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1 Simulation Engineering Solution s NS Plant Designing Corporation
2 Contents
3 2014 1
4 2 2014
5 2014 3
6 4 2014
7 - i u j
8 N= 0.3N =200 mm N=1581.9N
9 Z Y X
10 by Marc)
11 CFDEM LIGGGHTS DEM CFD CFD DEM(MPI)
12 0s 2s 5s 10s 15s 20s [K] 0s 2s 5s 10s 15s 20s 0.2s 0.5s 1s 2s 3s 0.2s 0.5s 1s 2s 3s
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13 [m] 0s 0.5s 1s 1.5s 2s
14 tetrahedralize
15 2 tan K Ieq 1 K eq I K B K 2K 2 2 K 8( ) eq K III K K K E' VCCM I G I G VCCM E' VCCM G G G VCCM 2 VCCM G VCCM G VCCM K eq K I K 2 I , da dn C 2 K 4 K 2 1 II 1 K m eq 2 III
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17
18
19 * ' ( jk ) ' ( jk ) jt P A e B e e Acosh( jk) B sinh( jk) e jt S jt X Asinh( jk) B cosh( jk) e a X * X 2 * P 2 * R P 2 a t 2 1 P 2 2 a t P i P i1 X i X i1 l, a * a P cosh( jk ) l sinh( jk ) l i1 P S i S X i 1 sinh( jk ) l cosh( jk ) l i a P 1 0 i1 Pi V X j 1 i1 2 a i Pi 1 1 Pi X i i 10,
20
21 Re cm 1 m/s Re / (NS ) () 2 Large Eddy Simulation (LES) 3 NS (Reynolds Averaged Navier-Stokes) (RANS ) RANS NS RANS 10,
22 NS RANS (Reynolds Stress Model : RSM) k - 6 RANS 7 k - 3 k k RANS k k - k - ANSYS FLUENT RNG k - (renormalization group, RNG) Realizable k - k (realizability) k - SST k - SST k ( RANS ) H.K.Versteeg, W.Malalasekera:, (2011)
23 f ( x) f ( x) ( x x) dx f ( x) f ( x) W ( x x, h) dx f (x) f ( x) f ( x) W ( x x, h) dx
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26 () [Hz] 30 CQUAD4 CTRIA ) tmlford Taurus, Modified model 2)
27 FEM PLAXIS PLAXIS PLAXIS PLAXIS FEM PLAXIS PLAXIS 2D 3D PLAXIS-2D PLAXIS-2D 3D PLAXIS PLAXIS PLAXIS PLAXIS Hardening soil HS small Soft soil Soft soil creep Jointed rock NGI-ADP Hoek-Brown PLAXIS kn/m kn/m x kn/m
28 FEM 15m 10m 1m 10m 3m cm/s 1.5x10-3 m Sr kr 48h 24h 21% 10mmh PLAXIS Van- Genuchten PLAXIS PLAXIS
29
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41 ューョ ューョ ェ LNG Marc MicroAVS MSC.Software Marc MSC Nastran Patran University MSC.Software TEL FAX TEL FAX
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