Numerical Fluid Dynamics Using the Particle-and-force Method

Since its original proposal in 1961, the Particle-and-Force (PAF) method for numerical fluid dynamic studies has been improved considerably and tested in a variety of new circumstances. This report, consisting of two parts, discusses at length a number of properties of the method from conceptual, practical, and experimental points of view. Part I is directly concerned with the methodology, giving in detail the procedure as it is now applied. It also includes the results of experimental calculations, the conclusions, and a discussion of extensions now being developed. Part II delves more deeply into the meaning of the particle representation of fluid dynamics through a close examination of some pertinent idealized computer experiments.