Submitted by Nils Berglund on
Solution of the wave equation on a sphere. Reflecting obstacles have been placed around the vertices of a cube. The initial state is a set of circular waves of alternating sign, concentrated at the centers of the faces of the cube and on the centers of its edges. The video shows an equirectangular projection.
Submitted by Nils Berglund on
Solution of the wave equation on a sphere. Reflecting obstacles have been placed around the vertices of a regular octahedron. The initial state is a set of circular waves of alternating sign, concentrated at the centers of the faces of the octahedron. The video shows an equirectangular projection.
Submitted by Nils Berglund on
Solution of the wave equation on a sphere. Reflecting obstacles have been placed around the vertices of a regular dodecahedron. The initial state is a set of circular waves concentrated at the centers of the faces of the dodecahedron. The video shows an equirectangular projection.
Submitted by Nils Berglund on
Solution of the wave equation on a sphere. Reflecting obstacles have been placed around the vertices of a regular icosahedron. The initial state is a set of circular waves concentrated at the centers of the faces of the icosahedron. The video shows an equirectangular projection.
Submitted by Nils Berglund on
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.
Submitted by Nils Berglund on
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.
Submitted by Nils Berglund on
A solution of the wave equation in a domain on the Riemann sphere, which is given by the complement of an approximation of a Julia set with parameter -0.77145 -0.10295 i. The initial state is given by two circular waves, with opposite longitudes and zero latitude, and opposite sign.
Submitted by Nils Berglund on
Solution of the wave equation on a sphere. Reflecting obstacles have been placed around the vertices of a regular octahedron. The initial state is a set of circular waves concentrated at the centers of the faces of the octahedron. The colors and radial coordinate represent the wave height and averaged wave energy.
Submitted by Nils Berglund on
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).
Submitted by Nils Berglund on
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.