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A Coarse-Mesh Diffusion Synthetic Acceleration Method with Local hp Adaptation for Neutron Transport Calculations

Tseelmaa Byambaakhuu, Dean Wang, Sicong Xiao

Nuclear Science and Engineering / Volume 192 / Number 2 / November 2018 / Pages 208-217

Technical Paper /

Received:November 16, 2017
Accepted:July 9, 2018
Published:October 23, 2018

We present a local adaptive diffusion synthetic acceleration (DSA) method for neutron transport calculations. This new DSA method, called DG-DSA, solves the diffusion equation on a coarse mesh using the interior penalty discontinuous Galerkin (DG) methods. We investigate various numerical aspects of the DG-DSA method such as convergence performance and local adaptation. We demonstrate that our DG-DSA method can effectively and efficiently accelerate transport source iterations.

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