The Repeated Replacement Method: A Pure Lagrangian Meshfree Method for Computational Fluid Dynamics
Figure 16
Chopping pressure momentum and pressure energy vectors.
Panel A shows a single cell c1 with the right side chopped off. Panel B shows the chopped mass, momentum, energy, pressure momentum Pp, and pressure energy Ep that are now contained in the chopped cell part c1c, which will be flattened into a new cell along with any other cells chopped out by the same wavefront. The amounts of mass, momentum, and energy transferred to c1c are proportional to the width of c1c, but the amounts of pressure momentum and pressure energy transferred to c1c are proportional to the time since the creation of c1.