10 papers
Hydrodynamic Limit of a Viscous BGK Model of the Boltzmann Equation
Gabriella Puppo, Thomas Rey, Tommaso Tenna
In this paper, we investigate a viscous regularization for the BGK model of the Boltzmann equation and its hydrodynamic limit. First, we establish rigorous convergence toward the v…
A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations
Denise Aregba-Driollet, Thomas Bellotti, Roberto Natalini +1
We introduce a second-order accurate vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes system, inspired by a discrete-velocity kinetic approximation proposed…
Long-time behavior of multi-step Finite Difference schemes with boundary via steepest descent and analytic combinatorics
Thomas Bellotti, Tommaso Tenna
We demonstrate how steepest descent arguments and singularity analysis from analytic combinatorics allow for an accurate description of the behavior of linear numerical schemes --…
A Coupled IMEX Domain Decomposition Method for High-Order Time Integration of the ES-BGK Model of the Boltzmann Equation
Domenico Caparello, Tommaso Tenna
In this paper, we propose a high-order domain decomposition method for the ES-BGK model of the Boltzmann equation, which dynamically detects regions of equilibrium and non-equilibr…
Relaxation Schemes for Flows in Networks: Application to Shallow Water and Blood Flow Equations
Tommaso Tenna
A numerical scheme of relaxation type is proposed to approximate hyperbolic conservation laws in canal networks. Physical conditions at the junction are given and a novel strategy…
Numerical study on a multi-dimensional pressureless Euler-type model with non-local interactions and chemotaxis for collective cell migration
Marta Menci, Roberto Natalini, Tommaso Tenna
In this paper we propose a numerical study of macroscopic models for collective cell migration, focusing on a multi-dimensional pressureless Euler-type model with non-local interac…
Formal derivation of an isentropic two-phase flow model from the multi-species Boltzmann equation
Gabriella Puppo, Thomas Rey, Tommaso Tenna
Starting from the multi-species Boltzmann equation for a gas mixture, we propose the formal derivation of the isentropic two-phase flow model introduced in [Romenski, E., and Toro,…
Projective integration schemes for nonlinear degenerate parabolic systems
Tommaso Tenna
A general high-order fully explicit scheme based on projective integration methods is here presented to solve systems of degenerate parabolic equations in general dimensions. The m…
Numerical modeling of flocking dynamics with topological interactions
Marta Menci, Thierry Paul, Stefano Rossi +1
In this paper, we propose a numerical investigation of topological interactions in flocking dynamics. Starting from a microscopic description of the phenomena, mesoscopic and macro…
The Boltzmann equation for a multi-species inelastic mixture
Thomas Rey, Tommaso Tenna
A granular gas is a collection of macroscopic particles that interact through energy-dissipating collisions, also known as inelastic collisions. This inelasticity is characterized…