An implicit non-staggered Cartesian grid method for incompressible viscous flows in complex geometries

作者：De A K^*

来源：Sadhana : Academy Proceedings in Engineering Sciences , 2014, 39(5): 1071-1094.

DOI：10.1007/s12046-014-0269-y

• Immersed boundary
• non-staggered
• implicit
• viscous flow

A discrete forcing based Cartesian grid method is presented. The non-staggered arrangement of velocity and pressure is considered. The pressure gradient in localized discrete form is added separately with the velocity making them explicitly coupled. The governing equation is time-integrated implicitly with both linearized and non-linear forms are investigated. Both linear and bi-linear reconstruction techniques are tested for extrapolation of velocity near a complex boundary. The present method is tested for vortical flow in an inclined cavity, flow past circular and inclined square cylinder. Both homogeneous and non-homogeneous Dirichlet forcing problems are tested. The parallelized version of the method is applied to 2D-to-3D transitional flow behind a single and multiple circular cylinders. The present numerical results compare well with the previously documented results.

• 出版日期2014-10