A 3D FEniCSx simulation of heat diffusing through an iron sphere with a hot core. Full PDE, boundary conditions, weak form, and DOLFINx code.
Heat Diffusion in an Iron Sphere — A FEniCSx Simulation
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Numerical Methods
Solar Magnetohydrodynamics: Solving Magnetic Diffusion in a Sphere
Solving the MHD induction equation in spherical geometry with Dedalus — magnetic diffusion on the 2D sphere surface and inside a 3D conducting ball, with animated GIF simulations.
Solving the 2D Wave Equation with Spectral Methods
Using the Dedalus spectral PDE solver to simulate the 2D wave equation on a periodic domain, with animated GIF output and applications across physics, finance, and medical imaging.