A stream function implicit finite difference scheme for 2D incompressible flows of Newtonian fluids

A fourth-order compact finite difference

A fourth-order compact finite difference scheme for the steady stream function–vorticity formulation of the Navier–Stokes/Boussinesq equations

✍ Zhenfu Tian; Yongbin Ge 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 256 KB 👁 1 views

## Abstract A fourth‐order compact finite difference scheme on the nine‐point 2D stencil is formulated for solving the steady‐state Navier–Stokes/Boussinesq equations for two‐dimensional, incompressible fluid flow and heat transfer using the stream function–vorticity formulation. The main feature o