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physics.flu-dyn2022★ 19 cited
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…
physics.flu-dyn2022★ 34 cited
Global and local conservation of mass, momentum and kinetic energy in the simulation of compressible flow
Gennaro Coppola, Arthur E. P. Veldman
The spatial discretization of convective terms in compressible flow equations is studied from an abstract viewpoint, for finite-difference methods and finite-volume type formulatio…