19 citations · 55 across the 11 of their papers we have counts for
7 papers · 1 filter
Pressure-equilibrium-preserving and fully conservative discretization of compressible flow equations for real and thermally perfect gases
Gennaro Coppola, Alessandro Aiello, Carlo De Michele
Numerical simulations of compressible real-fluid flows are notoriously plagued by spurious pressure oscillations arising in regions of abrupt flow variations. As a possible remedy,…
Entropy-stable discretizations for the compressible Euler equations using simple adaptive averages
Carlo De Michele, Ayaboe K. Edoh
Entropy stabilization of the compressible Euler system is achieved by adapting the averages that are applied to the density and internal energy variables. The approach achieves non…
Formulation of entropy-conservative discretizations for compressible flows of thermally perfect gases
Alessandro Aiello, Carlo De Michele, Gennaro Coppola
This study proposes a novel spatial discretization procedure for the compressible Euler equations that guarantees entropy conservation at a discrete level for thermally perfect gas…
Novel Pressure-Equilibrium and Kinetic-Energy Preserving fluxes for compressible flows based on the harmonic mean
Carlo De Michele, Gennaro Coppola
Employing physically-consistent numerical methods is an important step towards attaining robust and accurate numerical simulations. When addressing compressible flows, in addition…
Entropy conservative discretization of compressible Euler equations with an arbitrary equation of state
Alessandro Aiello, Carlo De Michele, Gennaro Coppola
This study proposes a novel spatial discretization procedure for the compressible Euler equations which guarantees entropy conservation at a discrete level when an arbitrary equati…
Asymptotically entropy-conservative and kinetic-energy preserving numerical fluxes for compressible Euler equations
Carlo De Michele, Gennaro Coppola
This paper proposes a hierarchy of numerical fluxes for the compressible flow equations which are kinetic-energy and pressure equilibrium preserving and asymptotically entropy cons…
Numerical treatment of the energy equation in compressible flows simulations
Carlo De Michele, Gennaro Coppola
We analyze the conservation properties of various discretizations of the system of compressible Euler equations for shock-free flows, with special focus on the treatment of the ene…