One of the Basque Center for Applied Mathematics’ goal is to enable effective modelling and detailed simulations of extremely large, complex systems and phenomena, which are not possible with existing simulation methods and often without High Performance Computers (HPC). Below you can see some featured simulations created by the different research groups at the center. You can also visit our Youtube channel to see more simulations.
Geometry and Tool Motion Planning for Curvature Adapted CNC Machining
Hierarchical sequence optimization for spacecraft transfer trajectories based on the employment of meta-heuristics
Description: This video shows the simulation of hierarchical sequence optimization for spacecraft transfer trajectories based on the employment of meta-heuristics. Three types of evolutionary algorithms including ìGenetic Algorithmî, ìParticle Swarm Optimizationî and ìEstimation of Distribution Algorithmsî are used in optimal guidance approach utilizing low-thrust trajectories. Different initial orbits are considered for each algorithm while the orbits are expected to have the same shape and orientation at the end of space mission.
Simulation of a wild-fire front trespassing a short firebreak
Patient-specific simulation of Cortical Spreading Depression
Multi-impulse Long-Range Space Rendezvous via Evolutionary Discretized Lambert Approach
Transfering satellites between space orbits is a challenging task. Due to the complexity of the space systems, finding optimal transfer trajectories requires efficient approaches. This video shows the simulation of the satellite motion in a space mission, where a new evolutionary algorithm is developed and utilized for the orbit transfer. The satellite performs multiple transfers between intermediate orbits until it reaches the desired destination. Novel heuristic mechanisms are used in the development of the optimization algorithm for spacecraft trajectory design. Simulation results indicate the effectiveness of the algorithm in finding optimal transfer trajectories for the satellite.
Magnetic colloids driven by a rotating magnetic field
Simulation of a monolayer of magnetic colloids rotating in an external magnetic field. The external magnetic field (blue arrows) and the permanent colloidal dipoles (orange arrows) are highlighted for some colloids. The external magnetic torque is balanced by the viscous drag which in turn controls the lag between dipoles and external magnetic field. This system, driven out of equilibrium, allows for a new class of forces that are neither attractive nor repulsive, but rather transverse. The competition between the transverse forces, mediated by the fluid, and the steric interactions control the stability of the colloidal crystal and the formation of dislocations and defects. Hydrodynamic simulations are a probe to characterize the transverse interactions in such systems.
Numerical study of the time evolution of the Talbot effect for infinite periodic diffraction grating
This video shows the propagation of the intensity of a plane wave after travelling through an infinite and periodic diffraction grating. The simulation is done using a finite elements method. It's aim is to show the time evolution and shaping of the Talbot effect.