7 citations · 17 across the 14 of their papers we have counts for
9 papers · 1 filter
Space-Time Parallel Direct Numerical Simulation of Rayleigh-Bénard Convection
Thomas Saupe, Thibaut Lunet, Mathis Bode +3
Rayleigh-Bénard convection (RBC) is a model for turbulent flow and challenging to simulate by direct numerical simulation (DNS). Adequate resolution of all relevant length scales r…
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…
Order jumps in Spectral Deferred Corrections
Eugen Bronasco, Joscha Fregin, Daniel Ruprecht +1
Spectral deferred corrections (SDC) are time-stepping schemes were a low-order integrator is used iteratively to produce a higher order numerical approximation. SDC methods are wel…
Enforcing boundary conditions for physics-informed neural operators
Niklas Göschel, Sebastian Götschel, Daniel Ruprecht
Machine-learning based methods like physics-informed neural networks and physics-informed neural operators are becoming increasingly adept at solving even complex systems of partia…
Fast-wave slow-wave spectral deferred correction methods applied to the compressible Euler equations
Alex Brown, Joscha Fregin, Thomas Bendall +3
This paper investigates the application of a fast-wave slow-wave spectral deferred correction time-stepping method (FWSW-SDC) to the compressible Euler equations. The resulting mod…
Space-time parallel scaling of Parareal with a physics-informed Fourier Neural Operator coarse propagator applied to the Black-Scholes equation
Abdul Qadir Ibrahim, Sebastian Götschel, Daniel Ruprecht
Iterative parallel-in-time algorithms like Parareal can extend scaling beyond the saturation of purely spatial parallelization when solving initial value problems. However, they re…
Improving Efficiency of Parallel Across the Method Spectral Deferred Corrections
Gayatri Čaklović, Thibaut Lunet, Sebastian Götschel +1
Parallel-across-the method time integration can provide small scale parallelism when solving initial value problems. Spectral deferred corrections (SDC) with a diagonal sweeper, wh…
Efficient numerical methods for the Maxey-Riley-Gatignol equations with Basset history term
Julio Urizarna-Carasa, Leon Schlegel, Daniel Ruprecht
The Maxey-Riley-Gatignol equations (MRGE) describe the motion of a finite-sized, spherical particle in a fluid. Because of wake effects, the force acting on a particle depends on i…
Impact of spatial coarsening on Parareal convergence for the linear advection equation
Judith Angel, Sebastian Götschel, Daniel Ruprecht
The Parareal parallel-in-time integration method often performs poorly when applied to hyperbolic partial differential equations. This effect is even more pronounced when the coars…