15 papers
Fourier Neural Operators for Rayleigh-Bénard Convection
Chelsea Maria John, Thibaut Lunet, Sebastian Götschel +3
We propose an improved Fourier Neural Operator (FNO) for modeling two-dimensional Rayleigh-Bénard convection by predicting time increments instead of full solutions, achieving hig…
Tracking in-silico Lagrangian sensors in a lab-scale stirred tank reactor
Vamika Rathi, Fatima Sehar, Finn Sommer +4
Lagrangian sensors have shown promise to improve operator awareness of conditions inside a chemical reactor but three-dimensional tracking remains a mostly unsolved challenge. We e…
Bathymetry Reconstruction by Bayesian Inference
Lars Stietz, Sebastian Götschel, Peter Schleper +1
Bathymetry reconstruction is an important problem in various fields, including oceanography and environmental monitoring. This paper presents a Bayesian inference approach to recon…
Approximation of the Basset force in the Maxey-Riley-Gatignol equations via universal differential equations
Finn Sommer, Vamika Rathi, Sebastian Goetschel +1
The Maxey-Riley-Gatignol equations (MaRGE) model the motion of spherical inertial particles in a fluid. They contain the Basset force, an integral term which models history effects…
Spectral Deferred Corrections in the framework of Runge-Kutta methods
Eugen Bronasco, Joscha Fregin, Daniel Ruprecht +1
We interpret a wide range of flavors of Spectral Deferred Corrections (SDC) as Runge-Kutta methods (RKM). Using Butcher series, we show that the considered class of SDC methods ach…
Parallel performance of shared memory parallel spectral deferred corrections
Philip Freese, Sebastian Götschel, Thibaut Lunet +2
We investigate the parallel performance of Parallel Spectral Deferred corrections, a numerical approach that provides small-scale parallelism for the numerical solution of initial…