Abstract
The Adaptive Collision Source (ACS) method can solve the Linear Boltzmann Equation (LBE) more efficiently by adaptation of the angular quadrature order. This is similar to, and essentially an extension of, the first collision source method. Previously, the ACS methodology has been implemented into the TITAN discrete ordinates code, and has shown speedups of 2-4 on a simple test problem, with very little loss of accuracy (within a provided adaptive tolerance). This work examines the use of the ACS method for a more realistic problem: pressure vessel dosimetry with the VENUS-2 MOX-fuelled reactor dosimetry benchmark. The ACS method proved to be able to obtain accurate results while being approximately twice as efficient as using a constant quadrature in a standard source iteration scheme.
Highlights
Selection of an appropriate angular quadrature is one of the difficulties with the discrete ordinates method
The Adaptive Collision Source (ACS) methodology has been implemented into the TITAN discrete ordinates code, and has shown speedups of 2–4 on a simple test problem, with very little loss of accuracy
This work examines the use of the ACS method for a more realistic problem: pressure vessel dosimetry with the VENUS-2 MOX-fuelled reactor dosimetry benchmark
Summary
Selection of an appropriate angular quadrature is one of the difficulties with the discrete ordinates method. Using a quadrature order that is too low will result in large errors from ray effects, while using an order too high greatly increases computation time. We only solve for the i-th collided flux, and allow for the possibility of using different angular quadrature orders for each. We call this scheme the adaptive collision source (ACS) method [3, 4]. This methodology has been implemented into the TITAN discrete ordinates transport code [5] and has shown excellent ability to improve the efficiency of simple transport calculations. We discuss the ACS method as applied reactor dosimetry with the VENUS-2 problem
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