CFD中统计误差的数值精度分析

doi:10.7527/S1000-6893.2019.23554

Abstract

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.

Key words: statistical error, norm of error, numerical accuracy, analysis of accuracy, loss in accuracy

CLC Number:

V211.3

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.

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Accuracy analysis of numerical error with statistical forms in CFD

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