Abstract
Type Ia supernovae (SNe Ia) play a crucial role in deciphering cosmological phenomena, including the accelerated expansion of the universe. Despite their significance, the driving mechanisms behind SNe Ia are yet to be fully confirmed. The dynamically driven double-degenerate double-detonation (D6) scenario has gained traction as the most likely explanation for nine hypervelocity galactic white dwarfs discovered by the ESA Gaia space mission. In this thesis, I will present a comparative analysis of hydrodynamical simulations of D6 SNe Ia using two leading hydrodynamical simulation frameworks: AREPO, which utilizes an unstructured, Voronoi tessellation dynamic moving mesh, and FLASH, with its structured adaptive Eulerian mesh. I will briefly describe the impact of our findings on the physical processes which give rise to SNe Ia.