NOVA MATH – UNIDEMI Talks
Date | Time: February 21, 2024 | 14h00 – 15h00
Location: Building VII, Room 1.11
14:00 – 14:15
Moisés Brito, Department of Mechanical and Industrial Engineering, UNIDEMI
Investigation of wave-structure interaction with mesh-based and mesh-free simulation methods
Abstract: The focus of this talk will be on the application of both mesh-based and mesh-free numerical methods to solve multi-physics problems, such as wave-structure interaction. As a mesh-based technique, the Finite Volume Method (FVM) method is employed for turbulent flow and small motion/deformation of the bodies. For violent hydrodynamics and large motion/deformation, a meshless technique, Smoothed Particle Hydrodynamics (SPH) methods, that describes a fluid by replacing its continuum properties with locally smoothed quantities at discrete Lagrangian locations, is used.
14:15 – 14:30
Nuno Martins, Department of Mathematics, NOVA MATH
Methods of fundamental solutions for boundary value problems
Abstract: Numerical methods for boundary value problems involving partial differential problems (PDEs) play a major role in the engineering sciences. Perhaps the best well known methods for PDEs are based on finite difference discretizations (FDM). Then, the finite element methods (FEM) were developed and showed some advantages over the FDM and thus became one of the most used numerical solver for PDEs. However, elaborate discretizations of the domain are required and, for some problems, the performance of FDM methods is poor when compared to other methods. Some of these methods do not need the construction of a mesh structure and can be easily implemented.
In this talk we will discuss methods based on fundamental solutions. These meshfree methods became popular due to some easy computational implementation and allowing a smooth approximation inside the domain of interest.
14:30 – 15:00
Discussion