Zhang, Dingkang; Rahnema, Farzad The adjoint coarse mesh transport (COMET) method and reciprocity relation of response coefficients. (English) Zbl 07503237 J. Comput. Theor. Transp. 45, No. 7, 578-593 (2016). Summary: An efficient response-based adjoint radiation transport method is developed and implemented into the coarse mesh transport (COMET) code. The numerical implementation of the adjoint COMET consists of three steps: local calculations to compute adjoint response coefficients for each unique coarse mesh, global calculations to converge on the core eigenvalue and adjoint partial current moments crossing coarse mesh boundaries, and local construction of the adjoint flux distribution within each coarse mesh. The reciprocity relations between forward and adjoint response functions are also derived. This unique property can be used to compute adjoint response coefficients without solving the local adjoint problems directly. As a result, the computational effort to generate adjoint response coefficients is completely avoided. The adjoint COMET is tested for two applications: adjoint whole-core eigenvalue calculations in the 3D C5G7 benchmark problem, and local calculations of adjoint surface-to-volume fission density response coefficients for a stylized CANDU benchmark problem. These tests have shown that the adjoint COMET method is significantly faster than the Monte Carlo method while maintaining accuracy close to that of Monte Carlo. Cited in 1 Document MSC: 82-XX Statistical mechanics, structure of matter Keywords:coarse mesh transport method; adjoint transport method; reciprocity relations; perturbation theory Software:MCNP PDFBibTeX XMLCite \textit{D. Zhang} and \textit{F. Rahnema}, J. Comput. Theor. Transp. 45, No. 7, 578--593 (2016; Zbl 07503237) Full Text: DOI References: [1] Cacuci, D.; Wacholder, E., Adjoint Sensitivity Analysis for Transient Two-Phase Flow, 1982. Nucl. Sci. Eng., 82, 461 [2] Fang, F.; Pain, C.; Navon, I.; Gorman, G.; Piggott, M.; Allison, P., The independent set perturbation adjoint method: A new method of differentiating mesh-based fluids models, 2011. Int. J. Numer. Methods Fluids, 66, 976-999 · Zbl 1285.76015 [3] Goffin, M.; Baker, C.; Buchan, A.; Pain, C.; Eaton, M.; Smith, P., Minimising the error in eigenvalue calculations involving the Boltzmann transport equation using goal-based adaptivity on unstructured meshes, 2013. J. Comput. Phys., 242, 726-752 · Zbl 1311.82041 [4] Ionescu-Bujor, M.; Cacuci, D., A comparative review of sensitivity and uncertainty analysis of large-scale systems-I: Deterministic methods, 2004. Nucl. Sci. Eng., 147, 189-203 [5] Lewis, E. E.; Palmiotti, G.; Taiwo, T. A.; Blomquist, R. N.; Smith, M. A.; Tsoulfanidis, N., Benchmark Specifications for deterministic MOX fuel assembly transport calculations without spatial homogenization (3-D Extension C5G7 MOX), 2005 [6] Merton, S.; Smedley-Stevenson, R.; Pain, C.; Buchan, A., Adjoint eigenvalue correction for elliptic and hyperbolic neutron transport problems, 2014. Prog. Nucl. Energ., 76, 1-16 [7] Mosher, S.; Rahnema, F., The incident flux response expansion method for heterogeneous coarse mesh transport problems, 2006. Transp. Theory Statist. Phys., 34, 1-26 · Zbl 1107.82059 [8] Pounders, J.; Rahnema, F.; Serghuita, D.; Tholammakkil, J., A 3D Stylized Half-core CANDU benchmark problem, 2011. Ann. Nucl. Energ., 38, 876-896 [9] Rahnema, F.; Pomraning, G. C., Boundary perturbation theory for inhomogeneous transport equations, 1983. Nucl. Sci. Eng., 84, 313-319 [10] Rahnema, F., Internal interface perturbations in neutron transport theory, 1984. Nucl. Sci. Eng., 86, 76-90 [11] X-5 Monte Carlo Team, 2005. MCNP—A General Monte Carlo N-Particle Transport Code, Version 5, Los Alamos National Laboratory [12] Zhang, D.; Rahnema, F., A heterogeneous coarse mesh transport method for couple photon electron transport problems, 2011. Transp. Theory Statist. Phys., 40, 127-152 · Zbl 1245.82005 [13] Zhang, D.; Rahnema, F., An efficient hybrid stochastic/deterministic coarse mesh neutron transport method, 2012. Ann. Nucl. Energy, 41, 1-11 [14] Zhang, D.; Rahnema, F., High order perturbation theory for incident flux response expansion methods, 2014. Nucl. Sci. Eng., 176, 69-80 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.