@Article{JCM-18-5,
author = {Lan-Chieh, Huang},
title = {Numerical Solution of the Unsteady Incompressible Navier-Stokes Equations on the Curvilinear Half-Staggered Mesh},
journal = {Journal of Computational Mathematics},
year = {2000},
volume = {18},
number = {5},
pages = {521--540},
abstract = {<p style="text-align: justify;">In this paper, the Crank-Nicholson+component-consistent pressure correction method for the numerical solution of the unsteady incompressible Navier-Stokes equation of [1] on the rectangular half-staggered mesh has been extended to the curvilinear half-staggered mesh. The discrete projection, both for the projection step in the solution procedure and for the related differential-algebraic equations, has been carefully studied and verified. It is proved that the proposed method is also unconditionally (in $Δt$) nonlinearly stable on the curvilinear mesh, provided the mesh is not too skewed. It is seen that for problems with an out flow boundary, the half-staggered mesh is especially advantageous. Results of preliminary numerical experiments support these claims.</p>},
issn = {1991-7139},
doi = {https://doi.org/2000-JCM-9063},
url = {https://global-sci.com/article/85577/numerical-solution-of-the-unsteady-incompressible-navier-stokes-equations-on-the-curvilinear-half-staggered-mesh}
}