A convergent staggered scheme for the variable density incompressible Navier-Stokes equations

@article{Latch2018ACS,
  title={A convergent staggered scheme for the variable density incompressible Navier-Stokes equations},
  author={Jean-Claude Latch{\'e} and Khaled Saleh},
  journal={Math. Comput.},
  year={2018},
  volume={87},
  pages={581-632}
}
In this paper, we analyze a scheme for the time-dependent variable density Navier-Stokes equations. The algorithm is implicit in time, and the space approximation is based on a low-order staggered non-conforming finite element, the so-called Rannacher-Turek element. The convection term in the momentum balance equation is discretized by a finite volume technique, in such a way that a solution obeys a discrete kinetic energy balance, and the mass balance is approximated by an upwind finite volume… 

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