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Modeling Two-Phase Water Hammer Flow Using Shock-Capturing Scheme


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DOI: https://doi.org/10.15866/ireme.v15i8.20978

Abstract


This article focuses on simulating two-phase water hammer flow. A mathematical formulation has been pointed out to describe the transient one-dimensional homogeneous flow, modelled by gas-liquid mixture flow through an elastic pipe. The governing equations obtained from conservation laws have been carried out. Richtmyer two steps scheme stabilized by the flux corrected transport method have been investigated in the numerical simulations. Despite the fact that the conservative form of the equations gives good results in the simulation, it is useful to present the comparison between the numerical solutions of conservative, semi-conservative and non-conservative forms of equations during the simulation in order to legitimate these approximations often countered and used in such equations. A comparison between obtained results and experimentally reported data indicates that even with non-conservative form, the methods have been in good agreement with experimental observations and are better than the method of characteristics widely used in numerical computation describing water hammer phenomena.
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Keywords


Flux Corrected Transport (FCT); Lax-Wendroff; Richtmeyer; Transient Flow; Water Hammer

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References


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