activity
20222026
most citedConsistent lattice Boltzmann methods for the volume averaged Navier-Stokes equations

27 citations · 28 across the 10 of their papers we have counts for

collaborators

11 papers

physics.comp-ph2026

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…

cs.MS2026

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…

physics.flu-dyn2026

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…

cs.MS2026

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.…

physics.flu-dyn2026

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…

physics.flu-dyn2026

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,…

physics.flu-dyn2025

Efficient Wall-Modelled Large Eddy Simulation of Rotors using Homogenized Lattice Boltzmann Methods

Adrian Kummerländer, Shota Ito, Maximilian Schecher +4

Accurately capturing the dynamic forces acting on rotors as well as their wake effects presents a significant challenge for computational fluid dynamics (CFD) due to high Reynolds…

physics.comp-ph2025★ 1 cited

Large-Scale Simulations of Turbulent Flows using Lattice Boltzmann Methods on Heterogeneous High Performance Computers

Adrian Kummerländer, Fedor Bukreev, Yuji Shimojima +2

Current GPU-accelerated supercomputers promise to enable large-scale simulations of turbulent flows. Lattice Boltzmann Methods (LBM) are particularly well-suited to fulfilling this…

physics.soc-ph2025

A Digital Urban Twin Enabling Interactive Pollution Predictions and Enhanced Planning

Dennis Teutscher, Fedor Bukreev, Adrian Kummerlaender +5

Digital twin (DT) technology is increasingly used in urban planning, leveraging real-time data integration for environmental monitoring. This paper presents an urban-focused DT tha…

cs.MS2023

OpenLB User Guide: Associated with Release 1.6 of the Code

Adrian Kummerländer, Samuel J. Avis, Halim Kusumaatmaja +18

OpenLB is an object-oriented implementation of LBM. It is the first implementation of a generic platform for LBM programming, which is shared with the open source community (GPLv2)…

math.NA2022★ 27 cited

Consistent lattice Boltzmann methods for the volume averaged Navier-Stokes equations

Fedor Bukreev, Stephan Simonis, Adrian Kummerländer +2

We derive a novel lattice Boltzmann scheme, which uses a pressure correction forcing term for approximating the volume averaged Navier-Stokes equations (VANSE) in up to three dimen…