The Moving Particle Simulation (MPS) method is an analytical method dealing with the incompressible flow, in which continuum mechanics is discretized using particles. The fundamental governing equations of the MPS method are a continuum equation and Navier-Stokes equations.
Where
: Expresses
a Lagrangian derivation
:
Velocity
:
Density
: Dynamic
viscosity
:
Pressure
: Gravity
acceleration
: The first
term, it indicates the amount of pressure change that between of particle i and
particle j
: The
second term, it indicates the viscosity that due to the difference in speed
: The third
term, it represents the acceleration acting from the all outside force
: The fourth
term, it indicates the acceleration about gravity