We present a flexible, non-conforming staggered-grid Chebyshev spectral multidomain method for the solution of the compressible Navier-Stokes equations. In this method, subdomain corners are not included in the approximation, thereby simplifying the subdomain connectivity. To allow for local refinem
A collocation method over staggered grids for the Stokes problem
β Scribed by Christine Bernardi; Yvon Maday
- Publisher
- John Wiley and Sons
- Year
- 1988
- Tongue
- English
- Weight
- 847 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0271-2091
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β¦ Synopsis
This paper is devoted to the description and the detailed numerical analysis of a new spectral collocation method for the Stokes problem in a square, involving three staggered grids.
π SIMILAR VOLUMES
In order to solve the Navier-Stokes equations by spectral methods, we develop an algorithm using a staggered grid to compute the pressure. On this grid, an iterative process based on an artificial compressibility matrix associates the pressure with the continuity equation. This method is very accura
An algorithm, based on the overlapping control volume (OCV) method, for the solution of the steady and unsteady two-dimensional incompressible Navier -Stokes equations in complex geometry is presented. The primitive variable formulation is solved on a non-staggered grid arrangement. The problem of p
A new numerical method is developed to efficiently solve the unsteady incompressible Navier -Stokes equations with second-order accuracy in time and space. In contrast to the SIMPLE algorithms, the present formulation directly solves the discrete x-and y-momentum equations in a coupled form. It is f