178 citations · 922 across the 34 of their papers we have counts for
35 papers
A numerical method based on quasi-Lagrangian Voronoi cells for two-phase flows with large density contrast
Ondřej Kincl, Ilya Peshkov, Walter Boscheri
In this work, we use a moving Voronoi and sharp interface approach for simulating two-phase flows. At every time step, the mesh is generated anew from Voronoi seeds that behave as…
Variational derivation and compatible discretizations of the Maxwell-GLM system
Michael Dumbser, Alessia Lucca, Ilya Peshkov +1
We present a novel variational derivation of the Maxwell-GLM system, which augments the original vacuum Maxwell equations via a generalized Lagrangian multiplier approach (GLM) by…
Semi-Implicit Lagrangian Voronoi Approximation for Compressible Viscous Fluid Flows
Ondřej Kincl, Ilya Peshkov, Walter Boscheri
This paper contributes to the recent investigations of Lagrangian methods based on Voronoi meshes. The aim is to design a new conservative numerical scheme that can simulate comple…
High-order discontinuous Galerkin schemes with subcell finite volume limiter and adaptive mesh refinement for a monolithic first-order BSSNOK formulation of the Einstein-Euler equations
Michael Dumbser, Olindo Zanotti, Ilya Peshkov
We propose a high order discontinuous Galerkin (DG) scheme with subcell finite volume (FV) limiter to solve a monolithic first--order hyperbolic BSSNOK formulation of the coupled E…
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…
A unified SHTC multiphase model of continuum mechanics
Davide Ferrari, Ilya Peshkov, Evgeniy Romenski +1
In this paper, we present a unified nonequilibrium model of continuum mechanics for compressible multiphase flows. The model, which is formulated within the framework of Symmetric…