Incorporation of Fluid Compressibility into the Calculation of the Stationary Mode of Operation of a Hydraulic Device at High Fluid Pressures
Copyright policy )Incorporation of Fluid Compressibility into the Calculation of the Stationary Mode of Operation of a Hydraulic Device at High Fluid Pressures
This paper is concerned with assessing the correctness of applying various mathematical models for the calculation of the hydroshock phenomena in technical devices for modes close to critical parameters of the fluid. We study the applicability limits of the equation of state for an incompressible fluid (the assumption of constancy of the medium density) to the simulation of processes of the safety valve operation for high values of pressures in the valve. We present a scheme for adapting the numerical method of S. K. Godunov for calculation of flows of incompressible fluids. A generalization of the method for the Mie – Grüneisen equation of state is made using an algorithm of local approximation. A detailed validation and verification of the developed numerical method is provided, and relevant schemes and algorithms are given. Modeling of the hydroshock phenomenon under the valve actuation within the incompressible fluid model is carried out by the openFoam software. The comparison of the results for the weakly compressible
- Engineering (Italy) Italy
Mathematical modeling or simulation for problems pertaining to fluid mechanics, Numerical optimization and variational techniques, incompressible fluid, Navier-Stokes equations for incompressible viscous fluids, water, Gas dynamics (general theory), Finite volume methods applied to problems in fluid mechanics, Euler equations, PDEs in connection with fluid mechanics, Shock waves and blast waves in fluid mechanics, Godunov's method, Shocks and singularities for hyperbolic equations, Finite volume methods for initial value and initial-boundary value problems involving PDEs, numerical simulation, weakly compressible fluid approach, Mie-Grüneisen equation of state, Navier-Stokes equations, hydraulic device, mathematical model
Mathematical modeling or simulation for problems pertaining to fluid mechanics, Numerical optimization and variational techniques, incompressible fluid, Navier-Stokes equations for incompressible viscous fluids, water, Gas dynamics (general theory), Finite volume methods applied to problems in fluid mechanics, Euler equations, PDEs in connection with fluid mechanics, Shock waves and blast waves in fluid mechanics, Godunov's method, Shocks and singularities for hyperbolic equations, Finite volume methods for initial value and initial-boundary value problems involving PDEs, numerical simulation, weakly compressible fluid approach, Mie-Grüneisen equation of state, Navier-Stokes equations, hydraulic device, mathematical model
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