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20042021
most citedEfficient, High Accuracy ADER-WENO Schemes for Hydrodynamics and Divergence-Free Magnetohydrodynamics

263 citations · 433 across the 8 of their papers we have counts for

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physics.flu-dyn202034 cited

Simulation of non-Newtonian viscoplastic flows with a unified first order hyperbolic model and a structure-preserving semi-implicit scheme

Ilya Peshkov, Michael Dumbser, Walter Boscheri +3

We discuss the applicability of a unified hyperbolic model for continuum fluid and solid mechanics to modeling non-Newtonian flows and in particular to modeling the stress-driven s…

physics.flu-dyn2020

A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics

Walter Boscheri, Michael Dumbser, Matteo Ioriatti +2

We propose a new pressure-based structure-preserving (SP) and quasi asymptotic preserving (AP) staggered semi-implicit finite volume scheme for the unified first order hyperbolic f…

physics.flu-dyn2019

Modeling wavefields in saturated elastic porous media based on thermodynamically compatible system theory for multiphase mixtures

Evgeniy Romenski, Galina Reshetova, Ilya Peshkov +1

A two-phase model and its application to wavefields numerical simulation are discussed in the context of modeling of compressible fluid flows in elastic porous media. The derivatio…

physics.flu-dyn2018

Continuum mechanics with torsion

Ilya Peshkov, Evgeniy Romenski, Michael Dumbser

This paper is an attempt to introduce methods and concepts of the Riemann-Cartan geometry largely used in such physical theories as general relativity, gauge theories, solid dynami…

physics.flu-dyn2018

Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity

Ilya Peshkov, Walter Boscheri, Raphaël Loubère +2

The aim of this paper is to compare a hyperelastic with a hypoelastic model describing the Eulerian dynamics of solids in the context of non-linear elastoplastic deformations. Spec…