PIC方法以及FDM方法
A polynomial Particle-in-cell method
related work
Finite difference method FDM
- The initial velocity field is known and divergence free
- Coordinates of a set of marker particles is known - showing which regions are fluid and which are not fluid
- Pressure field is calculated so that the rate of change of the divergence of velocity is zero, which requires the solution of Poisson’s Equation - which can be done via an SOR method
- Two components of acceleration are calculated
- Marker particles move according to the velocity field
- Adjustments are made for passage of marker particles across cell boundaries - i.e. the velocity changes when a cell is emptied and filled with fluid
The marker particles are not like the particle-in-cell method, i.e. the marker particles do not participate in the calculation, where as in the particle-in-cell method, they do.