CLOSURE FOR STOCHASTICALLY DISTRIBUTED SECOND-ORDER REACTANTS

被引：17

作者：

OBRIEN, EE

机构：

[1] College of Engineering, State University of New York at Stony Brook, Stony Brook, NY

来源：

PHYSICS OF FLUIDS | 1968年 / 11卷 / 09期

关键词：

D O I：

10.1063/1.1692214

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A closure at the third-order moment is presented for the problem of the decay of reactants which obey a second-order equation, and whose initial description is given stochastically. The closure satisfies prescribed realizability conditions for all possible initial assignments of the mean, the mean square fluctuations, and third-order moments of the concentration field. The closure is applied in two typical examples, and in each case the results agree satisfactorily with exact stochastic solutions.

引用

页码：1883 / &

共 12 条

[1] ABRAMOWITZ M, 1965, HDB MATH FUNCTIONS, pCH15
[2] Abramowitz M, 1965, HDB MATH FUNCTIONS
[3] ERDELYI A, 1954, TABLES INTEGRAL T ED, V2, P339
[4] LAGRANGIAN-HISTORY CLOSURE APPROXIMATION FOR TURBULENCE
KRAICHNAN, RH
[J]. PHYSICS OF FLUIDS, 1965, 8 (04) : 575 - +
[5] KOLMOGOROV HYPOTHESES AND EULERIAN TURBULENCE THEORY
KRAICHNAN, RH
[J]. PHYSICS OF FLUIDS, 1964, 7 (11) : 1723 - 1734
[6] KRUSKAL MD, 1967, P INT SCH NONLINE ED, V10, P1720
[7] ISOTROPIC TURBULENT MIXING UNDER A SECOND-ORDER CHEMICAL REACTION
LEE, J
[J]. PHYSICS OF FLUIDS, 1966, 9 (09) : 1753 - &
[8] CLOSURE APPROXIMATIONS APPLIED TO STOCHASTICALLY DISTRIBUTED 2ND-ORDER REACTANTS
OBRIEN, EE
[J]. PHYSICS OF FLUIDS, 1966, 9 (08) : 1561 - &
[9] OBRIEN EE, 1967, 99 STAT U NEW YORK C
[10] MODEL EQUATIONS FOR STRONG TURBULENCE IN A VLASOV PLASMA
ORSZAG, SA
KRAICHNAN, RH
[J]. PHYSICS OF FLUIDS, 1967, 10 (08) : 1720 - +

← 1 2 →