Galactic Dynamo

Illustration of a galactic dynamo generated by AI.

Project Information

This project is part of the P464 course in Plasma Physics and Magnetohydrodynamics, offered during the Spring 2024 semester at NISER Bhubaneswar.

Submitted by: Sagar Prakash Barad, Integrated MSc. SPS batch 20

Supervised by: Dr. Luke R. Chamandy, SPS, NISER

Numerical Simulations of Galactic Dynamos

Task 1: Numerical Solutions to Diffusion Equations

• Setting up the Diffusion Equation (setup)

• Solving the Diffusion Equation using Crank-Nicholson Dirichlet Boundary Condition (simulation)

• Solving the Diffusion Equation using Crank-Nicholson Neumann Boundary Condition (simulation)

Task 2: Numerical Solutions to $\alpha \Omega$ Dynamo Equation

• Setting up the Dynamo Equation (setup)

• Solving the Dynamo Equation using Crank-Nicholson Dirichlet Boundary Condition (simulation)

Task 3: Sensetivity of Solution to order of finite difference

References

[1] Shukurov, A., & Subramanian, K. 2022, Astrophysical Magnetic Fields: From Galaxies to the Early Universe, Cambridge University Press

[2] Strogatz, S. 2014, Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering (Studies in Nonlinearity), Westview Press, 2nd edn.

[3] Bradie, B. A Friendly Introduction to Numerical Analysis

[4] Atkinson, Han Elementary Numerical Analysis

[5] Burden, R. L., & Faires, J. D. 1997, Numerical Analysis, Brooks/cole

[6] Reasons to Believe. (2024). Earth: The Champion Dynamo. Reasons.org. here