By Rainer Friedrich, Wolfgang Rodi

Includes the complaints of the EUROMECH Colloquium, held in Munich, Germany. Articles concentrate on new advancements within the box of large-eddy simulation of advanced flows on the topic of the themes of modeling and research of subgrid scales, numerical concerns in LES, and combustion and magnetohydrodynamics.

**Read or Download Advances in LES of Complex Flows (Fluid Mechanics and Its Applications) (v. 65) PDF**

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**Extra info for Advances in LES of Complex Flows (Fluid Mechanics and Its Applications) (v. 65)**

**Sample text**

124) Here V(z) and R(z) are slowly varying but otherwise arbitrary functions of the variable z. By specifying these functions we find various configurations of the surfaces, ~ (r, z) = const. 124) that in this approximation p = p(z). , we assume that among the streamlines ~ (r, z) = const there is a straight line r = R. The correspond- MOROZOV AND SOWV'EV \ "" " o' \ '-... ........... -/ / / / / I r=R Fig. 11 ing pattern of streamlines is shown in Fig. 11, where the velocity V(z) is plotted along the z axis.

32 MOROZOV AND SOWV'EV Accordingly, in this case (r == const) we find a property of an ordinary gasdynamic nozzle: The sound velocity and the flow velocity are equal at the critical cross section. 58) that the signal velocity cannot be crossed at the minimum of f. For high-velocity flows we are primarily interested in the case c). » c~. 63a), we find f = const;p V l-pjp 0 • (2. 70) These equations show that if the velocity increases monotonically in the channel, then p and H decrease monotonically.

78) 4np 0 Thus, with p ,... __ 4;-~p ~ cfo_ (. _ll__ \ v- 1 y-1 Po ) (2. DV'EV we have Hmax ~ Ho l/ Pmax. 80) An exact expression for the maximum magnetic field is given in [22]. § 4. , ~ = ~ (r, ez), p = p (r, ez), where e is a small parameter. Neglecting terms in Eqs. _ 2 (-I-. ~)2 +pr2B2=U. 82) As noted above, B and U are arbitrary functions of ~ alone. 82) only contain partial derivatives with respect to r. In general, solution of this system of equations depends on the two arbitrary functions c 1 (z) and c 2 (z), so that ~ = ~ (r, c 1, c 2), p = p(r, c 1, c 2).