Beyond pressureless gas dynamics: quadrature-based velocity moment models

Beyond pressureless gas dynamics : Quadrature-based velocity moment models

A quadrature-based moment method for gas-particle flows

Gas-particle flows are involved in various industrial applications in the energy, oil and gas fields, like coal gasification, production of light hydrocarbons by fluid catalytic cracking, catalytic combustion and different treatments aiming to reduce or eliminate pollutants. In addition, gas-particle flows take part to interesting natural phenomena, like volcanic eruptions, and their understand...

Eulerian quadrature-based moment models for dilute polydisperse evaporating sprays

Dilute liquid sprays can be modeled at the mesoscale using a kinetic equation, namely the Williams-Boltzmann equation, containing terms for spatial transport, evaporation and fluid drag. The most common method for simulating the Williams-Boltzmann equation uses Lagrangian particle tracking wherein a finite ensemble of numerical “parcels” provides a statistical estimate of the joint surface area...

Probabilistic Model Associated with the Pressureless Gas Dynamics

Using a method of stochastic perturbation of a Langevin system associated with the non-viscous Burgers equation we construct a solution to the Riemann problem for the pressureless gas dynamics describing sticky particles. As a bridging step we consider a medium consisting of noninteracting particles. We analyze the difference in the behavior of discontinuous solutions for these two models and t...

Numerical Approximations of Pressureless and Isothermal Gas Dynamics

We study several schemes of rst or second-order accuracy based on kinetic approximations to solve pressureless and isothermal gas dynamics equations. The pressureless gas system is weakly hyperbolic, giving rise to the formation of density concentrations known as delta-shocks. For the isothermal gas system, the innnite speed of expansion into vacuum leads to zero timestep in the Godunov method ...