✦ LIBER ✦

Solution of Navier-Stokes equations on non-staggered grid

✍ Scribed by A.W. Date

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 662 KB
Volume: 36
Category: Article
ISSN: 0017-9310
DOI: 10.1016/s0017-9310(05)80179-6

No coin nor oath required. For personal study only.

✦ Synopsis

When

Navier-Stokes equations are solved on a non-staggered grid, the problem of checker board prediction of pressure is encountered. Over the last ten years, this problem has been cured by what is known as the momentum interpolation formula which is applied for evaluation of the cell-face velocities. In this paper two contributions are made. Firstly, it is shown that the momentum interpolation formula is a special case of a more general interpolation relationship that can be derived from a physical principle. In this sense, the relationship does not provide a unique formula for the interpolation of the cell-face velocity. In order to achieve unique interpolation practice, the second contribution of this paper relates to pressure-gradient interpolation. The results obtained from pressure-gradient interpolation compare extremely favourably with those obtained using staggered grid.

📜 SIMILAR VOLUMES

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

Null-space-free methods for the incompre

Null-space-free methods for the incompressible Navier-Stokes equations on non-staggered curvilinear grids

✍ Arkady S. Dvinsky; John K. Dukowicz 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 736 KB

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 spectral method with staggered grid fo

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

✍ F. Montigny-Rannou; Y. Morchoisne 📂 Article 📅 1987 🏛 John Wiley and Sons 🌐 English ⚖ 562 KB

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

Numerical solutions for the incompressib

Numerical solutions for the incompressible Navier-Stokes equations in primitive variables using a non-staggered grid, II

✍ S Abdallah 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 558 KB

Three-dimensional incompressible Navier–

Three-dimensional incompressible Navier–Stokes equations on non-orthogonal staggered grids using the velocity–vorticity formulation

✍ F. Bertagnolio; O. Daube 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 665 KB

This paper is concerned with the numerical resolution of the incompressible Navier -Stokes equations in the velocity-vorticity form on non-orthogonal structured grids. The discretization is performed in such a way, that the discrete operators mimic the properties of the continuous ones. This allows