Prefer a chat interface with context about you and your work?
Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations
Centered numerical fluxes can be constructed for compressible Euler equations which preserve kinetic energy in the semi-discrete finite volume scheme. The essential feature is that the momentum flux should be of the form $f^m_\jph = \tp_\jph + \avg{u}_\jph f^\rho_\jph$ where $\avg{u}_\jph = (u_j + u_{j+1})/2$ and $\tp_\jph, f^\rho_\jph$ are {\em …