B. D. Nichols

TL;DR: In this paper, the concept of a fractional volume of fluid (VOF) has been used to approximate free boundaries in finite-difference numerical simulations, which is shown to be more flexible and efficient than other methods for treating complicated free boundary configurations.

TL;DR: In this article, complete free surface stress conditions have been incorporated into a numerical technique for computing transient, incompressible fluid flows, and an easy to apply scheme, based on a new surface pressure interpolation, permits the normal stress to be applied at the correct free surface location.

TL;DR: In this paper, the Navier-Stokes equations are solved by a solution algorithm based on the Marker-and-Cell method, and the flow may be calculated around variously shaped and spaced obstacles that are fully submerged or penetrate the surface.

TL;DR: A simple modification is described that may be used to add limited compressibility effects to incompressible hydrodynamics computer codes and it is shown that the use of an artificially reduced speed of sound is not a good approximation for low speed fluid problems.