## Abstract In this paper we derive a probabilistic representation of the deterministic three‐dimensional Navier‐Stokes equations based on stochastic Lagrangian paths. The particle trajectories obey SDEs driven by a uniform Wiener process; the inviscid Weber formula for the Euler equations of ideal
A stochastic representation for backward incompressible Navier-Stokes equations
✍ Scribed by Xicheng Zhang
- Book ID
- 106137965
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 279 KB
- Volume
- 148
- Category
- Article
- ISSN
- 1432-2064
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## Abstract This article mainly concerns modeling the stochastic input and its propagation in incompressible Navier‐Stokes(N‐S) flow simulations. The stochastic input is represented spectrally by employing orthogonal polynomial functionals from the Askey scheme as trial basis to represent the rando
Fully discretized incompressible Navier-Stokes equations are solved by splitting the algebraic system with an approximate factorization. This splitting affects the temporal convergence order of velocity and pressure. The splitting error is proportional to the pressure variable, and a simple analysis