6 citations · 12 across the 10 of their papers we have counts for
11 papers
Water-at-Rest Equilibrium Stability Analysis of a first-moment Shallow Water Exner Moment Model with Sediment Entrainment and Deposition: Extended Technical Report
Afroja Parvin, Giovanni Samaey, Julian Koellermeier
We derive the first-moment Shallow Water Exner Moment model with sediment entrainment and deposition (SWEMED1) and show that the full source term has a fully-settled water-at-rest…
Analysis of kinetic-diffusion Monte Carlo simulation and source term estimation scheme in nuclear fusion applications
Zhirui Tang, Julian Koellermeier, Emil Løvbak +1
In plasma edge simulations, the behavior of neutral particles is often described by a Boltzmann--BGK equation. Solving this kinetic equation and estimating the moments of its solut…
Numerical analysis of fluid estimation for source terms in neutral particles simulation
Zhirui Tang, Emil Løvbak, Julian Koellermeier +1
In plasma edge simulations, kinetic Monte Carlo (MC) is often used to simulate neutral particles and estimate source terms. For large-sized reactors, like ITER and DEMO, high parti…
A Moment-Based Shallow Water Model for Coupled Bedload-Suspended Load Transport with Variable Density: Hyperbolicity and Numerical Validation
Afroja Parvin, Giovanni Samaey, Julian Koellermeier
In this paper, we develop a Hyperbolic Shallow Water Exner Moment model with Erosion and Deposition (HSWEMED), which extends the recent shallow water moment framework to capture co…
A semi-implicit exactly fully well-balanced relaxation scheme for the Shallow Water Linearized Moment Equations
C. Caballero-Cárdenas, I. Gómez-Bueno, A. del Grosso +2
When dealing with shallow water simulations, the velocity profile is often assumed to be constant along the vertical axis. However, since in many applications this is not the case,…
Predicting the statistical error of analog particle tracing Monte Carlo
Vince Maes, Ignace Bossuyt, Hannes Vandecasteele +4
Large particle systems are often described by high-dimensional (linear) kinetic equations that are simulated using Monte Carlo methods for which the asymptotic convergence rate is…
Hilbert expansion based fluid models for kinetic equations describing neutral particles in the plasma edge of a fusion device
Vince Maes, Wouter Dekeyser, Julian Koellermeier +2
Neutral particles in the plasma edge of fusion devices based on magnetic confinement are described by a transient kinetic equation incorporating ionization, recombination, and char…
Projective Integration Methods in the Runge-Kutta Framework and the Extension to Adaptivity in Time
Julian Koellermeier, Giovanni Samaey
Projective Integration methods are explicit time integration schemes for stiff ODEs with large spectral gaps. In this paper, we show that all existing Projective Integration method…
Spatially Adaptive Projective Integration Schemes For Stiff Hyperbolic Balance Laws With Spectral Gaps
Julian Koellermeier, Giovanni Samaey
Stiff hyperbolic balance laws exhibit large spectral gaps, especially if the relaxation term significantly varies in space. Using examples from rarefied gases and the general form…
Shallow Water Moment models for bedload transport problems
José Garres-Díaz, Manuel J. Castro Díaz, Julian Koellermeier +1
In this work a simple but accurate shallow model for bedload sediment transport is proposed. The model is based on applying the moment approach to the Shallow Water Exner model, ma…
Projective Integration Schemes for Hyperbolic Moment Equations
Julian Koellermeier, Giovanni Samaey
In this paper, we apply projective integration methods to hyperbolic moment models of the Boltzmann equation and the BGK equation, and investigate the numerical properties of the r…