ALTAY · Advanced Mathematical and Computational Models for Complex Multiphase Flows
6РП — Действия „Мария Кюри“
- Период
- 2006-02-01 → 2008-01-31
- Финансиране от ЕС
- 129 746 €
- Участници
- 1
- Схема
- IIF
Линиите свързват координатора с партньорите.
Накратко на български
Математическите модели на сложни многофазни потоци, като смеси от газове и течности, се изследват чрез нови термодинамични теории. Те помагат за създаването на по-точни числени методи за симулиране на поведението на тези среди.
Кратко обяснение, генерирано от езиков модел по текста на CORDIS. Оригиналът е по-долу.
Резултати накратко
Final Activity Report Summary - ALTAY (Advanced mathematical and computational models for complex multiphase flows)
The 'Advanced mathematical and computational models for complex multiphase flows' (ALTAY) project aimed to advance the mathematical and computational modelling of multiphase flows by means of a new theory concerning thermodynamically compatible systems and extended irreversible thermodynamics. A hierarchy of hyperbolic governing equations for multiphase compressible flow in conservation-law form has been developed based on the formalism for thermodynamically compatible systems of hyperbolic conservation laws. This approach enables the formulation of classes of hyperbolic conservation-form equations using generalised potentials and variables. Its core aspect is a phenomenological modelling of continuous media where by using thermodynamic laws the structure of the governing balance laws can be determined. In this context the mixture is supposed to be a continuum medium in which the multiphase flow character is taken into account. The resulting system of partial differential equations is hyperbolic and all balance equations can be cast in conservation form. The conservation form of the governing equations provides a solid basis for the development of high-order accurate numerical methods. A finite volume method based on the solution of the Riemann problem has been developed to solve equations of the proposed models. Due to the complexity of the governing equations the solution of the Riemann problem cannot be easily obtained. Therefore, the recently proposed GFORCE method that evaluates the numerical fluxes by centred numerical schemes was applied. The advantage of the GFORCE is its simplicity and robustness. The method has been implemented into a high-resolution compressible computational fluid dynamics code (CNS3D) developed by Prof. Drikakis and his collaborators in the Fluid Mechanics and Computational Sciences (FMaCS) group at Cranfield University. The code was further applied to several one- and two-dimensional test problems, including the interaction of a shock wave with a bubble, and the results were found in a good agreement with available experimental data and exact solutions. The project resulted in several journal and conference publications, some of which will appear in the open literature in the near future.
Текст от CORDIS, на английски · Данни: CORDIS, © Европейски съюз
Цел на проекта
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.
Оригинален текст от CORDIS (на английски).
Участници
- CRANFIELD UNIVERSITY · Cranfield - BedfordКоординаторОбединеното кралство
Връзки
Данни: CORDIS, © Европейски съюз