Finite element investigations for the construction of composite solutions of even-parity transport equation.
Mirza, Anwar M., Iqbal, Shaukat (2007)
APPS. Applied Sciences
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Mirza, Anwar M., Iqbal, Shaukat (2007)
APPS. Applied Sciences
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Guillaume Bal, Yvon Maday (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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This paper is concerned with the coupling of two models for the propagation of particles in scattering media. The first model is a linear transport equation of Boltzmann type posed in the phase space (position and velocity). It accurately describes the physics but is very expensive to solve. The second model is a diffusion equation posed in the physical space. It is only valid in areas of high scattering, weak absorption, and smooth physical coefficients, but its numerical...
P. Kaluđerčić, I. Demirdžić (1991)
Matematički Vesnik
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Hanuš, Milan, Berka, Tomáš, Brandner, Marek, Kužel, Roman, Matas, Aleš
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We present a method for solving the equations of neutron transport with discretized energetic dependence and angular dependence approximated by the diffusion theory. We are interested in the stationary solution that characterizes neutron fluxes within the nuclear reactor core in an equilibrium state. We work with the VVER-1000 type core with hexagonal fuel assembly lattice and use a nodal method for numerical solution. The method effectively combines a whole-core coarse mesh calculation...