An implicit low-diffusive HLL scheme with complete time linearization: Application to cavitating barotropic flows

摘要: A numerical method for generic barotropic flows is presented, together with its application to the simulation of cavitating flows. homogeneous-flow cavitation model indeed considered, which leads a state equation. The continuity and momentum equations compressible are discretized through mixed finite-element/finite-volume approach, applicable unstructured grids. P1 finite elements used viscous terms, while volumes convective ones. fluxes computed by shock-capturing schemes ad-hoc preconditioning avoid accuracy problems in low-Mach regime. HLL flux function proposed, an anti-diffusive term introduced counteract contact discontinuities typical this class schemes, maintaining simplicity. Second-order space obtained MUSCL reconstruction. Time advancing carried out implicit linearized scheme. For HLL-like two different time linearizations considered; first one upwind part frozen time, second variation taken into account. proposed ingredients validated simulations flow configurations, viz. Blasius boundary layer, Riemann problem, quasi-1D nozzle around hydrofoil mounted tunnel, both non-cavitating conditions. Roe also considered comparison. It shown that scheme actually effective obtain good (similar scheme) discontinuities. Moreover, more complete linearization key ingredient largely improve stability efficiency