Implicit preconditioned numerical schemes for the simulation of three-dimensional barotropic flows

摘要: Starting from a specific industrial problem related to the propellant flow within liquid rocket engine, numerical method for simulating three-dimensional, generic barotropic flows in rotating frames is developed. A novel finite volume compressible approach unstructured grids proposed, suitably preconditioned accurately dealing with nearly-incompressible flows. The time-advancing performed by novel, generic, linearized implicit scheme. constructive procedure solving one-dimensional Riemann associated convex state law presented as well. All proposed ingredients are validated against exact solutions or three-dimensional experimental data complex, also involving cavitation phenomena.