85 citations · 171 across the 7 of their papers we have counts for
3 papers · 1 filter
Semi-implicit Lagrangian Voronoi Approximation for the incompressible Navier-Stokes equations
Ondřej Kincl, Ilya Peshkov, Walter Boscheri
We introduce Semi-Implicit Lagrangian Voronoi Approximation (SILVA), a novel numerical method for the solution of the incompressible Euler and Navier-Stokes equations, which combin…
On numerical methods for hyperbolic PDE with curl involutions
Michael Dumbser, Simone Chiocchetti, Ilya Peshkov
In this paper we present three different numerical approaches to account for curl-type involution constraints in hyperbolic partial differential equations for continuum physics. Al…
High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension
Simone Chiocchetti, Ilya Peshkov, Sergey Gavrilyuk +1
In this work, we introduce two novel reformulations of a recent weakly hyperbolic model for two-phase flow with surface tension. In the model, the tracking of phase boundaries is a…