By G. Bergeles and W. Rodi (Eds.)
This paintings includes the complaints of the 3rd foreign Symposium on Engineering Turbulence Modelling and Measurements, Crete, Greece, which happened among may perhaps 27-29, 1996. themes mentioned comprise: turbulence modelling; aerodynamic flows; warmth move; and combustion structures
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Example text
G. G r ô t z b a c h , M . W o r n e r , ( 1 9 9 2 ) , A n a l y s i s o f s e c o n d o r d e r t r a n s p o r t e q u a t i o n s b y n u m e r i c a l s i m u l a t i o n s of t u r b u l e n t c o n v e c t i o n i n l i q u i d m e t a l s , 5th International Topical M e e t i n g on N u c l e a r Reactor Thermal Hydraulics, S a l t L a k e City. H. Schmidt, U. S c h u m a n n , H. Volkert, (1984),"three-dimensional direct a n d v e r t o r i z e d e l l i p t i c s o l v e r s for v a r i o u s b o u n d a r y c o n d i t i o n s " , D F V L R - M i t t .
U M ) [10] a n d H a l l b à c k e t al. ( H J ) [11-14], in o r d e r of complexity. 2. SECOND-ORDER MOMENT CLOSURES T h e s y s t e m of R e y n o l d s - a v e r a g e d mean-flow e q u a t i o n s for i n c o m p r e s s i b l e flows is given by t h e c o n t i n u i t y e q u a t i o n a n d t h e m e a n m o m e n t u m e q u a t i o n U iti = 0 and DUi/Dt = -PJp + (v [V iyj + U ) - MJ) jyi D , (1) w h e r e U{ is t h e m e a n velocity c o m p o n e n t i a n d d e n o t e s t h e d e r i v a t i o n in s p a c e direction Xi.
T h e s e s h o r t c o m i n g s h a v e been d i m i n i s h e d by m o r e or less physical s o u n d e d e x t r a t e r m s in t h e ε - e q u a t i o n . Secondorder o n e - p o i n t m o m e n t closures ( S M C ' s ) cover s o m e of t h o s e s h o r t c o m i n g s d u e t o their i n h e r e n t d y n a m i c s . T h e y a c c o u n t for t h e i m p o r t a n t non-local a n d h i s t o r y effects on t h e Reynolds-stress t e n s o r . However, S M C ' s will only b e t h e f u t u r e e n g i n e e r i n g tool, if t h e y have proven t h e i r s u p e r i o r i t y in a large a m o u n t of flows of p r a c t i c a l i n t e r e s t .