56 citations · 740 across the 54 of their papers we have counts for
15 papers · 1 filter
Computing differential operators of the particle velocity in moving particle clouds using tessellations
Thibault Maurel-Oujia, Keigo Matsuda, Kai Schneider
We propose finite-time measures to compute the divergence, the curl and the velocity gradient tensor of the point particle velocity for two- and three-dimensional moving particle c…
Adaptive solution of initial value problems by a dynamical Galerkin scheme
Rodrigo M. Pereira, Natacha Nguyen van yen, Kai Schneider +1
We study dynamical Galerkin schemes for evolutionary partial differential equations (PDEs), where the projection operator changes over time. When selecting a subset of basis functi…
A Characteristic Mapping Method for the three-dimensional incompressible Euler equations
Xi-Yuan Yin, Kai Schneider, Jean-Christophe Nave
We propose an efficient semi-Lagrangian Characteristic Mapping (CM) method for solving the three-dimensional (3D) incompressible Euler equations. This method evolves advected quant…
Adaptive two- and three-dimensional multiresolution computations of resistive magnetohydrodynamics
Anna Karina Fontes Gomes, Margarete Oliveira Domingues, Odim Mendes +1
Fully adaptive computations of the resistive magnetohydrodynamic (MHD) equations are presented in two and three space dimensions using a finite volume discretization on locally ref…
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…