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Research · 08

Spectral Element Method for Large-Scale Reactor Analysis

스펙트럼 요소법 기반 대규모 원자로 해석

Resolving a domain as large as a whole core is not a matter of simply making the mesh finer. We raise the order of the solution inside each element instead.

Fewer elements, higher orderConcept

Card figures are concept diagrams.

Resolving the inside of a reactor accurately means capturing even the small eddies, but covering a whole core by making the mesh finer makes the cell count explode. There comes a point where the cost outruns the accuracy.

The Spectral Element Method takes a different route. It divides the domain into a small number of large elements and represents the solution inside each one with a high-order polynomial. The same number of unknowns buys far more accuracy, and because elements exchange little information, the work spreads well across thousands of compute cores.

That brings problems of a size we previously had to give up resolution for, such as a pebble-bed core or a full rod bundle, back within reach of high-fidelity analysis.

We are applying the method to helical coil rod bundles, with the aim of resolving the flow inside next-generation reactor cores by large eddy simulation; the code is NekRS. The work is under way and there are no results yet.

What we work on

  • 01Large elements at high order: more accuracy for the same unknowns
  • 02Little inter-element communication, so it scales across many cores
  • 03Bringing core-scale domains within reach of high-fidelity analysis
  • 04LES of helical coil rod bundles with NekRS — under way