The next seminar “Modelling of materials – theory, model reduction and efficient numerical methods” will take place on Wednesday from 9:00 till 10:00 in the room K3. The talk will be given by Raul Ortega. Please see the details below.
Speaker: Raul Ortega
Title: Numerical treatment of planetary migration in protoplanetary discs of gas and dust: multifluid scheme
Abstract: Protoplanetary discs (PPDs) are composed of a gaseous medium and dust grains orbiting a young star. In general, the dynamics of this mixture is complex, and self-consistent calculations including the coupling between different species are required to realistically solve models of planetary migration that can help to understand current observations. In the last decades, emphasis has been placed on hydrodynamic algorithms based on finite-difference upwind, dimensionally split methods, due to their high degree of precision and not so high computational cost to solve the set of continuity and momentum equations that govern the dynamics of protoplanetary discs. Here, we briefly present how the FARGO3D multifluid (Magneto)hydrodynamic code works, whose numerical treatment of the equations is based on the finite difference scheme. FARGO3D can run on either graphical processing units (GPUs) or central processing units (CPUs), achieving large speed-up with respect to CPU cores and is focused on the physics of protoplanetary discs and planet–disc interactions. In addition, we present the results of some numerical models of the migration of planets embedded in protoplanetary disks formed of gas and different species of dust.