Applied Mathematics Seminars 

Summer 2021

Seminars (unless otherwise stated) usually take place online on Tuesdays at 3.00pm on Zoom via the link https://ucl.zoom.us/j/99614222402. If you require any more information on the Applied seminars please contact Prof Jean-Marc Vanden-Broeck (e-mail: j.vanden-broeck AT ucl.ac.uk or tel: 020-7679-2835) or Prof Ilia Kamotski (e-mail: i.kamotski AT ucl.ac.uk or tel: 020-7679-3937).

Monday 27 June 2022

Speaker: Hugo Castillo Sanchez (University of São Paulo)

Title: Numerical simulation of complex fluids in hierarchical grids

In this talk, I will give a brief introduction to the HiGFlow system (HiG stands for hierarchical grids), which is new Computational Fluid Dynamics (CFD) software written in C language that was developed at the Institute of Mathematics and Computer Sciences (ICMC) from the University of Sao Paulo (USP). The system is able to simulate single and multi-phase flows of both Newtonian and Non-Newtonian fluids using a new finite difference method that was published in 2019 [1] to solve partial differential equations in hierarchical grids. 

I will also give an introduction to some of the models that were recently implemented in HiGFlow, which are used to describe the complex behaviour seen in fluids of industrial interest, such as viscoelasticity, thixotropy and shear-banding. Lastly, I will show some results of our numerical simulations carried out in HiGFlowusing different geometries (2D channels and planar expansion-contraction). 

[1] . S. Sousa, C. F. Lages, J. L. Ansoni, A. Castelo, A. Simao, A finite difference method with meshless interpolation for incompressible flows in non-graded tree-based grids, Journal of Computational Physics 396 (2019) 848–866.

Short bio:
Hugo is a postdoctoral researcher at the Institute of Mathematics and Computer Sciences (ICMC) from the University of São Paulo (USP) working in Computational Fluid Dynamics (CFD) of complex fluids. He obtained his PhD degree in Applied Mathematics at University College London (UCL) in 2019. His research interests are non-Newtonian fluid dynamics (fluids that do not behave like the standard), rheology (the science of deformation) and transport phenomena (transfer of physical quantities such as momentum, energy, and mass). Hugo is currently doing a two-week academic visit at the University of Greenwich (his visit is sponsored by the London Mathematical Society and partly funded by the QJMAM Fund for Applied Mathematics and the Sao Paulo State Research Support Foundation (FAPESP)).