Given velocity vector {\vec {u}}=(u,v,w) the pathlines are defined as curves {\vec {r}}_s(t) = \big( \, x(s), \, y(s), \, z(s) \, \big) parametrized by parameter s:
{dx_{S} \over u} ={dy_{S} \over v}={dz_{S} \over w} |
Given velocity vector {\vec {u}}=(u,v,w) the pathlines are defined as curves {\vec {r}}_s(t) = \big( \, x(s), \, y(s), \, z(s) \, \big) parametrized by parameter s:
{dx_{S} \over u} ={dy_{S} \over v}={dz_{S} \over w} |