An efficient semi-implicit finite volume method for axially symmetric compressible flows in compliant tubes

摘要: In the present paper a new efficient semi-implicit finite volume method for simulation of weakly compressible, axially symmetric flows in compliant tubes is presented. The fluid assumed to be barotropic and simple cavitation model also included equation state order phase transition when pressure drops below vapor pressure. discretized flow equations lead mildly nonlinear system that efficiently solved with nested Newton technique. numerical has obey only mild CFL condition based on velocity not sound speed, leading large time steps can used. scheme behaves well presence shock waves transition, as incompressible limit. approach, radial profiles therefore wall friction coefficient are directly computed from first principles. compressible regime, carefully validated against quasi-exact solutions Riemann problem, while it exact solution found by Womersley an oscillatory rigid tube regime. New finite-volume tubes.The mathematical includes cavitation.The proposed able handle all Mach number flows.Quasi-exact problem tubes.Computation shear stress