activity
20202026
most citedConsistent lattice Boltzmann methods for the volume averaged Navier-Stokes equations

27 citations · 31 across the 18 of their papers we have counts for

collaborators

20 papers

math.OC2026

Benchmark cases for gradient-based optimization in linear elastic solid mechanics using lattice Boltzmann methods

Johannes L. Grafen, Florian Kaiser, Stephan Simonis +2

Gradient-based optimization (GBO) of problems constrained by partial differential equations is central to parameter identification and structural design in solid mechanics. Lattice…

math.NA2026

Computing statistical Euler limits of the Navier--Stokes equations in three dimensions

Johannes L. Grafen, Tobias Rohner, Stephan Simonis

We develop a Monte Carlo lattice Boltzmann method to compute statistical solutions to the three-dimensional incompressible Navier--Stokes and Euler equations. Entropic space-time a…

math.NA2026

Computing statistical solutions of a Mach 2000 astrophysical jet

Stephan Simonis, Gauthier Wissocq

The multi-dimensional compressible Euler equations admit non-unique entropy solutions in turbulent regimes, and extreme-Mach astrophysical flows are a natural setting in which 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.flu-dyn2025

Uncertain data assimilation for urban wind flow simulations with OpenLB-UQ

Mingliang Zhong, Dennis Teutscher, Adrian Kummerländer +3

Accurate prediction of urban wind flow is essential for urban planning, pedestrian safety, and environmental management. Yet, it remains challenging due to uncertain boundary condi…

physics.flu-dyn2025

OpenLB-UQ: An Uncertainty Quantification Framework for Incompressible Fluid Flow Simulations

Mingliang Zhong, Adrian Kummerländer, Shota Ito +3

Uncertainty quantification (UQ) is crucial in computational fluid dynamics to assess the reliability and robustness of simulations, given the uncertainties in input parameters. Ope…

physics.flu-dyn2025

Analytical solution for dynamic evaporation of liquid in isothermal condition

Luiz Eduardo Czelusniak, Tim Niklas Bingert, Stephan Simonis +2

An analytical solution based on a diffuse interface model is presented for an isothermal evaporation problem under sub-saturation pressure. The macroscopic equations are derived fr…

physics.flu-dyn2025

On the consistency of pseudo-potential lattice Boltzmann methods

Luiz Eduardo Czelusniak, Tim Niklas Bingert, Mathias J. Krause +1

We derive the partial differential equation (PDE) to which the pseudo-potential lattice Boltzmann method (P-LBM) converges under diffusive scaling, providing a rigorous basis for i…

physics.flu-dyn2025

On the range of validity of parabolic models for fluid flow through isotropic homogeneous porous media

Davide Dapelo, Stephan Simonis, Mohaddeseh Mousavi Nezhad +2

Lattice-Boltzmann methods are established mesoscopic numerical schemes for fluid flow, that recover the evolution of macroscopic quantities (viz., velocity and pressure fields) evo…

cs.LG2025

Predicting Filter Medium Performances in Chamber Filter Presses with Digital Twins Using Neural Network Technologies

Dennis Teutscher, Tyll Weber-Carstanjen, Stephan Simonis +1

Efficient solid-liquid separation is crucial in industries like mining, but traditional chamber filter presses depend heavily on manual monitoring, leading to inefficiencies, downt…

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…

math.NA2024

Nonuniqueness of lattice Boltzmann schemes derived from finite difference methods

Eliane Kummer, Stephan Simonis

Recently, the construction of finite difference schemes from lattice Boltzmann schemes has been rigorously analyzed [Bellotti et al. (2022), Numer. Math. 152, pp. 1-40]. It is thus…

math.NA2023

Homogenized lattice Boltzmann methods for fluid flow through porous media -- part I: kinetic model derivation

Stephan Simonis, Nicolas Hafen, Julius Jeßberger +3

In this series of studies, we establish homogenized lattice Boltzmann methods (HLBM) for simulating fluid flow through porous media. Our contributions in part I are twofold. First,…

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★ 1 cited

Binary mixture flow with free energy lattice Boltzmann methods

Stephan Simonis, Johannes Nguyen, Samuel J. Avis +2

We use free energy lattice Boltzmann methods (FRE LBM) to simulate shear and extensional flow of a binary mixture in two and three dimensions. To this end, two classical configurat…

math.NA2022

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…

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…

math.NA2022★ 3 cited

Limit Consistency of Lattice Boltzmann Equations

Stephan Simonis, Mathias J. Krause

We establish the notion of limit consistency as a modular part in proving the consistency of lattice Boltzmann equations (LBEs) with respect to a given partial differential equatio…

physics.flu-dyn2021

Comprehensive computational model for coupled fluid flow, mass transfer and light supply in tubular photobioreactors equipped with glass sponges

Albert Mink, Kira Schediwy, Clemens Posten +3

The design and optimization of photobioreactors (PBR) can benefit from the development of robust and yet quantitatively accurate computational models, that incorporate the complex…

physics.comp-ph2020

Fluid-Structure Interaction Simulation of a Coriolis Mass Flowmeter using a Lattice Boltzmann Method

Marc Haussmann, Peter Reinshaus, Stephan Simonis +2

In this paper we use a fluid-structure interaction (FSI) approach to simulate a Coriolis mass flowmeter (CMF). The fluid dynamics are calculated by the open source framework OpenLB…