40 citations · 237 across the 34 of their papers we have counts for
14 papers · 1 filter
A hierarchy of kinetic discrete-velocity models for traffic flow derived from a non-local Prigogine-Herman model
Raul Borsche, Axel Klar
Starting from a non-local version of the Prigogine-Herman traffic model, we derive a natural hierarchy of kinetic discrete velocity models for traffic flow consisting of systems of…
A mesh-free particle method for continuum modeling of granular flow
Sudarshan Tiwari, Axel Klar
Based on the continuum model for granular media developed in Dunatunga et al. we propose a mesh-free generalized finite difference method for the simulation of granular flows. The…
A meshfree arbitrary Lagrangian-Eulerian method for the BGK model of the Boltzmann equation with moving boundaries
Sudarshan Tiwari, Axel Klar, Giovanni Russo
In this paper we present a novel technique for the simulation of moving boundaries and moving rigid bodies immersed in a rarefied gas using an Eulerian-Lagrangian formulation based…
A meshfree method for the BGK model for rarefied gas dynamics
Sudarshan Tiwari, Axel Klar, Giovanni Russo
In this paper we have applied a Semi-Lagrangian schemes with meshfree interpolation, based on a Moving Least Squares (MLS) method, to solve the BGK model for rarefied gas dynamics.…
Modeling and Simulation of Macroscopic Pedestrian Flow Models
Naveen Kumar Mahato, Axel Klar, Sudarshan Tiwari
We analyze numerically some macroscopic models of pedestrian motion such as Hughes model [1] and mean field game with nonlinear mobilities [2] modeling fast exit scenarios in pedes…
Higher-order models for glioma invasion: from a two-scale description to effective equations for mass density and momentum
Gregor Corbin, Alexander Hunt, Florian Schneider +2
Starting from a two-scale description involving receptor binding dynamics and a kinetic transport equation for the evolution of the cell density function under velocity reorientati…