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

"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.

Collision time for moving balls is independent of constant external field.

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)

Discrete-time evolution: Evolve fluid for num_collisions collisions. Both sphere–sphere and sphere–wall collisions are counted as collisions.

Returns post-collision states, times at which collisions occur, and collision types.

Flow ball for a time t

Flow ball for a time t

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.

Generates allowed ball positions and uniform velocities.

Normal vector at point x on sphere