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Monte Carlo Particle Transport Methods: Neutron and Photon - gnssn

Monte Carlo Particle Transport Methods: Neutron and Photon - gnssn

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74 <strong>Monte</strong> <strong>Carlo</strong> <strong>Particle</strong> <strong>Transport</strong> <strong>Methods</strong>: <strong>Neutron</strong> <strong>and</strong> <strong>Photon</strong> Calculations' Method 02 NSelect p ;, p,. p,, p 4 ayesp, < exp -a : (2x - 1)" /Select P 1j y c sq = a(2x - 1),- (P + a£Pi1-I 2ayesq = p*( Method P2Select P 1. p,Computez = max(p,, p,)j PI a(X + 1) J jFIGURE 3B.2 (continued).The azimuth is practieally exclusively assumed to be uniformly distributed over (0,2ir),thus either direct angle sampling or the two dimensional r<strong>and</strong>om orientation sampling ofvon Neumann (see Section 2.1.J) can be applied.The energy of the outgoing particle can be determined from Equation (3.11) for elasticscatterings <strong>and</strong> Equation (3.21) is to be used for inelastic scattering — if the angle (<strong>and</strong> theexcitation energy, in the second case) is known.Therefore, in the conventional method of energy <strong>and</strong> angle selection one samples the(cosine of the) angle <strong>and</strong> then compute the energy.Many different methods have been developed, four methods are cited here.

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