Applied Computational Fluid Dynamics Techniques - Wiley Episode 2 Part 2 pdf

... Flux-correctedtransportschemes 19 9 11 INCOMPRESSIBLE FLOW SOLVERS 2 01 11. 1Theadvectionoperator 2 01 11. 1 .1 Integrationalongcharacteristics 202 11 .1. 2 Taylor–Galerkin 202 11 .1. 3 Edge-basedupwinding 203 11 .2Thedivergenceoperator ... 211 11 .8Projectivepredictionofpressureincrements 212 11 .9Examples 213 11 .9 .1 vonKarmanvortexstreet 213 11 .9.2 NACA0 012 wing . 216 11 ....

Ngày tải lên: 06/08/2014, 01:21

... derive. 1 2 3 4 lpoed (1, 1) =1 lpoed (2 ,1) =2 lpoed (1, 2) =2 lpoed (2, 2)=3 lpoed (1, 3)=3 lpoed (2, 3) =1 lpoed (1, 4) =1 lpoed (2, 4)=4 lpoed (1, 5) =2 lpoed (2, 5)=4 lpoed (1, 6)=3 lpoed (2, 6)=4 1 2 3 4 5 6 Figure 2. 7. ... z min )/nsubz, DATA STRUCTURES AND ALGORITHMS 27 1 1 3 4 2 2 3 1 4 Root x y x 1 Root x y 2 1 1 2 2 31 1 32 1 3 54 2 2 3 1...

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... and shape. 54 APPLIED COMPUTATIONAL FLUID DYNAMICS TECHNIQUES z x y x x g g g side face -2 -3 -1 -f -g Figure 3 .19 . Face–side intersection With the notation defined in Figure 3 .19 , the intersection ... al. (19 90), Joe (19 91a,b), George (19 91) , George et al. (19 91b), George and Hermeline (19 92), Weatherill (19 92), Weatherill et al. (19 93a), Müller (19 93) M...

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... side d=min(d1,d2) d2 d1 n 2 n 1 Figure 3 .43 . Choice of diagonal for prism faces 1 2 3 12 : up 23: up 31: down 1 2 3 12 : up 23: down 31: down Figure 3 .44 . Possible subdivision patterns for prisms 76 APPLIED COMPUTATIONAL FLUID DYNAMICS ... APPLIED COMPUTATIONAL FLUID DYNAMICS TECHNIQUES Surfacex x linearcubic n s n 0 Figure 3 .42 . Blending of smoothed and uns...

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... (4.2b) Applied Computational Fluid Dynamics Techniques: An Introduction Based on Finite Element Methods, Second Edition. Rainald Lửhner â 2008 John Wiley & Sons, Ltd. ISBN: 97 8-0 -4 7 0 -5 19 0 7-3 ... y 0 log c , (3 .54 ) and the total thickness of the semi-structured grid region is δ = c n +1 − 1 c − 1 y 0 . (3 .55 ) Typical values for c are 1. 10 <c< ;...

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... n t DNS 10 6 10 6. 4 10 3.2 10 8.4 10 4.2 10 13 .6 10 6. 8 10 7 10 6. 8 10 3.4 10 8.8 10 4.4 10 15 .2 10 7 .6 10 8 10 7.2 10 3 .6 10 9.2 10 4 .6 10 16 .8 10 8.4 10 9 10 7 .6 10 3.8 10 9 .6 10 4.8 10 18 .4 10 9.2 implying ... h 2 −h 2 −h 2 −h 2 2h 2   ·   ˆu 1 ˆu 5 ˆu 4   = 1 2   10 1 01 1 1 12   ·   ˆu 1 ˆu...

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... = h 6  21 12  , (8 .12 a) D 1 = a  N i N j ,x = a 2  11 11  , (8 .12 b) D 2 =−  N i ,x N j ,x dx =− 1 h  1 1 11  . (8 .12 c) Assembly of all element contributions yields h 6     21 1 41 1 41 12     ·     u 1 u 2 u 3 u 4     ,t = −a 2     11 10 1 10 1 11     ·     u 1 u 2 u 3 u 4     . ... (nested 1- D): 2h 6 (u 2 i 1 + 4u 2...

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... quantities: 18 2 APPLIED COMPUTATIONAL FLUID DYNAMICS TECHNIQUES 0 0 .1 0.2 0.3 0.4 0.5 0.6 0.7 0 .8 0.9 1 1 .1 0 2 4 6 8 10 DENSITY X-COORDINATE Exact FEFLO -0 .2 0 0.2 0.4 0.6 0 .8 1 1.2 0 2 4 6 8 10 VELOCITY X-COORDINATE Exact FEFLO 0 0 .1 0.2 0.3 0.4 0.5 0.6 0.7 0 .8 0.9 1 1 .1 0 ... al. (19 84 )) u =tu ,t + t 2 2 u ,tt     n+ . (8. 22) 16 8...

Ngày tải lên: 06/08/2014, 01:21

... (Weatherill et al. ( 19 93 b)); or - by evaluation of gradients (Whitaker et al. ( 19 89) , Luo et al. ( 19 93 , 19 94 a)). 204 APPLIED COMPUTATIONAL FLUID DYNAMICS TECHNIQUES A Galerkin or central-difference discretization ... combinations Velocity Pressure Operator p1 q0 ( 0, 1, 2, 1, 0) p1 p1 ( 1, 0, 2, 0, 1) iso-p1 p1 ( 1, 1, 4, 1, 1) In particular, we note that the p1...

Ngày tải lên: 06/08/2014, 01:21

... SOLVERS 215 -0 .4 -0 .2 0 0.2 0.4 0.6 0.8 10 0 10 5 11 0 11 5 12 0 12 5 13 0 13 5 14 0 14 5 15 0 Vertical Force Time Explicit Advection Theta=0.50 Theta=0.60 Theta =1. 00 (c) -0 .4 -0 .3 -0 .2 -0 .1 0 0 .1 0.2 0.3 0.4 0 ... 3.08 Ex30.6 0. 012 16 60 3296 3.92 Ex50.8 0. 016 12 45 32 01 4.03 Ex 51. 2 0.025 830 15 46 8.36 Ex 51. 6 0.033 623 11 14 11 .60 Ex 5...

Ngày tải lên: 06/08/2014, 01:21

... notation of Figure 13 .19 , we can write x p = x 0 + i i g i , (13 .20 ) where g 1 ,2 = x 1 ,2 x 0 , g 3 = g 1 ì g 2 |g 1 ì g 2 | , (13 . 21 a,b) 1 ,2 = N 1 ,2 , 0 = 1 −α 1 − α 2 . (13 . 21 c,d) Point x p may ... (or L2 projection)  N i 2 N j 2 d ˆu j2 =  N i 2 N j 1 d ˆu j1 . (13 . 12 ) This may be expressed in matrix form as M c u 2 = r = Lu 1...

Ngày tải lên: 06/08/2014, 02:20

... ADAPTIVE MESH REFINEMENT 27 9 1 12 Level 0 1 N 2 N 1 12 1 N 2 N 1 12 Level 1 1 N 2 N 1 12 1 N 2 N 33 3 N 3 N 1 12 1 N 2 N 1 12 1 N 2 N 3 3 N (c)(b)(a) (a) (b) (c) Figure 14 .2. Mesh enrichment (a) ... INTERPOLATION 26 7 Table 13 .2. Particle-mesh interpolation timings ON=F,OFF=V ON=F Particle-tracing time (s) 25 7.0 17.6 MFLOP-rate recorded 1.11 20 . 82 Total runn...

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... 2. 92 2 .36 IBM-6000/ 530 1000 2- ChainTetra 2. 63 2. 62 IBM-6000/ 530 10 000 Edge 13. 4 1.00 IBM-6000/ 530 10 000 Triangle 7 .21 1.85 IBM-6000/ 530 10 000 Tetrahedron 5 .26 2. 54 IBM-6000/ 530 10 000 2- ChainTetra ... ipoi0-related arrays. However, such a specialized EFFICIENT USE OF COMPUTER HARDWARE 30 7 121 32 4 524 635 871089101111 1 nedge 121 32 4 524 635 871089101111 1 np...

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... Configuration: nedge =4, 179,771 mvecl % reduced i/a nvecl % reduced i/a nvecl 64 97 .22 63 97 .22 63 128 93.80 127 98.36 121 25 6 89 .43 25 5 97.87 22 3 5 12 86.15 510 97 . 24 3 84 1 0 24 82. 87 1018 96.77 608 20 48 79.30 20 26 ... 24 8 79 24 8 7– 12 23 776 23 776 13–18 7136 7136 19 24 0 21 44 25 –30 1 0 24 1 0 24 31–36 0 1 0 24 37– 42 0 336 Table 15.17. Inlet problem on...

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... 360 APPLIED COMPUTATIONAL FLUID DYNAMICS TECHNIQUES Mach-nr. (1. 025 , 3. 025 , 0.05) (a) (c) Mach-nr. (1. 025 , 3. 025 , 0.05) ( b ) Figure 16. 6. Macro-blocking: (a) one layer ... 1.00 Seque 518 1.17 10 30 22 7 2. 69 20 30 21 8 2. 80 Block 1 26 0 2. 35 420 00 elements respectively. The residual curves for the three different cases are compared in Figure 16. 8(e). As one c...

Ngày tải lên: 06/08/2014, 02:20