27 citations · 28 across the 10 of their papers we have counts for
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A Gradient-Reconstruction Lattice Boltzmann Method for Compressible Navier--Stokes--Fourier Equations
Adrian Kummerländer, Fedor Bukreev, Mathias J. Krause
Reaching compressible flow has usually forced lattice Boltzmann methods to abandon the compact stencil or the strict locality that make them efficient. We give up neither, solving…
Gradient Reconstruction in Lattice Boltzmann Methods for Systems of Conservation Laws
Adrian Kummerländer, Fedor Bukreev, Mathias J. Krause
The automatic derivation turns a declared system of conservation laws into a lattice Boltzmann scheme, giving each conserved physical quantity a set of q populations whose linear e…
Lattice Boltzmann Method for Compressible Navier-Stokes-Fourier Equations
Fedor Bukreev, Adrian Kummerländer, Mathias J. Krause
A lattice Boltzmann scheme for the three-dimensional compressible Navier--Stokes--Fourier equations, derived automatically from the declared system by a symbolic compiler, is valid…
Automated Derivation of Lattice Boltzmann Methods for Systems of Conservation Laws
Adrian Kummerländer, Fedor Bukreev, Mathias J. Krause
Multiphysics simulation with lattice Boltzmann methods (LBM) requires a scheme hand-derived for each partial differential equation (PDE), a labor-intensive, error-prone bottleneck.…
Mean-Flow Adjoint Sensitivity Analysis of Unsteady Flow Around Porous Cylinders Using a Homogenized Lattice Boltzmann Method
Shota Ito, Johannes L. Grafen, Fedor Bukreev +2
Adjoint-based sensitivity analysis is an indispensable tool for large-scale fluid-dynamic design and distributed control problems, yet its application to unsteady and turbulent flo…
Lattice Boltzmann Methods for Compressible (Magneto)hydrodynamics
Fedor Bukreev, Adrian Kummerländer, Mathias J. Krause
The simulation of magnetohydrodynamic (MHD) flows presents a highly complex, tightly coupled transport problem that poses severe numerical and computational demands. Towards this,…