The Repeated Replacement Method: A Pure Lagrangian Meshfree Method for Computational Fluid Dynamics
Figure 7
Eulerian description of fluid flow.
In the Eulerian description of fluid flow, the fluid moves through stationary cells. Consider a global coordinate system divided into three cells c1, c2, and c3. The fluid is traveling rightwards with velocity u. In panel A at time t1, a measurement at point xm1 will show the density ρ and pressure p of cell c1. In panel B at a later time t2 = (xm2– xm1)/u, we measure the same density and pressure at point xm2 because the fluid has moved to the right by one cell width.