Tesis doctoral de Monica De Mier Torrecilla
The simultaneous presence of multiple fluids with different properties in external or internal flows is found in daily life, environmental problems, and numerous industrial processes, among many other practical situations. Examples are fluid-fuel interaction in enhanced oil recovery, blending of polymers, emulsions in food manufacturing, rain droplet formation in clouds, fuel injection in engines, and bubble column reactors, to name only a few. Although multi-fluid flows occur frequently in nature and engineering practice, they still pose a major research challenge from both theoretical and computational points of view. In the case of immiscible fluids, the dynamics of the interface between fluids plays a dominant role. The success of the simulation of suchflows will depend on the ability of the numerical method to model accurately the interface and the phenomena taking place on it. in this work we have focused on understanding the basic physical principles of multi-fluid flows and the difficulties that arise in their numerical simulation. We have extended the particle finite element method to problems involving several different fluids with the aim of exploiting the fact that lagrangian methods are specially well suited for tracking any kind of interfaces. We have developed a numerical scheme able to deal with large jumps in the physical properties, included surface tension, and able to accurately represent all types of discontinuities in the flow variables at the interface. The scheme is based on decoupling the nodes position, velocity and pressure variables through the picard linearization and a pressure segregation method which takes into account the interface conditions. The interface has been defined to be aligned with the moving mesh, so that it remains sharp along time. Furthermore, pressure degrees of freedom have been duplicated at the interface nodes to represent the discontinuity of this variable due to surface tension and variable viscosity, and the mesh has been refined in the vicinity of the interface to improve the accuracy of the computations. We have applied the resulting scheme to several academic and geological problems, such as the two-fluid sloshing, extrusion of viscous fluids, bubble rise and breakup, mixing of magmatic liquids and negatively buoyant jets.
Datos académicos de la tesis doctoral «Numerical simulation of multi-fluid flows with the particle finite element method«
- Título de la tesis: Numerical simulation of multi-fluid flows with the particle finite element method
- Autor: Monica De Mier Torrecilla
- Universidad: Politécnica de catalunya
- Fecha de lectura de la tesis: 29/06/2010
Dirección y tribunal
- Director de la tesis
- Sergio Idelson Barg
- Tribunal
- Presidente del tribunal: ramón Codina rovira
- roland Wí¼chner (vocal)
- facundo Del pin (vocal)
- juli? Sempere cebrian (vocal)