In recent years there have been significant developments in the development of stable and
accurate finite element procedures for the numerical approximation of a wide range of fluid …

A conservative method of level set type for moving interfaces in divergence free velocity
fields is presented. The interface is represented implicitly by the 0.5 level set of a function Φ …

In this paper, we continue to develop and study the conservative level set method for
incompressible two phase flow with surface tension introduced in [J. Comput. Phys. 210 …

This work describes a new finite element projection method for the computation of
incompressible viscous flows of nonuniform density. One original idea of the proposed …

The objective of this paper is to analyze the pressure stability of fractional step finite element
methods for incompressible flows that use a pressure Poisson equation. For the classical …

This work investigates the proper choices of spatial approximations for velocity and pressure
in fractional‐step projection methods. Numerical results obtained with classical finite …

A new fractional time-stepping technique for solving incompressible flows with variable
density is proposed. The main feature of this method is that, as opposed to other known …

This paper provides an analysis of a fractional-step projection method to compute
incompressible viscous flows by means of finite element approximations. The analysis is …

Fractional‐step methods solve the unsteady Navier–Stokes equations in a segregated
manner, and can be implemented with only a single solution of the momentum/pressure …

This paper provides a convergence analysis of a fractional-step method to compute
incompressible viscous flows by means of finite element approximations. In the proposed …