Numerical 3D Simulation of Safety Valve Gas Dynamics
DOI:
https://doi.org/10.22213/2413-1172-2018-4-174-181Keywords:
gas dynamics, numerical methods, 3D simulation, Godunov’s scheme, safety valve, difference meshesAbstract
A model of gas dynamic processes in direct operated safety valves, designed to ensure the safety of pipelines and pressure vessels, is considered. The simulation is based on S. K. Godunov control volume method and difference scheme in a three-dimensional formulation. Internal space of the valve is divided into two blocks, in each of which a structured difference mesh is constructed. The mesh in the first block is orthogonal. Gas parameters at the boundaries of control volumes are determined on the basis of self-similar solution of the problem of breakdown of an arbitrary discontinuity. To solve the problem with subsequent restoration of velocity vector components, gas dynamic variables are formed through vector transformations in local coordinate system at each face of the control volume. The implemented numerical method of non stationary 3D gas dynamics analysis enables to discover the spatial structure of the flow in the safety valve and its quantitative characteristics (pressure, density, velocity, temperature). Analysis of calculation results proves that the flow beneath the disc bottom is close to axisymmetric. Comparison of calculation results for axisymmetric and 3D formulations indicates that for given conditions the integral characteristic (gas dynamic force) can be calculated in axisymmetric formulation with the appropriate choice of equivalent configuration of the internal contour of the valve.References
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