63 citations · 347 across the 39 of their papers we have counts for
3 papers · 2 filters
Constructing relaxation systems for lattice Boltzmann methods
Stephan Simonis, Martin Frank, Mathias J. Krause
We present the first top-down ansatz for constructing lattice Boltzmann methods (LBM) in d dimensions. In particular, we construct a relaxation system (RS) for a given scalar, line…
Neural network-based, structure-preserving entropy closures for the Boltzmann moment system
Steffen Schotthöfer, Tianbai Xiao, Martin Frank +1
This work presents neural network based minimal entropy closures for the moment system of the Boltzmann equation, that preserve the inherent structure of the system of partial diff…
A low-rank power iteration scheme for neutron transport criticality problems
Jonas Kusch, Benjamin Whewell, Ryan McClarren +1
Computing effective eigenvalues for neutron transport often requires a fine numerical resolution. The main challenge of such computations is the high memory effort of classical sol…