Prof. Ivan Yotov, professor from the University of Pittsburgh (USA) and SFB 1313 Mercator Fellow (research project A02), visited the Department of Hydromechanics and Modelling of Hydrosystems of the University of Stuttgart during his two-month research stay from 1 May to 1 July 2023. He was a guest in the framework of SimTech and SFB 1313. We thank him for his dedication and the fruitful joint work!
About his activities
During his two-month stay he gave:
-
the SimTech Colloquium lecture on “Mathematical and computational modeling of fluid-poroelastic structure interaction” (10 May 2023).
and
- a short course on "Discretization methods for multiphysics couplings of fluid flow and solid mechanics" (from 15 May to 14 June 2023). The short course presented an introduction to finite element and finite volume methods for Darcy flow, Stokes flow, elasticity, poroelasticity, and coupled Stokes-Darcy flows. Prof. Yotov discussed solvability, accuracy, and efficiency of the numerical methods. The focus was on structure preserving methods, e.g., methods with local mass or momentum conservation. He also presented domain decomposition methods for the efficient solution of the resulting algebraic systems, which allow for decoupling of different subdomains and different physics and are suitable for parallel computers. The course was attended by graduate students and postdocs from several different departments.
About joint research projects
- A mortar method for the coupled Stokes-Darcy problem using the MAC scheme for Stokes and mixed finite elements for Darcy (with W. Boon, D. Glaser, R. Helmig, K. Weishaupt).
- Mortar domain decomposition for coupled free fluid flow with pore network model (with D. Glaser and R. Helmig).
- Vertex-centered finite volume and mimetic finite difference methods for Darcy, Stokes, and Stokes-Darcy flows (with R. Helmig and M. Schneider).
- A fractional time step method for the Navier-Stokes equations using a second order multipoint stress mixed finite element method (with R. Helmig ang C. Arico).
In addition, he serves as a PhD student mentor for SFB 1313 doctoral researcher Melanie Lipp. He will be part of her PhD thesis committee.
In the end of his research stay, he gave an interview to doctoral researcher Ivan Buntic about his stay and his engagement for SFB 1313.