Numerical Simulations - Applications, Examples and Theory

NUMERICAL SIMULATIONS - APPLICATIONS, EXAMPLES AND THEORY......Page 1
Contents......Page 5
Preface......Page 9
Part 1 Particle Physics and Optics......Page 11
1. Introduction......Page 13
2. The relevant equations......Page 15
3. Excitation of the mode n=8 with k=0.3......Page 16
4. Excitation of the modes n=7 and n=8 with k......Page 31
5. Conclusion......Page 45
7. References......Page 46
1. Introduction......Page 49
2. PIC simulation of the screening of the electric field at the cathode surface under intense field emission......Page 51
3. Numerical simulation of vacuum prebreakdown phenomena at subnanosecond pulse durations......Page 61
4. Initiation of an explosive center beneath the plasma of a vacuum arc cathode spot......Page 65
5. Conclusion......Page 73
7. References......Page 74
1. Introduction......Page 77
2. Simulated devices......Page 80
3. Description of the simulation code......Page 81
4. Simulation of multiple-gate devices......Page 86
5. Device scaling......Page 92
7. References......Page 94
1. Introduction......Page 119
2. Review of photon echoes......Page 120
3. Modified photon echoes for quantum memory applications......Page 123
4. Optical locking......Page 125
5. Phase matching in optical locking......Page 127
7. References......Page 128
1. Introduction......Page 131
2. Governing equations......Page 133
3. Pulse-shaping and X-waves in normal dispersion cavities......Page 136
4. Averaged evolution models......Page 138
5. Optimizing for high-power......Page 141
6. Suppression of multi-pulsing for increased pulse energy......Page 145
7. Beam combining with WGAs......Page 152
9. Acknowledgements......Page 154
10. References......Page 155
1. Introduction......Page 159
2. Monte Carlo simulations......Page 161
3. Monte Carlo simulations applied to the microcirculation domain......Page 171
5. References......Page 180
Part 2 Electromagnetics......Page 183
1. Introduction......Page 223
2. Mathematical model of reflector antenna in radiation and receiving modes......Page 224
3. Results of numerical simulation and its discussion......Page 233
4. Conclusion......Page 244
5. References......Page 245
1. Introduction......Page 247
2. Model and equations......Page 249
2. Results and discussion......Page 256
3. References......Page 259
Part 3 Materials......Page 261
1. Introduction......Page 263
2. Formulation of continuous elastic-plastic contact problem......Page 264
3. Numerical solution of the elastic part......Page 266
4. Numerical solution of the residual part......Page 268
5. Numerical solution of the elastic-plastic contact problem......Page 277
6. Numerical simulations and program validation......Page 278
6. Conclusions......Page 287
8. References......Page 288
1. Introduction......Page 291
2. Main aspects of explicit FEM......Page 292
3. Some case studies from manufacturing......Page 296
4. Biomechanical problems in crashworthiness studies......Page 306
5. Case studies from crashworthiness analyses......Page 308
6. Conclusions......Page 318
7. References......Page 319
1. Introduction......Page 321
2. Inverse methodology......Page 322
3. Small punch test (SPT)......Page 324
4. Numerical simulation of the SPT......Page 325
5. Model calibration and sensitivity analysis......Page 328
6. Characterization methodology and results......Page 329
8. References......Page 339
1. Introduction......Page 341
2. State-of-the-art of LSP simulation......Page 342
3. LSP modeling and simulation procedures......Page 345
4. Simulation case studies......Page 348
6. References......Page 361
1. Introduction......Page 365
2. Quality of welded joint......Page 367
3. Optimal algorithms of pulsed control of the energy parameters of the welding process......Page 369
4. Mathematical modelling of heat and mass transfer in pulsed arc welding by melting electrode......Page 372
5. Conclusion......Page 384
6. References......Page 386
1. Introduction......Page 387
2. Solving of the non-stationary nonlinear coupled thermal-structural problem by finite element method......Page 388
3. Mathematical modeling and forecasting of mechanical properties of singleand multi-component powder materials......Page 391
5. References......Page 409
1. Introduction......Page 411
2. Important......Page 412
3. Information......Page 413
5. References......Page 423
2. Methodology......Page 425
3. Results......Page 426
6. References......Page 431
Part 4 Electrohydraulic Systems......Page 433
1. Introduction......Page 435
2. The stability of electrohydraulic servomechanisms developed with electrohydraulic amplifiers of variable area gradient......Page 436
3. Optimization of hydrostatic transmissions by means of virtual instrumentation technique......Page 443
4. Conclusions......Page 455
5. References......Page 456
1. Introduction......Page 457
2. Laser modular systems made for equipping the ground leveling installations......Page 459
3. Simulating the real operational conditions of the laser module by an original test bench......Page 460
4. Basic mathematical model of the test bench components......Page 461
5. AMESIM design facilities......Page 465
6. Numerical simulation and experimental identification of the laser controlled modular system by AMESim......Page 467
8. References......Page 481
Part 5 Numerical Methods......Page 483
2. Terminology and relevant concepts......Page 485
3. Local error control in RK......Page 489
5. Numerical examples......Page 493
7. Conclusion and scope for further research......Page 497
8. References......Page 498
2. Short scheme of semi-statical method......Page 499
3. Statement of the problem of blade cascade flow......Page 501
4. Scheme of application of semi-statical method to the problem of blade cascade flow......Page 502
5. Results of computational modeling......Page 504
6. Analysis of effectiveness of density adaptation......Page 505
7. Conclusions......Page 507
8. References......Page 508
Part 6 Safety Simulation......Page 509
1. Introduction......Page 511
2. Numerical simulation in the current nuclear safety context......Page 512
3. Current practice of advanced numerical simulation in nuclear safety......Page 513
4. Advanced numerical simulation and safety demonstration of GEN IV concepts......Page 522
5. Conclusion......Page 526
6. References......Page 528