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19952026
most citedExplainable Machine Learning for Scientific Insights and Discoveries

1k citations

Showing physics.comp-phShow all

5 papers · 1 filter

physics.comp-ph2021★ 26 cited

Lettuce: PyTorch-based Lattice Boltzmann Framework

Mario Christopher Bedrunka, Dominik Wilde, Martin Kliemank +3

The lattice Boltzmann method (LBM) is an efficient simulation technique for computational fluid mechanics and beyond. It is based on a simple stream-and-collide algorithm on Cartes…

physics.comp-ph2021★ 16 cited

Cubature rules for weakly and fully compressible off-lattice Boltzmann methods

Dominik Wilde, Andreas Krämer, Mario Bedrunka +2

Off-lattice Boltzmann methods increase the flexibility and applicability of lattice Boltzmann methods by decoupling the discretizations of time, space, and particle velocities. How…

physics.comp-ph2020★ 19 cited

High-order semi-Lagrangian kinetic scheme for compressible turbulence

Dominik Wilde, Andreas Krämer, Dirk Reith +1

Turbulent compressible flows are traditionally simulated using explicit time integrators applied to discretized versions of the Navier-Stokes equations. However, the associated Cou…

physics.comp-ph2019★ 50 cited

Semi-Lagrangian lattice Boltzmann method for compressible flows

Dominik Wilde, Andreas Krämer, Dirk Reith +1

This work thoroughly investigates a semi-Lagrangian lattice Boltzmann (SLLBM) solver for compressible flows. In contrast to other LBM for compressible flows, the vertices are organ…

physics.comp-ph2018★ 13 cited

Orbital-enriched Flat-top Partition of Unity Method for the Schrödinger Eigenproblem

Clelia Albrecht, Constanze Klaar, John E. Pask +3

Quantum mechanical calculations require the repeated solution of a Schrödinger equation for the wavefunctions of the system. Recent work has shown that enriched finite element meth…