1 - Nuclear Science and Engineering Lab (NSEL) - Virginia Tech

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Simulation Approaches• Deterministic Methods• Solve the linear Boltzmann equation to obtain the expected flux in aphase space• Statistical Monte Carlo Methods• Perform particle transport experiments in a random manner on acomputer to estimate average behavior of a particle in phase spaceNuclear EngineeringProgram8
Deterministic – Linear Boltzmann Equationˆ ˆ .(r,E,)( r,E)(r,E,ˆ) streamingdE'0 4(E)4d' ( r,E'dE's0 4scatteringfissiond'fcollisionˆ ˆ E,' )(r,E',ˆ) Indp. source ˆ ( r,E)(r,E',) S(r,E,ˆ)Nuclear EngineeringProgram 9
Page 1 and 2: Advanced Hybrid Transport Methodolo
Page 3 and 4: Status of VT‐NEP• 5 Core facult
Page 5 and 6: • Leadership: Haghighat, Kulkarni
Page 7: What is Particle Transport Theory?D
Page 11 and 12: Monte Carlo Methods• Perform an e
Page 13 and 14: Therefore, hybrid methods are neede
Page 15 and 16: VT3G ‐Advanced Computer codes/For
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Page 19 and 20: Slide11Medicine• Development of a
Page 21 and 22: TITAN Code SystemTITAN is a 3‐D,
Page 23 and 24: Goal•Simulation of the SPECT (Sin
Page 25 and 26: Nuclear EngineeringProgramNCAT voxe
Page 27 and 28: Discrete ordinatesXHow to model the
Page 29 and 30: Step 2 - Selection of fictitious di
Page 31 and 32: Step 3 ‐ Sn with Fictitious Quadr
Page 33 and 34: Collimator CasesCaseAcceptanceAngle
Page 35 and 36: Maximum difference of TITAN results
Page 37 and 38: Profiles through row 33 ofprojectio
Page 39 and 40: Nuclear EngineeringProgram 39
Page 41 and 42: Further Improvement of COS1. Split
Page 43 and 44: Collimator2.1Normalized Gamma Flux7
Page 45 and 46: Comparison of serial computation ti
Page 47 and 48: To solve 3‐D, real‐world partic

1 - Nuclear Science and Engineering Lab (NSEL) - Virginia Tech

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