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Advanced Mathematical and Computational Models for Complex Multiphase Flows


The project aims to advance the mathematical and computational modelling of complex multiphase flows in the context of Extended Irreversible Thermodynamics theory. It is proposed to develop a set of multiphase media models and to combine these models with high-resolution and high-order numerical methods for solving the system of governing equations. This will be achieved by the combining the candidate¿s and host institution¿s expertise in the areas of mathematical multiphase flow modelling and high-resoluti on computational methods, respectively. The extended thermodynamics methods generate basic mathematical models for arbitrary number of phases, in which the governing differential equations are conservative and form a symmetric hyperbolic system. It provide s a framework to develop a mathematical theory for various initial-boundary value problems, theory of discontinuous solutions and develop accurate and robust numerical methods. The mathemical models developed here will take into account a number of irrever sible processes such as interfacial friction, energy exchange between phases, heat conduction, viscosity, and phase transition. The success of these models ultimately lies in the accurate and efficient implementation. The applicant will be able to obtain significant training by the Fluid Mechanics & Computational Science Group at Cranfield University, on high-resolution methods and related computational strategies. The applicant will collaborate with Prof Drikakis and other staff in FMCS to further de velop and numerically implement the new generation of multiphase mathematical models in a computational framework that is based on the state-of-the art high-resolution and high-order numerical methods for multi-dimensional problems. The project encompasses training, development, validation and application aspects. The computational models and methods developed during the project will be applicable to a broad range of multiphase flow problems.

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School Of Engineering
United Kingdom

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