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Code Manual for CONTAIN 2.0 - Federation of American Scientists

Code Manual for CONTAIN 2.0 - Federation of American Scientists

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crossover parameter y always selects the averaged expression ~~jj (i.e., y = 1) over the range <strong>of</strong> 6‘s<br />

(i.e., e z 6 z sly) corresponding to the possible types <strong>of</strong> metastable stratifications.<br />

The definition <strong>of</strong> the asymptotically correct head AP~,jj is<br />

AP’ gr,ij=+V -H;)% (4-9)<br />

where H ‘i= Hi - ~,i,l is tie gfi center-<strong>of</strong>-volume ‘levation ‘n i>adjusted ‘or submergence? if ~YJ<br />

and H; = Hj - A~,j,z. This asymptotically correct head cannot be modified through user input.<br />

The definition <strong>of</strong> the VDI head AP~r,ijused away from the well-mixed asymptotic limit is<br />

AP ‘&,ij=gpi Hi -H’ + F..p. + 1-F.. p. H’ -H’ +gp. I-I’-H!<br />

(4-lo)<br />

(’ bid Ml J L J<br />

The definitions <strong>of</strong> the elevations H:, H;, H;, and H; and the VDI parameter Fij depend on two user<br />

options, controlled by the MSTABLE and RESOLVHD keywords discussed below. The Fij<br />

parameter gives the location <strong>of</strong> the VDI in the flow path in terms <strong>of</strong> a fraction <strong>of</strong> the effective length<br />

<strong>of</strong> the path in the direction from i to j. The default treatment is a dynamically calculated Fij, as<br />

discussed below, in which the interface is assumed to span the entire elevation difference between<br />

the gas centers <strong>of</strong> volume, with adjustments <strong>for</strong> any submergence <strong>of</strong> the flow path ends. If<br />

MSTABLE is specified, then Fij is simply set to %, a value which corresponds to using the averaged<br />

density over the elevation span normally spanned by the VDI model. Specification <strong>of</strong> the<br />

RESOLVHD keyword invokes a treatment whereby the elevation difference normally spanned by<br />

the VDI is restricted to the elevation difference between the flow path ends, and the appropriate cell<br />

density is used within a cell to span the elevation change between the gas center <strong>of</strong> volume and the<br />

flow path end. In other words,<br />

H; = H: if the RESOLVHD keyword has not been specified <strong>for</strong> the path<br />

= HI if the RESOLVHD keyword has been specified <strong>for</strong> the path, and<br />

H;= H; if the RESOLVHD keyword has not been specified <strong>for</strong> the path<br />

= H2 if the RESOLVHD keyword has been specified <strong>for</strong> the path,<br />

where HI and Hz are the attachment elevations <strong>of</strong> the flow path ends to the cells i and j, respectively,<br />

as shown in Figure 4-4. Note that RESOLVHD will have no effect if the flow paths are<br />

(coincidentally) attached at the cell center at each end.<br />

The MSTABLE and RESOLVHD options have been made available to recover the old gravitational<br />

head modeling used in code versions prior to <strong>CONTAIN</strong> 1.2, and also to add flexibility to the present<br />

modeling. (Use <strong>of</strong> MSTABLE, and explicit specification <strong>of</strong> RESOLVHD and the appropriate<br />

elevations <strong>for</strong> all flow paths will allow the user to recover the “old,” averaged-density gravitational<br />

head <strong>for</strong>mulation recommended in prior versions, at least in cases in which the pool does not cover<br />

gas path inlets and significant displacement <strong>of</strong> gas centers <strong>of</strong> elevation by the pool does not occur.)<br />

Rev. O 4-23 6/30/97

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