56 citations · 740 across the 54 of their papers we have counts for
8 papers · 1 filter
A wavelet-adaptive method for multiscale simulation of turbulent flows in flying insects
Thomas Engels, Kai Schneider, Julius Reiss +1
We present a wavelet-based adaptive method for computing 3D multiscale flows in complex, time-dependent geometries, implemented on massively parallel computers. While our focus is…
A Characteristic Mapping Method for the two-dimensional incompressible Euler equations
Xi-Yuan Yin, Olivier Mercier, Badal Yadav +2
We propose an efficient semi-Lagrangian method for solving the two-dimensional incompressible Euler equations with high precision on a coarse grid. The new approach evolves the flo…
Wavelet-based parallel dynamic mesh adaptation for magnetohydrodynamics in the AMROC framework
Margarete Oliveira Domingues, Ralf Deiterding, Muller Moreira Lopes +3
Computational magnetohydrodynamics (MHD) for space physics has become an essential area in understanding the multiscale dynamics of geophysical and astrophysical plasma processes,…
Local time-stepping for adaptive multiresolution using natural extension of Runge--Kutta methods
Müller Moreira Lopes, Margarete Oliveira Domingues, Kai Schneider +1
A space-time fully adaptive multiresolution method for evolutionary non-linear partial differential equations is presented introducing an improved local time-stepping method. The s…
Volume penalization for inhomogeneous Neumann boundary conditions modeling scalar flux in complicated geometry
Teluo Sakurai, Katsunori Yoshimatsu, Naoya Okamoto +1
We develop a volume penalization method for inhomogeneous Neumann boundary conditions, generalizing the flux-based volume penalization method for homogeneous Neumann boundary condi…
On the verification of adaptive three-dimensional multiresolution computations of the magnetohydrodynamic equations
Anna Karina Fontes Gomes, Margarete Oliveira Domingues, Odim Mendes +1
Magnetohydrodynamics is an important tool to study the dynamics of plasma Space Physics. In this context, we introduce a three-dimensional magnetohydrodynamic solver with divergenc…