𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Spectral methods for the Stokes problem in stream-function formulation

✍ Scribed by Christine Bernardi; Giuseppe Coppoletta; Vivette Girault; Yvon Maday

Book ID
118371326
Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
616 KB
Volume
80
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Vorticity–velocity-pressure and stream f
Vorticity–velocity-pressure and stream function-vorticity formulations for the Stokes problem
✍ François Dubois; Michel Salaün; Stéphanie Salmon 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 414 KB

We study the Stokes problem of incompressible fluid dynamics in two and three-dimension spaces, for general bounded domains with smooth boundary. We use the vorticity-velocity-pressure formulation and introduce a new Hilbert space for the vorticity. We develop an abstract mixed formulation that give

A stream-function–vorticity variational
A stream-function–vorticity variational formulation for the exterior Stokes problem in weighted Sobolev spaces
✍ V. Girault; J. Giroire; A. Sequeira 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 822 KB

## Abstract In this paper we derive a mixed variational formulation for the exterior Stokes problem in terms of the vorticity and stream function, or the vector potential in three dimensions. The main steps are the construction of the stream function (or vector potential) and the proof of the Babuš

Mixed Spectral-Boundary Element Embeddin
Mixed Spectral-Boundary Element Embedding Algorithms for the Navier–Stokes Equations in the Vorticity-Stream Function Formulation
✍ M. Elghaoui; R. Pasquetti 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 197 KB

An embedding approach, based on Fourier expansions and boundary integral equations, is applied to the vorticity-stream function formulation of the Navier-Stokes equations. The algorithm only requires efficient solvers of scalar elliptic equations and, in an asymptotic version, the boundary element m