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

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Integro-differential – Discretized formulation• Discretized angular variable – DiscreteOrdinates (Sn) method: considering aconservation criteria,ˆmA set of { ˆ , w m } obtained, and.m ˆ . ( , , ) ( , ) ( , , ˆ r E r E r E ) q(r,E,ˆmmm), m=1, M0.20.4V20.60.8110.80.6V10.40.2X10000• Discretized spatial variable:Integrated over fine meshes using Finite Volume or FEmethodsm,g,AVdVijkg ( r ) m,gVijk( r )• Discretized energy variable:Multigroup approach: Energyrange, e.g., [0, 20 MeV], ispartitioned into G groups,g=5g=4g=3g=2g=1Where,Nuclear EngineeringProgram 10
Monte Carlo Methods• Perform an experiment on a computer; “exact”simulation of a physical processPathlengthr lntType ofcollision stScattering angle(isotropicscattering)0 21SampleS (r, E, Ω)absorbedabsorbedabsorbedTally (count)Variance Reduction techniques are need for real‐world shielding problems!Nuclear EngineeringProgram11
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 and 8: What is Particle Transport Theory?D
Page 9: Deterministic - Linear Boltzmann Eq
Page 13 and 14: Therefore, hybrid methods are neede
Page 15 and 16: VT3G ‐Advanced Computer codes/For
Page 17 and 18: Nuclear Power• Development of adv
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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