𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Splitting Techniques with Staggered Grids for the Navier–Stokes Equations in the 2D Case

✍ Scribed by Heike Haschke; Wilhelm Heinrichs

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
133 KB
Volume
168
Category
Article
ISSN
0021-9991

No coin nor oath required. For personal study only.

✦ Synopsis

A pseudo-spectral approximation for the Navier-Stokes equations in the 2D case is presented using a new splitting technique based on the Uzawa algorithm. The system is decoupled into Helmholtz equations for the velocity and an equation with the pseudo-Laplacian for the pressure. Staggered grids with Gauss-and Gauss-Lobatto nodes are employed. Preconditioning with finite differences is considered. By extrapolation, a stable second-order method in time for the velocity and at least a first-order method for the pressure can be achieved.

📜 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

A dimension split method for the 3-D com
A dimension split method for the 3-D compressible Navier-Stokes equations in turbomachine
✍ Li, Kaitai ;Huang, Aixiang ;Zhang, Wen ling 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 138 KB 👁 2 views

## Abstract In this paper, by using classical tensor calculus, we derive the compressible Navier–Stokes equation on a so‐called stream surface which is a two‐dimensional (2‐D) manifold that gives a definition of a stream function with the equation satisfied by it. Based on this, a new algorithm is

An analysis and comparison of the time a
An analysis and comparison of the time accuracy of fractional-step methods for the Navier–Stokes equations on staggered grids
✍ S. Armfield; R. Street 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 221 KB 👁 2 views

## Abstract Fractional‐step methods solve the unsteady Navier–Stokes equations in a segregated manner, and can be implemented with only a single solution of the momentum/pressure equations being obtained at each time step, or with the momentum/pressure system being iterated until a convergence crit

Deterministic High Order Vortex Methods
Deterministic High Order Vortex Methods for the 2D Navier–Stokes Equation with Rezoning
✍ Henrik O. Nordmark 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 453 KB

In this paper, we extend the use of automatic rezoning to viscous flow in two dimensions. In a previous paper, we tested this technique on inviscid flow, with very good results. To simulate viscosity, we follow Fishelov's idea of explicitly taking the Laplacian of the cutoff function, but unlike Fis