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2013•Nuclear Instruments and Methods in Physics Research Section B Beam Interactions with Materials and AtomsRequires access

Improvement of Coarse-Mesh Finite Difference Accelerated Nodal Method

Ruan Keqiang

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Abstract

Algorithm of the coarse-mesh finite difference(CMFD) accelerated nodal method was improved.The matrix can be simplified to fourth-order equation when solving the two nodes problems.The formulas are induced for calculating the net interface current difference between two sides of every node,and then the net neutron current of every node can be calculated by using the formulas with the known interface current of the first nodal boundary.The improved algorithm reduces the computing time of the nodal method.

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What this paper is about

Algorithm of the coarse-mesh finite difference(CMFD) accelerated nodal method was improved.The matrix can be simplified to fourth-order equation when solving the two nodes problems.The formulas are induced for calculating the net interface current difference between two sides of every node,and then the net neutron current of every node can be calculated by using the formulas with the known interface current of the first nodal boundary.The improved algorithm reduces the computing time of the nodal method.

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Available abstract

Algorithm of the coarse-mesh finite difference(CMFD) accelerated nodal method was improved.The matrix can be simplified to fourth-order equation when solving the two nodes problems.The formulas are induced for calculating the net interface current difference between two sides of every node,and then the net neutron current of every node can be calculated by using the formulas with the known interface current of the first nodal boundary.The improved algorithm reduces the computing time of the nodal method.

Key concepts: Node (physics), NODAL, Current (fluid), Modified nodal analysis, Finite difference method, Finite difference, Mathematics, Boundary value problem

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