Research Projects

Theoretical astrophysics strongly relies on numerical simulations to enhance our understanding of the dynamics of astrophysical systems. The mathematical modelling of such astrophysical phenomena is highly developed. The governing equations of these relativistic astrophysical systems are a compact set of coupled, time-dependent partial differential equations. Some of the variants of such equations are the relativistic hydrodynamics (RHD) equations, the relativistic magnetohydrodynamics (RMHD) equations, two fluid relativistic plasma (TFRP) equations etc. Astrophysical problems related to the formation of black holes gamma-ray bursts, core-collapse supernovae, and astrophysical jets naturally leave us with RHD or RMHD equations. In general, these PDEs do not have an analytical solution and we rely on numerical schemes. In this project, we aim to develop efficient entropy stable or thermodynamically consistent numerical methods to simulate relativistic flows. The novelty of our proposed work is that we are intended to overcome several drawbacks of the existing numerical methods for simulating these relativistic flows. The outcome of the project would further add milestones in the development of numerical methods for relativistic flows.