CFD lecture 23 - Computational Fluid Dynamics Lecture 23...

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Computational Fluid Dynamics Lecture 23 Wrap up on LES Notes say (Ferziger). 22 1 2 but I said how do these compare? j ii ji j vC s vC u uu v x xx τ ε =∆  ∂∂ =+  ∂∂∂  eqn. 1-1-8 Hinze, pg 71, term IV. What does j i u u x x  +  look like? For i 1, 3; 1, 3 j = = there are 9 terms: This is all one equation; so i , j indices do not separate into 3 equations like in momentum equations. j i uvwuuuuvwvvvuv u x xxxyzyyyxyzzz u wwww zxyz ∂∂∂∂∂∂∂∂∂∂∂∂∂∂ ++ ++++++ +++++ +=  ∂∂∂∂ ++++ Which has two occurrences of each term. You could use continuity and throw out groups of 2 2 1 Now 2 j i j i ij uvw xyz u u vwuuvw x x y z z u u S ++ ∂∂ ∂∂∂∂ +=+ + + + + ∂∂∂∂∂∂ y pg. 381 Lesieur; eqn. 2.3 and 4.3 Ferziger; pg 252 Peyret & Taylor 1
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and obviously () 1 2 2 1 2 Finally j ii jj i ij ij u uu xx x vCS S τ  ∂∂ =+   = A Peyret & Taylor pg. 252 2 or s vC x =∆ S Lesieur pg. 383 & Ferziger 4.12 With 2 ij ij SS = S Lesieur pg. 383 Where
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This note was uploaded on 06/08/2011 for the course EOC 6850 taught by Professor Slinn during the Spring '07 term at University of Florida.

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CFD lecture 23 - Computational Fluid Dynamics Lecture 23...

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