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Mathias J. Krause

Karlsruhe Institute of Technology

SCHOLARLY PAPERS

16

DOWNLOADS

1,088

TOTAL CITATIONS

7

Scholarly Papers (16)

1.

Optimization of Single Node Load Balancing for Lattice Boltzmann Methods on Heterogeneous High Performance Computers

Number of pages: 42 Posted: 01 Feb 2024
Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Federal University of Rio Grande do Sul (UFRGS/PPGC) and Karlsruhe Institute of Technology
Downloads 164 (456,852)

Abstract:

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High Performance Computation, Lattice Boltzmann Methods, Spatial Domain Decompostion, Genetic Programming, Load Balancing, Heterogeneous Computation

2.

OpenLB User Guide: Associated with Release 1.7 of the Code

Number of pages: 220 Posted: 08 Jan 2025
Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, University of Liverpool, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Durham University, University of Edinburgh, Karlsruhe Institute of Technology, Brno University of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology and Karlsruhe Institute of Technology
Downloads 97 (715,072)
Citation 1

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Mathematical Software, Parallel Computing, Lattice Boltzmann Methods, C++ Library, Computational Fluid Dynamics

3.

Identification of Reaction Rate Parameters from Uncertain Spatially Distributed Concentration Data Using Gradient-Based Pde Constrained Optimization

Number of pages: 24 Posted: 30 Oct 2023
Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, University of Bremen, Karlsruhe Institute of Technology, University College Dublin (UCD), University of Bremen and Karlsruhe Institute of Technology
Downloads 97 (704,534)
Citation 1

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Parameter identification, Computational Fluid Dynamics, Lattice Boltzmann methods, Gradient-based optimization, Inverse Problem

4.

Efficient Fluid Structure Interaction Simulation of Vocal Fold Oscillations using a Homogenized Lattice Boltzmann Method

Number of pages: 37 Posted: 06 Dec 2025
Karlsruhe Institute of Technology, affiliation not provided to SSRN, affiliation not provided to SSRN, Karlsruhe Institute of Technology, affiliation not provided to SSRN, Karlsruhe Institute of Technology and affiliation not provided to SSRN
Downloads 90 (747,755)

Abstract:

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VF, CFD, FSI, LBM, HPC

5.

Benchmark Simulation of Laminar Reactive Micromixing Using Lattice Boltzmann Methods

Number of pages: 24 Posted: 09 Oct 2023
Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Technical University of Darmstadt and Karlsruhe Institute of Technology
Downloads 90 (742,061)

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benchmark simulation, micromixer, LBM, DNS, reaction, advection-diffusion equation

6.

Spectral Effects of Entropic Multi-Relaxation for Lattice Boltzmann Methods

Number of pages: 32 Posted: 01 Oct 2024
Karlsruhe Institute of Technology, NVIDIA, affiliation not provided to SSRN and Karlsruhe Institute of Technology
Downloads 85 (790,029)

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lattice Boltzmann methods, Taylor-Green vortex, entropy control, spectral analysis, brute force method, Navier-Stokes equations

7.

A Stochastic Galerkin Lattice Boltzmann Method for Incompressible Fluid Flows with Uncertainties

Number of pages: 37 Posted: 26 Feb 2024
Karlsruhe Institute of Technology, affiliation not provided to SSRN, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology and Karlsruhe Institute of Technology
Downloads 84 (777,583)
Citation 3

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stochastic Galerkin method, generalized polynomial chaos, Uncertainty Quantification, lattice Boltzmann method, incompressible fluid flow, OpenLB

8.

Geometry Reconstruction from Magnetic Resonance Velocimetry Measurements via Solving an Inverse Fluid Flow Problem

Number of pages: 34 Posted: 23 Jun 2025 Last Revised: 19 Jun 2026
Karlsruhe Institute of Technology, University of Bremen, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, University of Bremen, University College Dublin (UCD) and Karlsruhe Institute of Technology
Downloads 83 (809,932)
Citation 1

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Topology optimization, Computational fluid dynamics, Lattice Boltzmann methods, Gradient-based optimization, Inverse problem, Magnetic resonance velocimetry

A Lattice Boltzmann Approach for Thermal Microflows

Number of pages: 19 Posted: 17 Dec 2024
Anas Selmi, Fedor Bukreev, Cristian Nagel and Mathias J. Krause
affiliation not provided to SSRN, Karlsruhe Institute of Technology, affiliation not provided to SSRN and Karlsruhe Institute of Technology
Downloads 37 (1,252,562)

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Lattice Boltzmann method, rarefied gas flow, higher Knudsen number, Poiseuille flow, slip boundary condition, thermal creep.

A Lattice Boltzmann Approach for Thermal Microflows

Number of pages: 19 Posted: 02 Apr 2025
Anas Selmi, Mathias J. Krause, Fedor Bukreev and Cristian Nagel
affiliation not provided to SSRN, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology and affiliation not provided to SSRN
Downloads 27 (1,415,710)

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Lattice Boltzmann method, rarefied gas flow, higher Knudsen number, Poiseuille flow, Slip boundary condition, thermal creep.

10.

Prediction of Aerosol Distributions in Turbulent Flow Regimes with a Sub-Grid Scale Particle Lattice Boltzmann Method

Number of pages: 19 Posted: 18 Oct 2024
Karlsruhe Institute of Technology, affiliation not provided to SSRN, University of Twente, Karlsruhe Institute of Technology and Karlsruhe Institute of Technology
Downloads 44 (1,145,425)

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Lattice Boltzmann Method, Large Eddy Simulation, sub-grid Lagrangian particles, OpenLB, Infection risk

11.

A Digital Urban Twin Enabling Interactive Pollution Predictions and Enhanced Planning

Number of pages: 32 Posted: 26 Feb 2025
Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Henning Larsen, affiliation not provided to SSRN and Karlsruhe Institute of Technology
Downloads 42 (1,157,785)
Citation 1

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digital twin, computational fluid dynamics, lattice Boltzmann method, urban, pollution, particulate matter, porous media, OpenStreetMap

12.

Accuracy and consistency of lattice Boltzmann methods in large eddy and direct numerical simulations of turbulent channel flows

Number of pages: 55 Posted: 20 Apr 2026
Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology and Karlsruhe Institute of Technology
Downloads 37 (1,263,436)

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13.

Optimal Boundary Control in a Micromixer

Number of pages: 9 Posted: 15 Apr 2024
Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology and Karlsruhe Institute of Technology
Downloads 34 (1,290,922)

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Optimal boundary control, mixer, fluid flow optimization

14.

Generation of efficient adjoint lattice Boltzmann methods with algorithmic differentiation

Number of pages: 28 Posted: 01 Apr 2026
Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, Karlsruhe Institute of Technology, affiliation not provided to SSRN, affiliation not provided to SSRN and Karlsruhe Institute of Technology
Downloads 31 (1,399,036)

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Lattice Boltzmann Method, computational fluid dynamics, Adjoint analysis, Algorithmic differentiation, Code generation

15.

In vivo blood viscosity estimation from microscopic images by solving an inverse incompressible Navier-Stokes problem

Number of pages: 22 Posted: 10 Feb 2026
Karlsruhe Institute of Technology, affiliation not provided to SSRN, Karlsruhe Institute for Technology, Karlsruhe Institute of Technology, affiliation not provided to SSRN, affiliation not provided to SSRN, affiliation not provided to SSRN, Karlsruhe Institute of Technology and Karlsruhe Institute of Technology
Downloads 25 (1,399,036)

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Microscopic imaging, computational fluid dynamics, inverse problems, hemodynamics

16.

A lattice Boltzmann approach for thermal microflows

Number of pages: 19 Posted: 26 Jan 2026
Anas Selmi, Cristian Nagel, Fedor Bukreev and Mathias J. Krause
affiliation not provided to SSRN, affiliation not provided to SSRN, Karlsruhe Institute of Technology and Karlsruhe Institute of Technology
Downloads 21 (1,448,301)

Abstract:

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Lattice Boltzmann method, Rarefied gas flow, higher Knudsen number, Poiseuille flow, Slip boundary condition, thermal creep.