4 papers · 1 filter
A numerical method based on quasi-Lagrangian Voronoi cells for two-phase flows with large density contrast
OndÅej 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
OndÅej 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…
Semi-implicit Lagrangian Voronoi Approximation for the incompressible Navier-Stokes equations
OndÅej 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…