Efficient numerical solution for highly transient flows

Abstract The numerical solutions for different formulations of the conservation equations based on the dependent variables, pressure ( P ) , enthalpy ( h ) , density ( ρ ) , entropy ( s ) and flow velocity ( u ) for highly transient flows are presented. The models are each in turn applied for simulating the transient fluid flow dynamics following the rupture of a real and a number of hypothetical pipelines containing liquid, flashing liquid, two-phase and a permanent gas. In the case of the flashing liquid and two-phase pipelines, a significant reduction in the computational run time for the Phu and Psu based simulations as compared to the conventional P ρ u formulation is observed. The above effect is found to be much less pronounced for the liquid and permanent gas inventories.

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