On the number of determining nodes for the 2D Navier-Stokes equations
✍ Scribed by Don A Jones; Edriss S Titi
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 630 KB
- Volume
- 168
- Category
- Article
- ISSN
- 0022-247X
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## 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
In this paper an explicit Lagrangian approach to advective and diffusive term treatment has been derived to improve the stability and to reduce the artificial diffusion of a finite difference scheme for convection-diffusion equations. This concept is then applied to discretize the convective and vis