𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Application of Vorticity Integral Conditioning to Chebyshev Pseudospectral Formulation for the Navier-Stokes Equations

✍ Scribed by Hoa D. Nguyen; Seungho Paik; Jacob N. Chung

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
431 KB
Volume
106
Category
Article
ISSN
0021-9991

No coin nor oath required. For personal study only.

✦ Synopsis

A pseudospectral method based on the vorticity-stream function formulation is proposed for the solution of two-dimensional, timedependent flow of an incompressible fluid. It features the high resolution and computational economy of Chebyshev collocation and the combined second-order Adams-Bashforth and Crank-Nicolson time integration schemes. Precise treatment for the vorticity condition is accomplished by the use of conditions of integral type. Numerical experiments indicate that the pseudospectral method is capable of producing results comparable to those obtained by finite differences with fewer unknowns and is superior in accuracy for the same number of nodal points. 1993 Academic Press, Inc.

📜 SIMILAR VOLUMES

A Novel Velocity–Vorticity Formulation o
A Novel Velocity–Vorticity Formulation of the Navier–Stokes Equations with Applications to Boundary Layer Disturbance Evolution
✍ Christopher Davies; Peter W. Carpenter 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 291 KB

A novel velocity-vorticity formulation of the unsteady, three-dimensional, Navier-Stokes equations is presented. The formulation is particularly suitable for simulating the evolution of three-dimensional disturbances in boundary layers. A key advantage is that there are only three governing equation

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