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FLUT RO 2.4278E3 EINT 0. GAMM 0.75D0 CL 0.5 CQ 2.56 PB 0. PMIN 0. AHGF 0. ITER 2 ALF0 1. BET0 1. KINT 0 NUM 4 LECT bull TERM FLUT RO .242777373 EINT 6.865E5 GAMM 1.6 CL 0.5 CQ 2.56 PB 0. PMIN 0. AHGF 0. ITER 2 ALF0 1. BET0 1. KINT 0 NUM 1 LECT gas TERM mass 1.0 lect 300 term *----------------------------------------------------Boundary conditions LIAIS freq 1 RENUM BLOQ 1 LECT 1 2 47 48 49 50 73 74 102 103 131 132 160 161 189 190 231 232 260 261 289 290 318 319 347 348 354 TERM 2 LECT 47 PAS 1 50 348 PAS 1 354 TERM 3 LECT 1 2 47 48 TERM *UNIL 2 -1 20.99 LECT 341 PAS 1 347 TERM 12 lect 355 term impa ddl 2 cote -1 proj lect 300 term cibl lect 341 pas 1 347 term LINK DECO FSS ALE NCOT 26 LECT 1 3 1 320 319 0 0 0 0 1 0 TERM LECT 2 5 3 321 320 0 0 0 0 1 1 TERM LECT 3 7 5 322 321 0 0 0 0 1 1 TERM LECT 4 9 7 323 322 0 0 0 0 1 1 TERM LECT 5 11 9 324 323 0 0 0 0 1 1 TERM LECT 6 13 11 325 324 0 0 0 0 1 1 TERM LECT 7 15 13 326 325 0 0 0 0 1 1 TERM LECT 8 17 15 327 326 0 0 0 0 1 1 TERM LECT 9 19 17 328 327 0 0 0 0 1 1 TERM LECT 10 21 19 329 328 0 0 0 0 1 1 TERM LECT 11 23 21 330 329 0 0 0 0 1 1 TERM LECT 12 25 23 331 330 0 0 0 0 1 1 TERM LECT 13 27 25 332 331 0 0 0 0 1 1 TERM LECT 14 29 27 333 332 0 0 0 0 1 1 TERM LECT 15 31 29 334 333 0 0 0 0 1 1 TERM LECT 16 -33 31 -335 334 0 0 0 0 1 1 TERM LECT 24 51 49 201 199 52 50 202 200 1 -1 TERM LECT 25 53 51 203 201 54 52 204 202 1 1 TERM LECT 26 55 53 205 203 56 54 206 204 1 1 TERM LECT 27 57 55 207 205 58 56 208 206 1 1 TERM LECT 28 59 57 209 207 60 58 210 208 1 1 TERM LECT 29 61 59 211 209 62 60 212 210 1 1 TERM LECT 30 63 61 213 211 64 62 214 212 1 1 TERM LECT 31 65 63 215 213 66 64 216 214 1 1 TERM LECT 32 67 65 217 215 68 66 218 216 1 1 TERM LECT 33 69 67 219 217 70 68 220 218 -1 1 TERM NPOI 28 LAGR NCT1 10 LECT 277 -334 335 TERM LECT 278 335 336 TERM LECT 279 336 337 TERM LECT 280 337 338 TERM LECT 281 338 339 TERM LECT 282 339 340 TERM LECT 283 340 198 TERM LECT 34 198 221 TERM LECT 35 221 341 TERM LECT 292 341 348 TERM NPOI 11 NCT2 8 LECT 16 -31 33 TERM LECT 17 33 35 TERM LECT 18 35 37 TERM LECT 19 37 39 TERM LECT 20 39 41 TERM LECT 21 41 43 TERM LECT 22 43 45 TERM LECT 23 45 47 TERM NPOI 9 *----------------------------------------------------------------Outputs ECRITURE COOR DEPL VITE CONT ECRO TFRE 250.E-3 POIN LECT 1 74 102 59 69 341 347 43 332 TERM ELEM LECT 36 63 292 297 34 262 1 21 TERM fich alic temp FREQ 1 POIN LECT 1 74 102 59 69 341 347 43 332 TERM ELEM LECT 36 63 292 297 34 262 1 21 TERM FICH ALIC TFRE 2.5E-3 6
*----------------------------------------------------------------Options OPTI AMORT QUAD 2.56 NOTEST NOCR LECT 292 PAS 1 297 183 196 TERM cstab 0.45 REZO GAM0 0.8 log 1 *--------------------------------------------------Transient calculation CALC TINI 0.0 DTMI 1E-9 TEND 250.E-3 *=========================================================POST-TREATMENT SUIT Post-treatment ECHO RESU ALIC TEMP GARD PSCR SORT GRAP AXTE 1000.0 'Time [ms]' *------------------------------------------------------Curve definitions COUR 1 'dy_1' DEPL COMP 2 NOEU LECT 1 TERM COUR 2 'dy_341' DEPL COMP 2 NOEU LECT 341 TERM *------------------------------------------------------------------Plots trac 1 2 axes 1.0 'DISPL. [M]' yzer *--------------------------------------------------Results qualification QUAL DEPL COMP 2 LECT 1 TERM REFE -6.27942E-2 TOLE 1.E-2 DEPL COMP 2 LECT 341 TERM REFE 4.39215E-1 TOLE 1.E-2 *======================================================================= FIN 7
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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
Page 185 and 186: Exercise 2 - Explosions in simple d
Page 187 and 188: Exercise/Example 3 - Wave propagati
Page 189 and 190: Exercise/Example 4 - CONT problem (
Page 191 and 192: Exercise/Example 5 - Explosion in a
Page 193 and 194: Exercise/Example 6 : Woodward-Colel
Page 195 and 196: Geometry: Exercise/Example 8 Steam
Page 197 and 198: Exercise/Example 9 Explosion in Sec
Page 199 and 200: Exercise/Example 9 Explosion in Sec
Page 201 and 202: Boundary Condition Elements: CLxx (
Page 203 and 204: Exercise/Example 11 - Perforated Pl
Page 205 and 206: Exercise/Example 12 - Sloshing (3)
Page 207 and 208: Exercise/Example 12 - Sloshing (7)
Page 209: Exercise/Example 12 - Sloshing (11)
Page 214 and 215: DIME PT3L 23 PT2L 143 FL24 145 ED01
Page 216 and 217: The final pressure field in the flu
Page 218 and 219: ALE solution with FSA: it is not po
Page 220 and 221: 120 119 138 139 121 120 139 140 122
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: 200 199 239 240 200 200 200 240 241
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 268 and 269: cam3=cam31 et cam32; camb=cam1 et c
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
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The EUROPLEXUS input file reads: GR
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PROBLEM: A rigid tank with rigid or
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COMP EPAI 0.005 LECT 101 102 103 10
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Numerical Solution (flexible bottom
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! VARI DEPL VITE ECRO ! fich alic t
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The final pressures in the rigid an
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LOADING: A constant gravity in the
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Some results: intermediate and fina
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Universitat Politècnica de Catalun
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ALE description of structures (2)
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Example 1 - Taylor bar impact (3) B
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Example 3 - Coining (3) Influence o
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• Tentative classification: Non-c
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Example 4 - Explosion in a 2D box (
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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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