5 papers
First-order hyperbolic formulation of the pure tetrad teleparallel gravity theory
Ilya Peshkov, Héctor Olivares, Evgeniy Romenski
This paper presents a derivation of a first-order reduction and 3+1 decomposition of the teleparallel equivalent of general relativity (TEGR) in the pure-tetrad formulation (no spi…
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…
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…