This paper is concerned with the numerical solution of the unified first order hyperbolic
formulation of continuum mechanics recently proposed by Peshkov and Romenski [110] …

We discuss a pure hyperbolic alternative to the Navier–Stokes equations, which are of
parabolic type. As a result of the substitution of the concept of the viscosity coefficient by a …

In this paper we first review the development of high order ADER finite volume and ADER
discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in …

Continuum mechanics with dislocations, with the Cattaneo-type heat conduction, with mass
transfer, and with electromagnetic fields is put into the Hamiltonian form and into the form of …

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 …

This study investigated the effects of two oscillating fins on the heat transfer rate and flow
characteristics of a nanofluid inside a square enclosure. Both fins were attached to the hot …

In this paper, we propose a new unified first order hyperbolic model of Newtonian continuum
mechanics coupled with electro-dynamics. The model is able to describe the behavior of …

The reference map, defined as the inverse motion function, is utilized in an Eulerian-frame
representation of continuum solid mechanics, leading to a simple, explicit finite-difference …

A three-dimensional Eulerian method is presented for simulating dynamic systems
comprising multiple compressible solid and fluid components where internal boundaries are …

We present a new cell-centered Lagrangian scheme on unstructured mesh for
hyperelasticity. It is based on the recently proposed Glace scheme [11] for compressible gas …