Fluid Mechanics and Flight Mechanics

Accuracy analysis of numerical error with statistical forms in CFD

  • MIN Yaobing ,
  • MA Yankai ,
  • LI Song
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  • China Aerodynamics Research and Development Center, Mianyang 621000, China

Received date: 2019-10-09

  Revised date: 2019-11-29

  Online published: 2019-11-28

Abstract

Generally, the accuracy of an algorithm should be validated numerically in Computational Fluid Dynamics(CFD), and the research object is composed by statistical norms of numerical error, which is usually represented by the L1 norm, the L2 norm, and the L norm based on the hypothesis that each norm is equivalent in accuracy order. In reality, there are locally discontinuities of flow variables, non-smoothness of mesh, and nonlinear interpolations near critical points that will result in the loss in accuracy of numerical algorithm, causing different numerical orders of accuracy of each norm of numerical error. By carrying out detailed theoretical analysis, the relationship of different error norms in accuracy order is exhibited in this paper and is soon validated by numerical experiments. The research results in this paper can not only serve as a guide to the validation of the accuracy order in a CFD algorithm, but also theoretically support the judgement of numerical simulation order with more complex flow.

Cite this article

MIN Yaobing , MA Yankai , LI Song . Accuracy analysis of numerical error with statistical forms in CFD[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020 , 41(4) : 123554 -123554 . DOI: 10.7527/S1000-6893.2019.23554

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