𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An efficient algorithm for solving the incompressible fluid flow equations

✍ Scribed by V. M. Theodossiou; A. C. M. Sousa

Publisher
John Wiley and Sons
Year
1986
Tongue
English
Weight
740 KB
Volume
6
Category
Article
ISSN
0271-2091

No coin nor oath required. For personal study only.

✦ Synopsis

The present paper reports on a modified pressure implicit predictor-corrector type scheme for solving the flow governing equations, in which a consistent formulation is combined with a multi-grid solver for the pressure correction. In addition a parabolic sublayer (PSL) approach for the treatment of the flow in the vicinity of solid walls is critically evaluated in terms of accuracy and computational efficiency. The lid-driven cavity flow is chosen as the test case and results are presented for Reynolds numbers ranging from 100 to 1000. Predictions with the proposed scheme indicate substantial computational savings and fairly good agreement when compared with previous work. The PSL approach reduces the computing time, but with increasing Reynolds numbers the accuracy of the solutions tends to deteriorate.

πŸ“œ SIMILAR VOLUMES

An efficient method of solving the Navie
An efficient method of solving the Navier–Stokes equations for flow control
✍ H. M. Park; M. W. Lee πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 345 KB πŸ‘ 2 views

A new method of solving the Navier-Stokes equations e ciently by reducing their number of modes is proposed in the present paper. It is based on the Karhunen-LoΓ‚ eve decomposition which is a technique of obtaining empirical eigenfunctions from the experimental or numerical data of a system. Employin

Fast boundary-domain integral algorithm
Fast boundary-domain integral algorithm for the computation of incompressible fluid flow problems
✍ M. HriberΕ‘ek; L. Ε kerget πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 229 KB πŸ‘ 2 views

The paper deals with the numerical solution of fluid dynamics using the boundary-domain integral method (BDIM). A velocity-vorticity formulation of the Navier -Stokes equations is adopted, where the kinematic equation is written in its parabolic form. Computational aspects of the numerical simulatio

An Inexact Newton Algorithm for Solving
An Inexact Newton Algorithm for Solving the Tokamak Edge Plasma Fluid Equations on a Multiply-Connected Domain
✍ D.A. Knoll; P.R. McHugh πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 554 KB

Newton's method is combined with a preconditioned conjugate gradient-like algorithm and finite volume discretization to solve the steady-state two-dimensional tokamak edge plasma fluid equations. A numerical evaluation of the Jacobian is employed. Mesh sequencing, pseudo-transient continuation, and