1965/12/01 by Francis H. Harlow, J. Eddie Welch · 61 citations
Engineering · #Lattice Boltzmann Simulation Studies #Fluid Dynamics and Vibration Analysis #Fluid Dynamics Simulations and Interactions
paper · doi:10.1063/1.1761178
A new technique is described for the numerical investigation of the time-dependent flow of an incompressible fluid, the boundary of which is partially confined and partially free. The full Navier-Stokes equations are written in finite-difference form, and the solution is accomplished by finite-time-step advancement. The primary dependent variables are the pressure and the velocity components. Also used is a set of marker particles which move with the fluid. The technique is called the marker and cell method. Some examples of the application of this method are presented. All non-linear effects are completely included, and the transient aspects can be computed for as much elapsed time as desired.