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Waves with cubic symmetry on a sphere

Solution of the wave equation on a sphere. Reflecting obstacles have been placed around the vertices of a cube. The initial state is composed circular waves concentrated at the centers of the faces of the cube, and on the midpoints of its edges. The colors and radial coordinate represent the wave height and averaged wave energy.

Waves in a Julia set on the Riemann sphere, 2d projection

A solution of the wave equation in a domain on the Riemann sphere, which is given by an approximation of a Julia set with parameter 0.37468 + 0.21115 i. The initial state is given by two circular waves, with opposite longitudes and positive latitude, and opposite sign. The video shows an equirectangular projection of the sphere.

A meteor impact in the North Atlantic

This is a simulation of the wave equation on a sphere, with reflecting boundary conditions given by the Earth’s continents. The initial state is a circular wave concentrated around a point in the Atlantic Ocean. The point of view rotates around the sphere in the course of the simulation, moving towards the east (which is opposite the Earth’s rotation).

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