40 citations · 237 across the 34 of their papers we have counts for
6 papers · 1 filter
A nonlinear discrete-velocity relaxation model for traffic flow
Raul Borsche, Axel Klar
We derive a nonlinear 2-equation discrete-velocity model for traffic flow from a continuous kinetic model. The model converges to scalar Lighthill-Whitham type equations in the rel…
Kinetic layers and coupling conditions for macroscopic equations on networks I: the wave equation
Raul Borsche, Axel Klar
We consider kinetic and associated macroscopic equations on networks. The general approach will be explained in this paper for a linear kinetic BGK model and the corresponding limi…
Simulating spiraling bubble movement in the EL approach
Andreas Weber, Hans-Jörg Bart, Axel Klar
Simulating the detailed movement of a rising bubble can be challenging, especially when it comes to bubble path instabilities. Free rising ellipsoidal bubbles not only move in stra…
A numerical comparison of the method of moments for the population balance equation
Laura Müller, Axel Klar, Florian Schneider
We investigate the application of the method of moments approach for the one-dimensional population balance equation. We consider different types of moment closures, namely polynom…
A multi-scale particle method for mean field equations: the general case
Axel Klar, Sudarshan Tiwari
A multi-scale meshfree particle method for macroscopic mean field approximations of generalized interacting particle models is developed and investigated. The method is working in…
A Flux Conserving Meshfree Method for Conservation Laws
Pratik Suchde, Joerg Kuhnert, Simon Schroeder +1
Lack of conservation has been the biggest drawback in meshfree generalized finite difference methods (GFDMs). In this paper, we present a novel modification of classical meshfree G…