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A Parallel Krylov-Based Adjoint Sensitivity Analysis Procedure

R. T. Evans, D. G. Cacuci

Nuclear Science and Engineering / Volume 172 / Number 2 / Pages 216-222

October 2012


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We have implemented the first-order adjoint sensitivity analysis procedure (ASAP) into the three-dimensional parallel radiation transport code system Denovo, a module of the SCALE software suite. In particular, we used a Krylov-based approach to compute the solution to the inhomogeneous adjoint systems occurring in the ASAP. Our implementation, as a component of Denovo's scalable framework, should allow the efficient computation of cross section and atomic number density sensitivity coefficients for critical systems in a massively parallel fashion. We have constructed a proof that the Krylov-based approach converges to a unique solution and compared its computational requirements with the standard algorithm used in the neutron transport community. In addition, we performed a verification of our ASAP implementation on the Godiva experimental benchmark. We found the new approach to be an order of magnitude faster than the standard algorithm in this benchmark.

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