We consider the incompressible limit of the compressible Euler equation in the half-space 1L > . It is proved that the solutions of the non-dimensionalized compressible Euler equation converge to the solution of the incompressible Euler equation when the Mach number tends to zero. If the initial dat
โฆ LIBER โฆ
Euler statistics of the density field of passive tracers in incompressible and compressible media
โ Scribed by I.S. Zhukova; A.I. Saichev
- Book ID
- 104142580
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 579 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0021-8928
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โฆ Synopsis
General forms of a relation between the Lagrangian and Eulerian probability distributions of the Jacobian as well as the densities of passive tracers in a turbalent medium are obtained. Using these, in the eases of a compressible and an incompressible medium, the probability properties of the density under various initial distributions of the latter are analysed and studied. Expressions for the moments of the density field are obtained.
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