-
5
-
-
0001466688
-
-
edited by M. N. Rosenbluth and R. Z. Sagdeev North-Holland, Amsterdam
-
J. A. Krommes, in Handbook of Plasma Physics, edited by M. N. Rosenbluth and R. Z. Sagdeev (North-Holland, Amsterdam, 1984), Vol. 2;
-
(1984)
Handbook of Plasma Physics
, vol.2
-
-
Krommes, J.A.1
-
8
-
-
85033303620
-
-
note
-
A closure is said to be realizable if there exists an underlying probability density function for the statistics it predicts.
-
-
-
-
9
-
-
0002870182
-
-
Theoretical Approaches to Turbulence, edited by D. L. Dwoyer, M. Y. Hussaini, and R. G. Voigt Springer, New York, Chap. V
-
R. H. Kraichnan, in Theoretical Approaches to Turbulence, Vol. 58 of Applied Mathematical Sciences Series, edited by D. L. Dwoyer, M. Y. Hussaini, and R. G. Voigt (Springer, New York, 1985), Chap. V, p. 91.
-
(1985)
Applied Mathematical Sciences Series
, vol.58
, pp. 91
-
-
Kraichnan, R.H.1
-
24
-
-
0016577854
-
-
A. Pouquet, M. Lesieur, J. C. André, and C. Basdevant, J. Fluid Mech. 72, 305 (1975).
-
(1975)
J. Fluid Mech.
, vol.72
, pp. 305
-
-
Pouquet, A.1
Lesieur, M.2
André, J.C.3
Basdevant, C.4
-
26
-
-
85033321334
-
-
Ph.D. thesis, Princeton University, Princeton, NJ
-
J. C. Bowman, Ph.D. thesis, Princeton University, Princeton, NJ, 1992.
-
(1992)
-
-
Bowman, J.C.1
-
32
-
-
85033306707
-
-
note
-
This is apparent even from a heuristic renormalization (resonance broadening) of the δ function in the wave kinetic equation to a Lorentzian.
-
-
-
-
33
-
-
85033301275
-
-
note
-
The quasistationary formulation used in Ref. 30 does not ensure that the transient energies are non-negative since η can achieve negative values during the evolution.
-
-
-
-
35
-
-
85033290244
-
-
note
-
There is a typographical error in the triad assignments given in Ref. 33.
-
-
-
-
37
-
-
5944241397
-
EDQNM model of evolution of homogeneous anisotropic turbulence in a helicity representation
-
submitted
-
L. Turner, "EDQNM model of evolution of homogeneous anisotropic turbulence in a helicity representation," submitted to J. Fluid Mech. (1997).
-
(1997)
J. Fluid Mech.
-
-
Turner, L.1
-
39
-
-
2842598973
-
-
edited by L. J. S. Bradbury, F. Durst, B. E. Launder, F. W. Schmidt, and J. H. Whitelaw Springer, New York
-
M. Larcheveque, J. P. Chollet, J. R. Herring, M. Lesieur, G. R. Newman, and D. Schertzer, in Turbulent Shear Flows, edited by L. J. S. Bradbury, F. Durst, B. E. Launder, F. W. Schmidt, and J. H. Whitelaw (Springer, New York, 1980), Vol 2, pp. 50-65.
-
(1980)
Turbulent Shear Flows
, vol.2
, pp. 50-65
-
-
Larcheveque, M.1
Chollet, J.P.2
Herring, J.R.3
Lesieur, M.4
Newman, G.R.5
Schertzer, D.6
-
41
-
-
84974317997
-
-
J. R. Herring, D. Schertzer, M. Lesieur, G. R. Newman, J. P. Chollet, and M. Larcheveque, J. Fluid Mech. 124, 411 (1982).
-
(1982)
J. Fluid Mech.
, vol.124
, pp. 411
-
-
Herring, J.R.1
Schertzer, D.2
Lesieur, M.3
Newman, G.R.4
Chollet, J.P.5
Larcheveque, M.6
-
44
-
-
0021785265
-
-
A more sophisticated technique for extending the computational power of the DIA, which partially accounts for the non-Gaussian statistics predicted during a previous evolution, has been developed in H. A. Rose, Physica D 14, 216 (1985).
-
(1985)
Physica D
, vol.14
, pp. 216
-
-
Rose, H.A.1
-
45
-
-
85033280867
-
-
note
-
The substantial memeory requirements, roughly 200 Megabytes, make it difficult to continue the evolution without a dramatic decrease in the speed of the calculation because of the need to swap data to disk.
-
-
-
-
46
-
-
85033315837
-
-
private communication
-
W. P. Dannevik (private communication, 1990).
-
(1990)
-
-
Dannevik, W.P.1
-
48
-
-
85033284575
-
-
note
-
Waltz describes the equations he solves as the result of applying a "resonance approximation" to "the DIA weak coupling theory." He also sometimes refers to these equations as the DIA itself; however they are really just a quasistationary version of the EDQNM closure.
-
-
-
-
50
-
-
85033293325
-
-
note
-
2 appears because the fundamental nonlinear interaction arises from the polarization drift.
-
-
-
-
52
-
-
85033284050
-
-
note
-
The value of Θ at the singular points (0,y) is arbitrary since this corresponds to points in the integration that precisely satisfy k=p cos r, which may be removed since the integrand is bounded.
-
-
-
-
54
-
-
85033278358
-
-
note
-
The difference between this algorithm and the one used for the energy equation appears only above second order.
-
-
-
-
55
-
-
85033319939
-
-
note
-
If the error was computed solely by the ratio of the predictor-corrector difference to the current value of a corrected variable that happened to be passing through zero, this relative error could become arbitrarily large. The error is therefore computed with respect to both current and previous values; our formula removes the artifact just described by calculating a combination of relative and absolute errors.
-
-
-
-
56
-
-
85033324373
-
-
note
-
These tolerance parameters are chosen to yield an efficient evolution that does not become unstable. Of course, even if the evolution is stable, it may still be inaccurate; in this case the maximum error tolerance should be decreased. In practice, our convergence tests indicate that whenever the numerical scheme is stable, the results are sufficiently accurate, bearing in mind the inherent inaccuracies of statistical closures.
-
-
-
|