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cam3=cam31 et cam32; camb=cam1 et cam2 et cam3; elim tol camb; c1=p23m d 7 p21m; c2=p21m d 7 p25m; c3=p25m d 7 p24m; c4=p24m d 7 p23m; cam4b=daller c1 c2 c3 c4 plan; vz3=0 0 1.404; cam4=cam4b 'VOLU' 4 'TRAN' vz3; cam=camb et cam4; elim tol cam; * fluid=fluidc et cam; elim tol fluid; * gas=gas et cam; * surfc=enve fluid; fsrn=chan poi1 surfc; fsrn=fsrn diff fsan; *trac oeil fsrn; * vert=p2 moin p1; p0t=p0 plus vert; p1t=p1 plus vert; p17t=p17l plus vert; blocall=struc poin plan p0t p1t p17t tol; * tpn1 = struc poin proc p6; tpn2 = struc poin proc p5; tpn3 = struc poin proc (2.2 0 10.211111); tpn = tpn1 et tpn2 et tpn3; * mesh=fluid et struc et blocall et fsan et fsrn et tpn; tass mesh; * nn='NBEL' struc; coco='CHAI' 'Elements in struc =' nn; mess coco; nn='NBEL' fluid; coco='CHAI' 'Elements in fluid =' nn; mess coco; nn='NBNO' struc; coco='CHAI' 'Nodes in struc =' nn; mess coco; nn='NBNO' fluid; coco='CHAI' 'Nodes in fluid =' nn; mess coco; nn='NBNO' blocall; coco='CHAI' 'Nodes in blocall =' nn; mess coco; nn='NBNO' fsan; coco='CHAI' 'Nodes in fsan =' nn; mess coco; nn='NBNO' fsrn; coco='CHAI' 'Nodes in fsrn =' nn; mess coco; * opti sauv form 'vl_jrc_cavi51.msh'; sauv form mesh; opti trac psc; trac cach mesh; list(nbel str3); fin; 8
The EUROPLEXUS input file reads: CAVI - 51 $ ECHO !CONV win CAST MESH TRID NONL ALE $ DIME PT6L 1561 PT3L 9913 FL38 7664 COQI 3072 ZONE 2 NALE 521 NBLE 4639 nepe 160 ECRO 868832 mtti 10 TERM $ GEOM FL38 fluid COQI struc TERM $ COMP EPAI 0.13 LECT stra TERM 0.15 LECT strb TERM 0.1968 LECT strc TERM COUL roug LECT bull TERM bleu LECT liqu TERM turq LECT gas CAM TERM jaun LECT struc TERM $ GRIL LAGR LECT struc TERM EULE LECT cam fsan fsrn TERM ALE LECT fluid TERM AUTO AUTR $ MATE $ steel VM23 RO 7800. YOUNG 1.6E11 NU 0.333 ELAS 1.05E8 TRAC 2 1.05E8 .656256E-3 1.6105E10 1.00066 LECT struc TERM FLMP NLIQ 1 NGAS 2 $ WT0 liquid water FLUT RO 1000.0454482d0 EINT 0.0d0 GAMM 7.15d0 PB 3.010d9 ITER 1 ALF0 1 RREF 1000.0d0 CONV 0.1d0 BET0 1 KINT 0 AHGF 0 CL 0.5 CQ 2.56 PMIN 0 NUM 8 LECT liqu TERM $ high-pressure perfect gas (explosive bubble) FLUT RO 954. EINT 3.010E6 GAMM 1.4 PB 0 ITER 1 ALF0 1 BET0 1 KINT 0 AHGF 0 CL 0.5 CQ 2.56 PMIN 0 NUM 1 LECT bull TERM $ air FLUT RO 1.2 EINT 2.0833E5 GAMM 1.4 PB 0 ITER 1 ALF0 1 BET0 1 KINT 0 AHGF 0 CL 0.5 CQ 2.56 PMIN 0 NUM 1 LECT gas CAM TERM $ LINK COUP BLOQ 123456 LECT blocall TERM FSA LECT fsan TERM FSR LECT fsrn TERM $ ECRI DEPL VITE ECRO TFRE 1.E-3 POIN LECT 1 TERM ELEM LECT 1 PAS 1 10 TERM FICH ALIC TFRE 5.E-4 FICH ALIC TEMP TFRE 5.E-5 POIN LECT tpn TERM ELEM LECT 1 TERM $ OPTI NOTE momt 2 9
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European Laboratory for Structural
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Proceedings of a Course on: Numeric
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Programme of the Course 1. Introduc
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Credits & Acknowledgments • Struc
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Introductory Example (4) 7 Applicat
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x Computational Framework • Gover
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n+ 1 n ∆t n n+ 1 u = u + ( u + u
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Scheme start-up and marching (2)
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Stress Update • To solve the equi
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Geometric non-linearities (3) Set u
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Essential Boundary Conditions Essen
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Exercise 0 - Ideal ballistics • M
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Exercise 0 - Ideal ballistics (5)
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Exercise 1 - Suspended mass (3) •
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Exercise 1 - Suspended mass (7) •
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Exercise 2 - Wave propagation (4)
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Exercise 3 - Impact on Cooling Towe
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TITLE: PMAT04: motion of projectile
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sinon; tra2 = tra2 et ele; finsi; f
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Some results: horizontal and vertic
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PMAT01E This test is similar to PMA
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Hence: 11 −8 ES 2× 10 ⋅ 2.5×
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The stress history is: Note that th
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Analytical TEST11 Same as TEST01 bu
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Comparison of natural vs. engineeri
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The total external forces at the tw
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TEST13 Same as TEST01 but uses a 10
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The mass returns at the initial pos
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TEST22 To verify the independence o
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Linear dynamic analysis Consider th
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• The two waves f and g propagate
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Analytical solution For the bar imp
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Note that we have also put the Pois
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BARI08 We study the effect of the t
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ENDPLAY *==========================
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BARI10 Same as BARI09 but compares
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The system is initially at rest, an
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CAST MESH TRID NONL LAGR $ $ Dimens
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Final deformation (with superposed
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Detailed Contents • Modeling the
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Modeling the fluid domain • The f
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Euler equations (3) • For a compr
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Time integration Each time incremen
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Time integration (5) 10. Account fo
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Euler Equations (FV) • They are w
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Mesh rezoning - motivations • Rez
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Giuliani’s automatic rezoning •
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• Analytical solution (self-simil
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Shock tube (6) • Influence of pse
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Exercise 2 - Explosion in air-fille
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Exercise 3 - Bubble expansion in a
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Exercise 4 - External blast on two
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Geometric data: The calculation is
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SHOC01 Eulerian, “average” pseu
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COUR 7 'ro_a' ECRO COMP 2 ELEM LECT
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Analytical Conclusion: the pseudo-v
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SHOC13 Eulerian, very low pseudo-vi
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Analytical General conclusions: •
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The inverse path is not so straight
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The input files (mesh generation by
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Geometric data: The calculation is
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COUR 1 'dx_4' DEPL COMP 1 NOEU LECT
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TANK02 Eulerian solution: the whole
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The final pressure distribution is:
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TUBE06 Lagrangian solution: the who
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And the final velocity distribution
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The computed displacements are: To
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43 30 30 43 44 31 31 44 45 32 32 45
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Geometric data: External blast in a
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abs4 = dall (p4 d 28 p4u) (p4u d 40
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Geometric data: Internal blast in a
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air = air1 ET air2 ET air3 ET air4
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COURBE 8 'P e_p12' ECROU COMP 1 lec
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3D axisymmetric simulation: JWLS3G
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point lect 1 term elem lect 1 term
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Universitat Politècnica de Catalun
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• Motivation Detailed Contents
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FSI Classification FSI for compress
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The 2-D plane case (2) Use geometri
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Classification of FSI algorithms
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The FSA algorithm (4) The case of s
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The FSCR algorithm Combination of F
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Application to Finite Volumes (3) 2
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Exercise 2 - Explosions in simple d
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Exercise/Example 3 - Wave propagati
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Exercise/Example 4 - CONT problem (
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Exercise/Example 5 - Explosion in a
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Exercise/Example 6 : Woodward-Colel
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Geometry: Exercise/Example 8 Steam
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Exercise/Example 9 Explosion in Sec
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Exercise/Example 9 Explosion in Sec
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Boundary Condition Elements: CLxx (
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Exercise/Example 11 - Perforated Pl
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Exercise/Example 12 - Sloshing (3)
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DIME PT3L 23 PT2L 143 FL24 145 ED01
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The final pressure field in the flu
Page 218 and 219: ALE solution with FSA: it is not po
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Page 222 and 223: and the final velocity field: The s
Page 224 and 225: The final velocities: The final liq
Page 226 and 227: *----------------------------------
Page 228 and 229: TWIS07 We study the phenomenon by a
Page 231 and 232: This is a well-known reactor safety
Page 233 and 234: 1.53330E+00 1.32310E+01 1.15000E+00
Page 235 and 236: 200 199 239 240 200 200 200 240 241
Page 237 and 238: *----------------------------------
Page 239 and 240: The final fluid pressures: CONT02 T
Page 241 and 242: The final fluid velocities: The fin
Page 243 and 244: This example consists in a long 3D
Page 245 and 246: GEOM FL38 flui Q4GS stru TERM COMP
Page 248 and 249: Detail of first diaphragm: Detail o
Page 250 and 251: BOUNDARY CONDITIONS: The step is en
Page 252 and 253: The EUROPLEXUS input file reads: WO
Page 254 and 255: WOCO3D The mesh generation file (K2
Page 256 and 257: * RESU ALIC GARD PSCR * SORT GRAP *
Page 258 and 259: PT3L 16389 PT6L 504 NBLE 16389 NALE
Page 260 and 261: Final pressure distribution: 4
Page 262 and 263: BOUNDARY CONDITIONS: The vessel is
Page 264 and 265: as01=daller c1 c2 c3 c4 plan; * c1=
Page 266 and 267: *trac oeil cach fluidstr; *opti don
Page 270 and 271: log 1 dtml REZO GAM0 0.5 FLMP EPS1
Page 272 and 273: Final structure deformation: Final
Page 274 and 275: LOADING: The event is initiated by
Page 276 and 277: FLUT RO .242777373 EINT 6.865E5 GAM
Page 278 and 279: Final structure velocities: 6
Page 280 and 281: RESULTS: A paper by Bermudez and Ro
Page 282 and 283: The applied displacement and the co
Page 284 and 285: PROBLEM: A rigid tank with a deform
Page 286: The EUROPLEXUS input file reads: GR
Page 289 and 290: PROBLEM: A rigid tank with rigid or
Page 291 and 292: COMP EPAI 0.005 LECT 101 102 103 10
Page 293 and 294: Numerical Solution (flexible bottom
Page 295 and 296: ! VARI DEPL VITE ECRO ! fich alic t
Page 297 and 298: The final pressures in the rigid an
Page 299 and 300: LOADING: A constant gravity in the
Page 301 and 302: Some results: intermediate and fina
Page 305 and 306: Universitat Politècnica de Catalun
Page 307 and 308: ALE description of structures (2)
Page 309 and 310: Example 1 - Taylor bar impact (3) B
Page 311 and 312: Example 3 - Coining (3) Influence o
Page 313 and 314: • Tentative classification: Non-c
Page 315 and 316: Example 4 - Explosion in a 2D box (
Page 317 and 318: Example 6 - LOCA in the HDR (2) A -
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Examples of “Slow” Transient Co
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Examples of Fast Transient Impact
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Components of Contact-Impact Method
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Shortcomings • Slender or distort
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Example - Bar impact • (See Part
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Example 7b - Indentation (2) • 2D
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Example 7b - Indentation (6) • 3D
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Smoothed Particles Hydrodynamics (C
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SPH Formulation (2) • Basic idea:
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SPH impact [Courtesy of Samtech/Son
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PRGL01: Example 8 - SPH impacts (Co
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Spectral Elements • Motivation: l
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Spectral Elements (5) Convergence p
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Example 9 - Closed FE/SE interface
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Example 11 - Cylindrical valley 85
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Performance Optimization • All ex
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Time Step Partitioning (4) • Intr
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Time Step Partitioning (8) • Acti
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Treatment of links in partitioning
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Example 12a - Taylor bar impact rev
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Coupling at the Interfaces • Two
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Coupling at the Interfaces (5) MU T
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Coupling at the Interfaces (9) Time
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Multiple scales in time (3) • Exp
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Multiple scales in space • Furthe
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Multiple scales in frequency • So
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Example: power plant 133 Example: p
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Example: aircraft (3) Thanks to CPU
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Example 14 - Domains in 3D • Thic
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Example 15 - Bar Impact Revisited (
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* mesh=stru et symax et viti et lil
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The displacements are: 4
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c2=p1 d 8 p2; c3=p2 d 20 p3; c4=p3
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The resulting final deformed mesh w
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TERM *-----------------------------
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Geometric data and materials: The b
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BET0 1 KINT 0 AHGF 0 CL 0.5 CQ 2.56
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INFS02 We use a twice finer fluid m
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FREQ 1 GOTR LOOP 60 OFFS FICH AVI C
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Problem description: This example i
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*----------------------------------
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The final velocities: The final for
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*----------------------------------
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The final deformed mesh is: The fin
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pc = 4.5 -1 -1.5; pd = 5.5 -1 -1.5;
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The initial configuration (with par
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TITLE: Indentation problem. PROBLEM
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cp = p0 d 10 p13; elim tol (piece e
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The final velocities: The final dis
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The input file is: INDE - 13 ECHO !
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The final displacement norm: The fi
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elim tol (piece et cp); c_p = piece
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The final deformed shape is: 13
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Numerical Solutions PRGL01 Simplifi
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FOV 2.48819E+01 SCEN GEOM NAVI FREE
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ROMA01 Final plastic streen in the
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SONA01 7
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Final density in the projectile: Fi
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opti echo 0; opti donn 'D:\Users\Fo
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* opti dime 2 elem qua4; p0 = 0 0;
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The final X-displacement in the hyb
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* opti dime 2 elem qua4; opti titr
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VALLPS This calculation assumes a p
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The receiver signal in the coupled
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Problem description: This example r
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CALC TINI 0. TFIN 40.E-3 *=========
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REPETER BCL2 (2); REPETER BCL3 (2);
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*----------------------------------
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The tip displacement in the referen
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LOG 1 DPSD *-----------------------
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TRAC CACH OEIL2 ZONE1; TRAC CACH OE
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The tip displacement in the referen
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$ INIT VITE 2 -227. LECT VITI TERM
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* AXTE 1000.0 'Time [ms]' * COUR 1
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sq41=sq41 coul 'TURQ'; sq42=sq42 co
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The displacements in the case with
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European Commission DG Joint Resear
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