In the past few decades, numerous heat conduction models extending beyond Fourier's
have been developed to account for large gradients, fast phenomena, wave propagation …

The book aims to present the recent developments in Rational Extended Thermodynamics
(RET) of gases in both classical and relativistic cases. The RET theory is a …

We introduce a simple and general framework for the construction of thermodynamically
compatible schemes for the numerical solution of overdetermined hyperbolic PDE systems …

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 …

In this paper we present a new family of semidiscrete and fully discrete finite volume
schemes for overdetermined, hyperbolic, and thermodynamically compatible PDE systems …

In this paper we propose a new reformulation of the first order hyperbolic model for unsteady
turbulent shallow water flows recently proposed in Gavrilyuk et al.(J Comput Phys 366: 252 …

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 …

In this paper, we present a unified nonequilibrium model of continuum mechanics for
compressible multiphase flows. The model, which is formulated within the framework of …

In this work we study the solution of the Riemann problem for the barotropic version of the
conservative symmetric hyperbolic and thermodynamically compatible (SHTC) two-phase …

In this paper, we present a pressure-based semi-implicit numerical scheme for a first order
hyperbolic formulation of compressible two-phase flow with surface tension and viscosity …