@Article{cmes.2020.08806,
AUTHOR = {Huawen Shu, Minghai Xu, Xinyue Duan, Yongtong Li, Yu Sun, Ruitian Li, Peng Ding},
TITLE = {A Staggered Grid Method for Solving Incompressible Flow on Unstructured Meshes},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {123},
YEAR = {2020},
NUMBER = {2},
PAGES = {509--523},
URL = {http://www.techscience.com/CMES/v123n2/38689},
ISSN = {1526-1506},
ABSTRACT = {A finite volume method based unstructured grid is presented to solve
the two dimensional viscous and incompressible flow. The method is based on
the pressure-correction concept and solved by using a semi-staggered grid technique. The computational procedure can handle cells of arbitrary shapes, although
solutions presented in this paper were only involved with triangular and quadrilateral cells. The pressure or pressure-correction value was stored on the vertex
of cells. The mass conservation equation was discretized on the dual cells surrounding the vertex of primary cells, while the velocity components and other
scale variables were saved on the central of primary cells. Since the semi-staggered arrangement can’t guarantee a strong coupling relationship between pressure and velocity, thus a weak coupling relationship leads to the oscillations for
pressure and velocity. In order to eliminate such an oscillation, a special interpolation scheme was used to construct the pressure-correction equation. Computational results of several viscous flow problems show good agreement with the
analytical or numerical results in previous literature. This semi-staggered grid
method can be applied to arbitrary shape elements, while it has the most efficiency
for triangular cells.},
DOI = {10.32604/cmes.2020.08806}
}