Karhunen-Lobe expansion of the derivative of an inhomogeneous process

Cited 5 time in webofscience Cited 0 time in scopus
  • Hit : 356
  • Download : 528
The properties of the Karhunen-Loeve (KL) expansion of the derivative u(x)(x) of an inhomogeneous random process possessing viscous boundary-layer behavior are studied in relation to questions of efficient representation for numerical Galerkan schemes for computational simulation of turbulence. Eigenfunctions and eigenvalue spectra are calculated for the randomly forced one-dimensional Burgers' model of turbulence. Convergence of the expansion of u(x) is much slower than convergence of the expansion of u(x), and direct expansion of u(x) is not significantly more efficient than differentiating the expansion of u. The ordered eigenvalue spectrum of u(x) is proportional to the square of the order parameter times the eigenvalue spectrum of u. The underlying cause of slow convergence is the earlier onset of locally sinusoidal behavior of the KL eigenfunctions when the expansion is performed over the entire domain of the solution.
Publisher
Amer Inst Physics
Issue Date
1994
Language
English
Article Type
Note
Keywords

COHERENT STRUCTURES; TURBULENT

Citation

PHYSICS OF FLUIDS, v.6, no.6, pp.2233 - 2235

ISSN
1070-6631
DOI
10.1063/1.868173
URI
http://hdl.handle.net/10203/13537
Appears in Collection
ME-Journal Papers(저널논문)
Files in This Item
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 5 items in WoS Click to see citing articles in records_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0