𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Computing singular solutions of the Navier–Stokes equations with the Chebyshev-collocation method

✍ Scribed by O. Botella; R. Peyret

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
545 KB
Volume
36
Category
Article
ISSN
0271-2091

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Chebyshev collocation method and multido
Chebyshev collocation method and multidomain decomposition for the incompressible Navier-Stokes equations
✍ A. Pinelli; A. Vacca 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 1009 KB

The two-dimensional incompressible Navier-Stokes equations in primitive variables have been solved by a pseudospectral Chebyshev method using a semi-implicit fractional step scheme. The latter has been adapted to the particular features of spectral collocation methods to develop the monodomain algor

On Possible Singular Solutions to the Na
On Possible Singular Solutions to the Navier — Stokes Equations
✍ Josef Málek; Jindřich Nečas; Milan Pokorný; Maria E. Schonbek 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 653 KB

## Abstract In this paper, we exclude the possibility of existence of a singular solution of the selfsimilar type proposed by Jean Leray More precisely, using a slightly stronger hypothesis we give a simpler proof to the analogous result established by J. Nečas, M. Rúžička and V. Šverák. We also di

The Immersed Interface Method for the Na
The Immersed Interface Method for the Navier–Stokes Equations with Singular Forces
✍ Zhilin Li; Ming-Chih Lai 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 225 KB

Peskin's Immersed Boundary Method has been widely used for simulating many fluid mechanics and biology problems. One of the essential components of the method is the usage of certain discrete delta functions to deal with singular forces along one or several interfaces in the fluid domain. However, t

Solution of the discretized incompressib
Solution of the discretized incompressible Navier-Stokes equations with the GMRES method
✍ C. Vuik 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 753 KB

We describe some experiences using iterative solution methods of GMRES type to solve the discretized Navier-Stokes equations. The discretization combined with a pressure correction scheme leads to two different systems of equations: the momentum equations and the pressure equation. It appears that a

On the number of singular points of weak
On the number of singular points of weak solutions to the Navier-Stokes equations
✍ Gregory A. Seregin 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 71 KB 👁 2 views

## Abstract We consider a suitable weak solution to the three‐dimensional Navier‐Stokes equations in the space‐time cylinder Ω × ]0, __T__[. Let Σ be the set of singular points for this solution and Σ (__t__) ≡ {(__x, t__) ∈ Σ}. For a given open subset ω ⊆ Ω and for a given moment of time __t__ ∈]0