✦ LIBER ✦

A spectral method with staggered grid for incompressible Navier-Stokes equations

✍ Scribed by F. Montigny-Rannou; Y. Morchoisne

Publisher: John Wiley and Sons
Year: 1987
Tongue: English
Weight: 562 KB
Volume: 7
Category: Article
ISSN: 0271-2091
DOI: 10.1002/fld.1650070206

No coin nor oath required. For personal study only.

✦ Synopsis

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 accurate and avoids naturally most of the effects of parasite modes appearing in classical spectral methods with a velocitypressure formulation.

📜 SIMILAR VOLUMES

A Staggered-Grid Multidomain Spectral Me

A Staggered-Grid Multidomain Spectral Method for the Compressible Navier–Stokes Equations

✍ David A. Kopriva 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 621 KB

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 momentum coupling method for the unste

A momentum coupling method for the unsteady incompressible Navier–Stokes equations on the staggered grid

✍ Byoung-Kwang Min; Keun-Shik Chang 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 350 KB 👁 2 views

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

A Non-staggered Grid, Fractional Step Me

A Non-staggered Grid, Fractional Step Method for Time-Dependent Incompressible Navier-Stokes Equations in Curvilinear Coordinates

✍ Yan Zang; Robert L. Street; Jeffrey R. Koseff 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 807 KB

A numerical method for solving three-dimensional, time-dependent incompressible Navier-Stokes equations in curvilinear coordinates is presented. The non-staggered-grid method originally developed by C. M. Rhie and W. L. Chow (AIAA J. 21, 1525 (1983)) for steady state problems is extended to compute

Benchmark solutions for the incompressib

Benchmark solutions for the incompressible Navier–Stokes equations in general co-ordinates on staggered grids

✍ C. W. Oosterlee; P. Wesseling; A. Segal; E. Brakkee 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 910 KB

A Fourth-Order Accurate Method for the I

A Fourth-Order Accurate Method for the Incompressible Navier-Stokes Equations on Overlapping Grids

✍ William D. Henshaw 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 814 KB

A method is described to solve the time-dependent incompressible Navier-Stokes equations with finite differences on curvilinear overlapping grids in two or three space dimensions. The scheme is fourth-order accurate in space and uses the momentum equations for the velocity coupled to a Poisson equat

An overlapping control volume method for

An overlapping control volume method for the Navier–Stokes equations on non-staggered grids

✍ Atul Kumar Verma; V. Eswaran 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 527 KB

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