Projection method

TL;DR: In this paper, a series of numerical issues related to the analysis and implementation of fractional step methods for incompressible flows are addressed, and the essential results are summarized in a table which could serve as a useful reference to numerical analysts and practitioners.

TL;DR: An adaptive mesh projection method for the time-dependent incompressible Euler equations is presented and second-order convergence in space and time is demonstrated on regular, statically and dynamically refined grids.

TL;DR: In this paper, a new formulation for enforcing incompressibility in Smoothed Particle Hydrodynamics (SPH) is introduced, which uses a fractional step with the velocity field integrated forward in time.

TL;DR: In this article, the authors consider the accuracy of projection method approximations to the initial-boundary-value problem for the incompressible Navier-Stokes equations and present an improved projection algorithm which is fully second-order accurate.

TL;DR: A level set method for capturing the interface between two fluids is combined with a variable density projection method to allow for computation of a two-phase flow where the interface can merge/break and the flow can have a high Reynolds number.