11 papers · 1 filter
A semi-Lagrangian method for the polyatomic ESBGK model
Klaas Willems, Erik Arlemark, Giovanni Samaey +1
Polyatomic kinetic models are essential for accurately capturing the thermodynamic behavior of real gases, as internal energy modes significantly influence transport coefficients,…
A localized consensus-based sampling algorithm
Arne Bouillon, Alexander Bodard, Panagiotis Patrinos +2
We propose a localized consensus-based method for sampling from non-Gaussian distributions, a task that frequently arises when solving Bayesian inverse problems. Our method arises…
A meshless MUSCL method for the BGK-Boltzmann equation
Klaas Willems, Axel Klar, Giovanni Russo +2
We present a numerical method for simulating rarefied gases that interact with moving boundaries and rigid bodies. The gas is described by the BGK equation in Lagrangian form and s…
A Hyperbolic Moment Based Shallow Water Model for Coupled Bedload Suspended Load Morphodynamics with Variable Density
Afroja Parvin, Giovanni Samaey, Julian Koellermeier
In this paper, we develop the Hyperbolic Shallow Water Exner Moment model with Erosion and Deposition (HSWEMED), extending the shallow water moment framework to capture coupled mor…
Markov chain Monte Carlo for Bayesian inference of the non-conducting region in intra-atrial reentrant tachycardia
Maarten Volkaerts, Marie Cloet, Hans Dierckx +2
We present a Bayesian approach to estimate the parameters of mathematical models of cardiac electrophysiology with quantified uncertainty. Such models capture the dynamics of the e…
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…