Kinetic-based numerical schemes for incompressible Navier–Stokes equations
✍ Scribed by M.K. Banda; M. Junk; A. Klar
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 427 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0045-7930
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✦ Synopsis
Numerical schemes for incompressible Navier-Stokes equations based on low Mach number limits of kinetic equations are presented. Discretizations of the incompressible Navier-Stokes equations are derived based on discretizations of the Boltzmann equation and consideration for the low Mach number limit. In the incompressible Navier-Stokes limit the discretizations reduce to explicit high-order numerical schemes. Numerical results for several test cases and comparisons with other well-known approaches are also presented.
📜 SIMILAR VOLUMES
An inverse kinetic theory applying specifically to incompressible Newtonian fluids which permits us to avoid the N 2 algorithmic complexity of the Poisson equation for the fluid pressure is presented. The theory is based on the construction of a suitable kinetic equation in phase space, which permit
## 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