A non-oscillatory face-centred finite volume method for compressible flows

This work presents the face-centred finite volume (FCFV) paradigm for simulation of compressible flows. The FCFV method defines unknowns at face barycentre and uses a hybridisation procedure to eliminate all degrees freedom inside cells. In addition, Riemann solvers are defined implicitly within expressions numerical fluxes. resulting methodology provides first-order accurate approximations conservative quantities, i.e. density, momentum energy, as well viscous stress tensor heat flux, without need any gradient reconstruction procedure. Hence, solver preserves accuracy approximation in presence distorted highly stretched cells, providing insensitive mesh quality. is capable constructing non-oscillatory sharp discontinuities resorting shock capturing or limiting techniques. For flows low Mach number, robust computing solutions incompressible limit introducing specific pressure correction strategies. A set 2D 3D benchmarks external presented validate different flow regimes, from inviscid laminar flows, transonic subsonic demonstrating its potential handle realistic scenarios.