Abstract
Multiphysics and coupled problems, such as fluid-structure interactions and multiphase flows, are described by partial differential equations of different nature or with discontinuous coefficients. The computational domain is partitioned into several regions, which may evolve in time. Consequently, the numerical discretization of such problems requires an accurate representation of the geometry: the design of meshes taking into account the presence of interfaces may be challenging and computational expensive.
In this talk, we present the main features of popular numerical approaches for interface problems (e.g. Arbitrary Lagrangian-Eulerian formulation, level set and fictitious domain methods) and current advances in the field by the NumPDE group in KAUST.
Brief Biography
Fabio Credali obtained the Ph.D. in Applied Mathematics and Computational Sciences at KAUST in cotutelle with the Joint Ph.D. program in Computational Mathematics at Universita` di Pavia (Italy) and Universita` della Svizzera Italiana (Switzerland) under the supervision of Daniele Boffi and Silvia Bertoluzza.