263 citations · 631 across the 29 of their papers we have counts for
13 papers · 1 filter
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…
A posteriori subcell finite volume limiter for general PNPM schemes: applications from gasdynamics to relativistic magnetohydrodynamics
Elena Gaburro, Michael Dumbser
In this work, we consider the general family of the so called ADER PNPM schemes for the numerical solution of hyperbolic partial differential equations with \textit{arbitrary} high…
A simple but efficient concept of blended teaching of mathematics for engineering students during the COVID-19 pandemic
Saray Busto, Michael Dumbser, Elena Gaburro
We present a simple but efficient concept for the realization of blended teaching of mathematics and its applications in theoretical mechanics that was conceived, tested and implem…
Curl constraint-preserving reconstruction and the guidance it gives for mimetic scheme design
Dinshaw S. Balsara, Roger Käppeli, Walter Boscheri +1
Several important PDE systems, like magnetohydrodynamics and computational electrodynamics, are known to support involutions where the divergence of a vector field evolves in diver…
A unified first order hyperbolic model for nonlinear dynamic rupture processes in diffuse fracture zones
Alice-Agnes Gabriel, Duo Li, Simone Chiocchetti +4
Earthquake fault zones are more complex, both geometrically and rheologically, than an idealised infinitely thin plane embedded in linear elastic material. To incorporate nonlinear…
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…