| Grant number: | 15/04548-6 |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |
| Start date: | May 01, 2015 |
| End date: | September 30, 2015 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Applied Mathematics |
| Principal Investigator: | José Alberto Cuminato |
| Grantee: | Rafael Alves Figueiredo |
| Supervisor: | Manuel António Moreira Alves |
| Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
| Institution abroad: | Universidade do Porto (UP), Portugal |
| Associated to the scholarship: | 11/09194-7 - Numerical simulation of the Weissenberg effect, BP.DR |
Abstract Numerical simulations of viscoelastic multiphase flows have great academic impact in the development of robust numerical techniques able to predict the flow behavior accurately, this in addition to its industrial importance due to the many applications involving this type of flow. The challenges encountered in simulating viscoelastic multiphase flows are many, of which we mention the solution of the Navier-Stokes equations in complex geometries and the correct choice of the constitutive equation to correctly represent the fluid. Besides these we also need to represent and update the interface, calculate surface tension and be alert to the numerical stability problem when dealing with high elasticity flows. Therefore we intend in this research proposal to improve and implement a methodology able to simulate viscoelastic multiphase flow with high elasticity. We also intend to perform a numerical analysis of some complex viscoelastic flows in the presence of interfacial forces, including the rod-climbing problem and the rising of a bubble in the viscoelastic fluid. We believe that in the end of this internship, we will obtain relevant scientific results and achieve all the objectives of the main research project. In the main project a preliminary version of the code was built to simulate viscoelastic two phase flows. However it is still necessary to improve the methodology to simulate flows with high Weissenberg numbers. This problem is known as High Weissenberg Number Problem (HWNP) and is currently the main focus of the stage. (AU) | |
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