𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Spectral Discretization of the Axisymmetric Vorticity, Velocity and Pressure Formulation of the Stokes Problem

✍ Scribed by Nehla Abdellatif; Nejmeddine Chorfi; Sihem Trabelsi

Publisher
Springer US
Year
2010
Tongue
English
Weight
881 KB
Volume
47
Category
Article
ISSN
0885-7474

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Vorticity–velocity–pressure formulation
Vorticity–velocity–pressure formulation for the Stokes problem
✍ François Dubois 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 228 KB

## Abstract We present a new variational formulation of Stokes problem of fluid mechanics that allows to take into account very general boundary conditions for velocity, tangential vorticity or pressure. This formulation conducts a well posed mathematical problem in a family of particular cases. Co

Numerical stabilization of the Stokes pr
Numerical stabilization of the Stokes problem in vorticity–velocity–pressure formulation
✍ Michel Salaün; Stéphanie Salmon 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 414 KB

We work on a vorticity, velocity and pressure formulation of the bidimensional Stokes problem for incompressible fluids. In previous papers, the authors have developed a natural implementation of this scheme. We have then observed that, in case of unstructured meshes with Dirichlet boundary conditio

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

Vorticity-velocity formulations of the S
Vorticity-velocity formulations of the Stokes problem in 3D
✍ A. Ern; J.-L. Guermond; L. Quartapelle 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 138 KB 👁 2 views

## Communicated by J. C. Nedelec This work studies the three-dimensional Stokes problem expressed in terms of vorticity and velocity variables. We make general assumptions on the regularity and the topological structure of the flow domain: the boundary is Lipschitz and possibly non-connected and t

Discontinuous spectral element approxima
Discontinuous spectral element approximations for the velocity–pressure–stress formulation of the Stokes problem
✍ M. I. Gerritsma; T. N. Phillips 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 176 KB 👁 2 views

The discretization of the mixed velocity-pressure-stress formulation of the Stokes problem using the spectral element method is considered. The compatibility conditions between the discrete velocity and extra stress spaces are examined. A su cient condition for compatibility, namely that the discret