Project Description

This project investigates the numerical simulation of solar sunspot cycles through high-order kinematic dynamo modeling. Using the Spectral Difference with Divergence Cleaning (SDDC) method, the study solves the magnetic induction equation in three dimensions to capture the large-scale magnetic field evolution responsible for cyclic solar activity. The computational framework is designed to maintain divergence-free magnetic fields while achieving high-order accuracy on unstructured meshes, enabling robust and efficient simulations of complex magnetohydrodynamic (MHD) processes in the solar convection zone.

Benchmark configurations and parameter studies are conducted to examine magnetic field amplification, polarity reversals, and cycle periodicity under varying flow profiles representative of differential rotation and meridional circulation. The project emphasizes GPU-accelerated implementations to enhance computational efficiency and scalability. The results contribute to improved physical insight into the mechanisms driving solar magnetic cycles and provide a foundation for predictive modeling relevant to space weather forecasting and heliophysics research.