Loading...
Please wait, while we are loading the content...
Similar Documents
Energy cascade and scaling in supersonic isothermal turbulence
| Content Provider | Semantic Scholar |
|---|---|
| Author | Kritsuk, Alexei G. Wagner, Rick Norman, Michael L. |
| Copyright Year | 2013 |
| Abstract | Supersonic turbulence plays an important role in a number of extreme astrophysical and terrestrial environments, yet its understanding remains rudimentary. We use data from a three-dimensional simulation of supersonic isothermal turbulence to reconstruct an exact fourth-order relation derived analytically from the Navier–Stokes equations (Galtier and Banerjee, Phys. Rev. Lett., vol. 107, 2011, p. 134501). Our analysis supports a Kolmogorov-like inertial energy cascade in supersonic turbulence previously discussed on a phenomenological level. We show that two compressible analogues of the four-fifths law exist describing fifthand fourth-order correlations, but only the fourth-order relation remains ‘universal’ in a wide range of Mach numbers from incompressible to highly compressible regimes. A new approximate relation valid in the strongly supersonic regime is derived and verified. We also briefly discuss the origin of bottleneck bumps in simulations of compressible turbulence. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://akpc.ucsd.edu/Isothermal/KritsukJFM13.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Approximation algorithm Cascade Device Component Image scaling Navier–Stokes equations Simulation Terrestrial television Test scaling Turbulence Volume Von Neumann architecture |
| Content Type | Text |
| Resource Type | Article |
