Fully-conservative contact-capturing schemes for multi-material advection

We present a number of fully-conservative, four-equation, multicomponent reconstruction schemes for the Euler equations, which have been designed to maintain both constant pressure and temperature at isothermal contact discontinuities, as is required by thermodynamic consistency. The schemes we discuss have been implemented in AWE's staggered-mesh detailed turbulence modelling code TURMOIL and also in a finite-volume Riemann-solver based code. We show results for a problem where material properties with a high contrast in adiabatic index and material specific heat lead to substantial pressure and temperature perturbations for a simple mass fraction model. The improved schemes maintain the isobaric and isothermal nature of the initial condition to numerical precision. (C) 2019 Published by Elsevier Inc.