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Last modified
1/25/2010 7:09:10 PM
Creation date
10/5/2006 2:19:21 AM
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Floodplain Documents
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Title
Development of Generalized Free Surface Flow Models Using Finite Element Techniques
Date
2/1/1979
Prepared For
US
Prepared By
COE
Floodplain - Doc Type
Educational/Technical/Reference Information
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<br />;;"J; <br /> <br />"" .,. <br /> <br />, <br />- - - <br />',.. -......... <br />r/-_ .......,.... <br />/, --~~---............." ...- <br />. . \ ~';};:/ ~ -. ---=- --=- -..:-- ,..... .... :::, .... \- <br />- - - - \/~ - -----------........ '.............., .. - - -. <br />-........... ~ ,...-- ---------"'""---""-.....-....... ,,\. ~.... . . <br />-_ - _,.... __ /"..c:--- _______............, '....... .... ... .. _..... <br />~==:::~~~'~~~~~~~~"~;;'~~:':::' :' <br />----~ ---- -- -::: - ---- -- -~ ~'~\\..,-' .... .. <br />,.----- ___ --- - - - - - ----. .,,'",''0'- '-' <br />,.----- ..------,.-- ~- "'- - - - .-.' "" ,'------.- <br />---~~..--~ "~~~ <br />,/ -- ~'\~,~\~-==- - <br />..-- \.,~'\'\.~~?-- <br />....~ '-- ......... -- --- <br />,,-, ,,::::--- <br />, .............. --:::- <br />" .::-:= <br />..... ----- <br /> <br />.-- _ tUt.1.....Td.1T <br /> <br />Figure 8 Velocities for Spillway Q = 0, Existing Powerhouse <br />Q = 6500 cms (230,000 cfs), Second Powerhouse Q = <br />7000 cms (250,000 cfs), Slip Boundary Conditions <br /> <br />. <br /> <br />The model allows two valid types of boundary conditions <br />at boundaries where no flow enters or leaves the system. One <br />is the stagnation point where both components of velocity are <br />zero; the other is the slip boundary condition where the <br />velocity on the boundary is tangential to the boundary. The <br />slip condition requires use of curved-sided elements on the <br />boundaries. Use of curved boundaries with tangential flow is <br />favored. Use of stagnation points along the boundaries results <br />in a substantially different solution as shown in Fig. 9. Not <br />only is the velocity distribution altered, but calculated head <br />loss in the reach is about 0.21 m (0.7 ft.) g~eater than with <br />the slip boundary condition. Continuity performance for the <br />two simulations was similar, thou9h in other problems analyzed <br />by Resource r.anagement Associates (1977), the slip condition <br />was superior. Use of different boundary conditions should be <br />investigated in an attempt to identify under what conditions <br />the modeler should choose slip or stagnation point boundaries. <br />It is encouraging to note that the McNary study requi red <br />no code changes to the model. . <br /> <br />It <br />
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