Voronoi-assisted smoothed particle hydrodynamic modelling of separated two-phase laminar flow in pipes

Date

2025-7

Author

Ergül, Muhammed Said

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Multiphase flow is the term used to describe the interacting flow of two or more distinct phases with shared interfaces within a closed system. It is a critical phenomenon in petroleum and natural gas engineering applications, playing a significant role in production, transportation, and processing operations. Understanding this concept is critical for optimizing and redesigning the systems or equipment, minimizing flow assurance issues, and ensuring safe and cost-effective operations. To predict and manage multiphase systems effectively, advanced modeling techniques, empirical correlations, and flow visualization studies are widely employed. Among these, Through the discrete mathematical representation of physical processes, numerical simulation has become a powerful instrument for resolving challenging engineering problems. This study analyzed two distinct validation problems: the Shear driven cavity problem and the Poiseuille flow example. Comparative evaluations showed that results generated by the Smoothed Particle Hydrodynamics (SPH) method closely matched both analytical solutions and outcomes obtained from commercial CFD software. These findings validate the SPH method as a highly reliable and robust mesh-free approach, capable of delivering accurate results in single-phase flow simulations. Subsequently, a two-phase Poiseuille flow scenario was investigated to assess the capability of the Smoothed Particle Hydrodynamics (SPH) method in capturing multiphase flow dynamics. Within this framework, three different density estimation strategies were applied: the summation density approach, the continuity density, and a Voronoi-assisted density estimation technique. The outcomes produced by each method were benchmarked against the analytical solution. Among these, the Voronoi-based approach yielded the highest level of accuracy, thereby underscoring its robustness and suitability for simulating low Reynolds number multiphase flows. This result highlights the potential of Voronoi-assisted SPH as a promising and reliable tool in complex fluid flow modeling.

Subject Keywords

Sph, Multiphase flow, Voronoi diagram, Mathematical modelling, Çok fazlı akış, Matematiksel modelleme

URI

https://hdl.handle.net/11511/115434

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Graduate School of Natural and Applied Sciences, Thesis