Statistical Properties for Trigonometric Random Fields

Autores

  • Eduardo S. Schneider

DOI:

https://doi.org/10.5540/03.2022.009.01.0255

Palavras-chave:

Random velocity fields, Gaussian, Fourier modes, passive trace transport.

Resumo

This work presents a general form for a scalar random field which is written as a sum of finitely many Fourier modes. We get some of its statistical proprieties and analyze its geometry. Additionally, we derive a model for a Gaussian, two dimensional, mean-zero, homogeneous, steady, and incompressible random velocity field and provide numerical evidence about the non-normality of the joint distribution of the Lagrangian velocity process.

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Biografia do Autor

Eduardo S. Schneider

Universidade Federal de Pelotas, Pelotas, RS, Brazil

Referências

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E. S. Schneider. “Exact calculations for the Lagrangian velocity”. PhD thesis. Bowling Green State University, 2019.

E. S. Schneider and C. L. Zirbel. “Using symbolic expressions to get the Taylor expansion of the Lagrangian auto-covariance function”. In: Proceeding Series of the Brazilian Society of Computational and Applied Mathematics 8.1 (2021). doi: 10.5540/03.2021.008. 01.0504.

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Publicado

2022-12-08

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