Theory for the Mathematical Particle Tracing Interface
The equation system solved by the Mathematical Particle Tracing interface depends on the formulation selected. In the following, the particle has a position vector
q
, a velocity vector
v
, and a momentum vector
p
.
The Mathematical Particle Tracing Interface
theory is described in this section:
•
Newtonian Formulation
•
Hamiltonian Formulation
•
Lagrangian Formulation
•
Massless Formulation
•
Particle Tracing in Rotating Frames
•
Initial Conditions: Position
•
Initial Conditions: Velocity
•
Particle-Particle Interactions
•
Auxiliary Dependent Variables
•
About the Boundary Conditions for the Particle Tracing Interfaces
•
Accumulator Theory: Domains
•
Accumulator Theory: Boundaries
•
References for the Mathematical Particle Tracing Interface