Ciclo de Palestras – PPGMMat/UFPel

Data: 14 de agosto de 2025
Hora: 14h00
Local: Sala 114, prédio 16 – IFM, Campus Capão do Leão

Palestrante: Bardo E.J. Bodmann (UFRGS)

Título:
On the equivalence between geometry with boundary and interface conditions and path length distributions in stochastic transport problems

Resumo:
Transport problems of realistic scenarios are quite often modelled by propagation approaches in segmented domains. One of the methods used as solver for transport equations such as the Boltzmann equation is the Monte Carlo approach. Especially physical Monte Carlo implementations are closer in their setup when compared to the original physical problem, but usually demand power computing resources to provide acceptable results, which may then be cast in parametrised representations. Although nowadays this is in principle no longer an issue, one can still resort to other methods, such as the one presented in this work and substitute restrictions by boundary conditions using path length distributions, purely in one of the subdomains, crossing one border between subdomains and other more complex configurations depending on the domain structure.
Since the dynamics implemented by a physical Monte Carlo obeys predefined distributions, which characterize the interaction details, one may also include the effect of boundaries and interfaces in form of distributions of the path lengths, which correspond to one of the previously sketched categories. We show the equivalence by both the geometric boundary and the “stochastic boundary” approach by a simulation of a neutron criticality benchmark experiment and show compatibility, which in turn opens a pathway to setup a Monte Carlo simulation based purely on distributions. Evidently, these have to be determined at least partially by previous but purely geometric simulations. The final Monte Carlo process combines then path length distributions and related tracking with interactions in the spirit of the GEANT paradigm. As a result we compare the spectral neutron flux as determined by both methods.

Transmissão pelo YouTube @ppgmmatufpel