𝔖 Bobbio Scriptorium
✦   LIBER   ✦

AN APPROXIMATE PROJECTION SCHEME FOR INCOMPRESSIBLE FLOW USING SPECTRAL ELEMENTS

✍ Scribed by L. J. P. TIMMERMANS; P. D. MINEV; F. N. VAN DE VOSSE

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
866 KB
Volume
22
Category
Article
ISSN
0271-2091

No coin nor oath required. For personal study only.

✦ Synopsis

An approximate projection scheme based on the pressure correction method is proposed to solve the Navier-Stokes equations for incompressible flow. The algorithm is applied to the continuous equations; however, there are no problems concerning the choice of boundary conditions of the pressure step. The resulting velocity and pressure are consistent with the original system. For the spatial discretization a high-order spectral element method is chosen. The high-order accuracy allows the use of a diagonal mass matrix, resulting in a very efficient algorithm. The properties of the scheme are extensively tested by means of an analytical test example. The scheme is M e r validated by simulating the laminar flow over a backward-facing step.

πŸ“œ SIMILAR VOLUMES

A projection scheme for incompressible m
A projection scheme for incompressible multiphase flow using adaptive Eulerian grid
✍ T. Chen; P. D. Minev; K. Nandakumar πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 379 KB πŸ‘ 1 views

## Abstract This paper presents a finite element method for incompressible multiphase flows with capillary interfaces based on a (formally) second‐order projection scheme. The discretization is on a fixed Eulerian grid. The fluid phases are identified and advected using a level set function. The gr

Approximation of Navier–Stokes incompres
Approximation of Navier–Stokes incompressible flow using a spectral element method with a local discretization in spectral space
✍ Kelly Black πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 211 KB πŸ‘ 2 views

A spectral element technique is examined, which builds upon a local discretization within the spectral space. To approximate a given system of equations the domain is subdivided into nonoverlapping quadrilateral elements, and within each element a discretization is found in the spectral space. The d