The Analytic Coarse-Mesh Finite Difference Method for Multigroup and Multidimensional Diffusion Calculations

Aragonés, José María Mateu; Ahnert, C.; García-Herranz, Nuria

doi:10.13182/nse07-a2709

Cited by 26 publications

(13 citation statements)

References 10 publications

(13 reference statements)

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“…The Advanced Coarse Mesh Finite Difference Method (ACMFD) (Aragones et al, 2007) is the nodal calculation algorithm employed in the ANDES (Lozano et al, 2008) code which is part of COBAYA3 (C3), working as an independent nodal solver or as an external acceleration for a FMFD pin-by-pin solver. In this application, the stand-alone nodal solver is employed which is capable of modelling 3D Cartesian or hexagonal-Z geometries (Lozano et al, 2010), using multigroup cross sections libraries.…”

Section: Cobaya3mentioning

confidence: 99%

Boron dilution transient simulation analyses in a PWR with neutronics/thermal-hydraulics coupled codes in the NURISP project

Varas

Herrero

Gommlich

et al. 2015

Annals of Nuclear Energy

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Section: Cobaya3mentioning

confidence: 99%

Boron dilution transient simulation analyses in a PWR with neutronics/thermal-hydraulics coupled codes in the NURISP project

Varas

Herrero

Gommlich

et al. 2015

Annals of Nuclear Energy

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“…The Analytic Nodal Diffusion Equation Solver (ANDES) solves the multi-group 3D diffusion equation based on an Analytic Coarse Mesh Finite Difference Method (ACMFD) (Aragonés et al, 2007). ANDES is able to obtain the 3D flux distribution by using homogenized cross sections and heterogeneity factors provided as input data in form of cross section library files.…”

Section: Cobaya3mentioning

confidence: 99%

Accelerating COBAYA3 on multi-core CPU and GPU systems using PARALUTION

Trost

Jiménez

Lukarski

et al. 2015

Annals of Nuclear Energy

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“…The full basis of the methodology is given in Aragones et al (2007). Here we revisit the solution in multidimensional diffusion cases in order to point out the role of the transverse leakage treatment in obtaining an accurate nodal solution.…”

Section: The Analytic Multigroup Diffusion Theory For Multidimensionamentioning

confidence: 99%

The analytic nodal diffusion solver ANDES in multigroups for 3D rectangular geometry: Development and performance analysis

Lozano

García-Herranz

Ahnert

et al. 2008

Annals of Nuclear Energy

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In this work we address the development and implementation of the analytic coarse-mesh finite-difference (ACMFD) method in a nodal neutron diffusion solver called ANDES. The first version of the solver is implemented in any number of neutron energy groups, and in 3D Cartesian geometries; thus it mainly addresses PWR and BWR core simulations.The details about the generalization to multigroups and 3D, as well as the implementation of the method are given. The transverse integration procedure is the scheme chosen to extend the ACMFD formulation to multidimensional problems. The role of the transverse leakage treatment in the accuracy of the nodal solutions is analyzed in detail: the involved assumptions, the limitations of the method in terms of nodal width, the alternative approaches to implement the transverse leakage terms in nodal methods -implicit or explicit -, and the error assessment due to transverse integration. A new approach for solving the control rod "cusping" problem, based on the direct application of the ACMFD method, is also developed and implemented in ANDES.The solver architecture turns ANDES into an user-friendly, modular and easily linkable tool, as required to be integrated into common software platforms for multi-scale and multi-physics simulations. ANDES can be used either as a stand-alone nodal code or as a solver to accelerate the convergence of whole core pin-by-pin code systems. The verification and performance of the solver are demonstrated using both proof-of-principle test cases and well-referenced international benchmarks.

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The Analytic Coarse-Mesh Finite Difference Method for Multigroup and Multidimensional Diffusion Calculations

Abstract: -In this work we develop and demonstrate the analytic coarse-mesh finite difference (ACMFD) method for multigroup-with any number of groups-and multidimensional diffusion calculations of eigen

Cited by 26 publications

References 10 publications

Boron dilution transient simulation analyses in a PWR with neutronics/thermal-hydraulics coupled codes in the NURISP project

Boron dilution transient simulation analyses in a PWR with neutronics/thermal-hydraulics coupled codes in the NURISP project

Accelerating COBAYA3 on multi-core CPU and GPU systems using PARALUTION

The analytic nodal diffusion solver ANDES in multigroups for 3D rectangular geometry: Development and performance analysis

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