𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A finite volume method to solve the 3D Navier–Stokes equations on unstructured collocated meshes

✍ Scribed by Sébastien Perron; Sylvain Boivin; Jean-Marc Hérard

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
571 KB
Volume
33
Category
Article
ISSN
0045-7930

No coin nor oath required. For personal study only.

✦ Synopsis

A new method to solve the Navier-Stokes equations for incompressible viscous flows and the transport of a scalar quantity is proposed. This method is based upon a fractional time step scheme and the finite volume method on unstructured meshes. The governing equations are discretized using a collocated, cellcentered arrangement of velocity and pressure. The solution variables are stored at the cell-circumcenters. Theoretical results and numerical properties of the scheme are provided. Predictions of lid-driven cavity flow, flows past a cylinder and heat transport in a cylinder are performed to validate the method.

📜 SIMILAR VOLUMES

A review of some finite element methods
A review of some finite element methods to solve the stationary Navier-Stokes equations
✍ A. Segal 📂 Article 📅 1985 🏛 John Wiley and Sons 🌐 English ⚖ 737 KB

## Abstract In this paper the integrated solution approach, the penalty function approach and the solenoidal approach for the finite element solution of the stationary Navier‐Stokes equations are compared. It is shown that both the penalty function approach and the solenoidal approach compare favou

Solution of the 2D shallow water equatio
Solution of the 2D shallow water equations using the finite volume method on unstructured triangular meshes
✍ K. Anastasiou; C. T. Chan 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 466 KB 👁 2 views

A 2D, depth-integrated, free surface flow solver for the shallow water equations is developed and tested. The solver is implemented on unstructured triangular meshes and the solution methodology is based upon a Godunov-type second-order upwind finite volume formulation, whereby the inviscid fluxes o