FixedPlane{N,T}

Fixed N-dimensional hyperplane.

• p: point on the plane
• n: normal vector

Hard sphere fluid in N dimensions

Movable ball in N dimensions

evolve!(fluid::HardSphereFluid, δt, final_time)

Calculate positions and velocities at times up to final_time, spaced by δt.

evolve!(fluid::HardSphereFluid, times)

Time evolution, calculating positions and velocities at given times.

evolve!(fluid::HardSphereFluid, num_collisions::Integer)

Evolve fluid for num_collisions collisions (sphere–sphere and sphere–wall collisions are counted).

Returns positions and post-collisions velocities, as well as times at which collisions occur and collision type.

Generate initial condition for balls.

Uses random sequential deposition: place a disc at a time and check that it doesn't overlap with any previously placed disc.

"Rectangular" box in N dimensions.

lower and upper contain the lower and upper bounds in each dimension.

Carry out collision assuming already at moment of collision

Assumes b1 and b2 are touching

Elastic collision of ball with FixedPlane. The ball is assumed to be touching the FixedPlane.

Flow ball for a time t

Normal vector at point x on sphere