Advanced numerical modelling and simulation of vesicle dynamics using phase-field and isogeometric analysisSeminars@DEM - Navid Valizadeh (Leibniz University Hannover)

"Advanced numerical modelling and simulation of vesicle dynamics using phase-field and isogeometric analysis" - January 31, 2025, Friday, 3:00 pm, Pavilhão de Mecânica II, amphitheatre AM

Date: January 31, 2025, Friday
Time: 3:00 pm
Place: Pavilhão de Mecânica II, amphitheatre AM

• Speaker: Navid Valizadeh (Faculty of Mathematics and Physics, Leibniz University Hannover)

• Title: "Advanced numerical modelling and simulation of vesicle dynamics using phase-field and isogeometric analysis"

• Abstract:

In this talk, I will delve into numerical techniques for modelling and simulating vesicles using phase-field and isogeometric analysis methods. Vesicles, which are fluid-filled lipid bilayer membranes, play a crucial role in various biological processes and have significant applications in drug delivery, biomolecule production, and the creation of artificial cell-like systems. I will begin by discussing the phase-field Navier-Stokes model for vesicle hydrodynamics, focusing on vesicle doublets in incompressible fluid flow. This model effectively captures the complex interactions between vesicles and the surrounding fluid, taking into account membrane bending, tension forces, and surface inextensibility. Following this, I will demonstrate how this model can be extended to study multicomponent vesicles. I will present the development of a thermodynamically-consistent phase-field model aimed at investigating the hydrodynamics of inextensible multicomponent vesicles in various fluid flows. This comprehensive model combines the Navier-Stokes equations for fluid dynamics, the Cahn-Hilliard equations for material distribution, and a nonlinear advection-diffusion equation for vesicle membrane evolution. Utilizing a residual-based variational multiscale method and a standard Galerkin finite element framework, we solve the model with an implicit, monolithic scheme to enhance accuracy and stability. I will share key results from two-dimensional and three-dimensional simulations of multicomponent vesicles in shear and Poiseuille flows, both with and without obstructions. Additionally, I will discuss a phase-field constrained optimization problem related to the morphological evolution of vesicles in electrical fields, showing how electrical fields influence vesicle shape and dynamics. By leveraging isogeometric analysis for greater precision, these models provide a robust framework for simulating the complex behaviours of multicomponent vesicles under a variety of biophysical conditions.

• Short Biographic Note:

Dr. Valizadeh completed his Ph.D. with the highest distinction (summa cum laude) at Bauhaus University Weimar, Germany, in 2021, which included a year as a visiting scholar at University of California San Diego, USA. Following his doctorate, he joined Leibniz University Hannover as a postdoctoral researcher and lecturer in the Faculty of Mathematics and Physics, where he continues to teach and supervise Ph.D. students. Dr. Valizadeh has been the lead scientist on several high-impact research projects, supported by prestigious funding from the European Research Council (ERC), the German Research Foundation (DFG), and Marie Curie Actions. His research concentrates on computational mechanics, with a particular focus on developing numerical methods for multiphysics problems. His key areas of expertise include phase-field modelling, computational fluid-structure interaction, isogeometric analysis, biomechanics, and the study of coupled surface-bulk high-order partial differential equations (PDEs).

This is another Seminar of the "Seminars@DEM" cycle.
Next Seminar, February 28, 2025, Thursday, 3:00 pm.