activity
20202026
most citedHilbert expansion based fluid models for kinetic equations describing neutral particles in the plasma edge of a fusion device

6 citations · 12 across the 10 of their papers we have counts for

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5 papers · 1 filter

math.NA2025

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…

math.NA2025

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…

math.NA2025

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,…

math.NA2022

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…

math.NA2021

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…