic magnetohydrodynamics module for the MPI-AMRVAC framework. BHAC has …

When binary systems of neutron stars merge, a very small fraction of their rest mass is
ejected, either dynamically or secularly. This material is neutron-rich and its nucleosynthesis …

For solving time-dependent convection-dominated partial differential equations (PDEs),
which arise frequently in computational physics, high order numerical methods, including …

We construct a local Lax–Friedrichs type positivity-preserving flux for compressible Navier–
Stokes equations, which can be easily extended to multiple dimensions for generic forms of …

We investigate the impact of using high-order numerical methods to study the merger of
magnetized neutron stars with finite-temperature microphysics and neutrino cooling in full …

We present a new approach for achieving high-order convergence in fully general-
relativistic hydrodynamic simulations. The approach is implemented in WhiskyTHC, a new …