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Project Information

Galactic Dynamo

Galactic Dynamo

Fig. 1 Illustration of a galactic dynamo. Reproduced from [6].

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#

  • Setting up the Sensetivity of Solution to order of finite difference (setup)

  • Sensetivity of Solution to order of finite difference for dynamo equation (simulation)

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

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