5 papers
A Kinetic Theory Approach To Ordered Fluids: Direct Simulation Monte Carlo Methods
José A. Carrillo, Patrick E. Farrell, Andrea Medaglia +1
We present a direct simulation Monte Carlo (DSMC) method for the kinetic theory of ordered fluids recently introduced by the authors. The microscopic constituents of these fluids c…
Multi-fidelity methods for kinetic models of epidemic dynamics with uncertain contact structure
Liu Liu, Andrea Medaglia, Hao Xie +1
In this work, we develop a multi-fidelity strategy for kinetic models in epidemiology with uncertain contact dynamics. Assessing and controlling the population-level effects of con…
A DSMC method for the space homogeneous multispecies Landau equation
Andrea Medaglia
We present a Direct Simulation Monte Carlo (DSMC) method for the spatially homogeneous multispecies Landau-Fokker-Planck equation. The scheme is derived from a first-order approxim…
A DSMC-PIC coupling method for the Vlasov-Maxwell-Landau system
Andrea Medaglia, Lorenzo Pareschi, Mattia Zanella
We present a numerical framework for the simulation of collisional plasma dynamics, based on a coupling between Direct Simulation Monte Carlo (DSMC) and Particle-in-Cell (PIC) meth…
A Kinetic Theory Approach to Ordered Fluids
José A. Carrillo, Patrick E. Farrell, Andrea Medaglia +1
We develop a unified kinetic theory for ordered fluids, which systematically extends the phase space with the appropriate generalized angular momenta. Our theory yields a uniquely…