Several methods have been proposed to characterize the complex interactions in turbulent wakes, especially for flows with strong cyclic dynamics. This paper introduces the concept of Fourier-averaged Navier-Stokes (FANS) equations as a framework to obtain direct insights into the dynamics of complex coherent wake interactions. The method simplifies the interpretations of flow physics by identifying terms contributing to momentum transport at different time scales. The method also allows for direct interpretation of nonlinear interactions of the terms in the Navier-Stokes equations. By analysing well-known cases, the characteristics of FANS are evaluated. Particularly, we focus on physical interpretation of the terms as they relate to the interactions between modes at different time scales. Through comparison with established physics and other methods, FANS is shown to provide insight into the transfer of momentum between modes by extracting information about the contributing pressure, convective and diffusive forces. The FANS equations provide a simply calculated and more directly interpretable set of equations to analyse flow physics by leveraging momentum conservation principles and Fourier analysis. By representing the velocity as a Fourier series in time, for example, the triadic model interactions are apparent from the governing equations. The method is shown to be applicable to flows with complex cyclic waveforms, including broadband spectral energy distributions.
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Univ Sao Paulo, Dept Mech Engn, Escola Politecn, Ave Prof Mello Moraes, Sao Paulo, BrazilUniv Sao Paulo, Dept Mech Engn, Escola Politecn, Ave Prof Mello Moraes, Sao Paulo, Brazil
Privato, Tomas Sambiase
de Sa Brasil Lima, Joao
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Maua Inst Technol, Dept Mech Engn, Sao Caetano do Sul, BrazilUniv Sao Paulo, Dept Mech Engn, Escola Politecn, Ave Prof Mello Moraes, Sao Paulo, Brazil
de Sa Brasil Lima, Joao
Dolci, Daiane Iglesia
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Imperial Coll London, Fac Nat Sci, Dept Math, London, EnglandUniv Sao Paulo, Dept Mech Engn, Escola Politecn, Ave Prof Mello Moraes, Sao Paulo, Brazil
Dolci, Daiane Iglesia
Carmo, Bruno Souza
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Univ Sao Paulo, Dept Mech Engn, Escola Politecn, Ave Prof Mello Moraes, Sao Paulo, BrazilUniv Sao Paulo, Dept Mech Engn, Escola Politecn, Ave Prof Mello Moraes, Sao Paulo, Brazil
Carmo, Bruno Souza
Hayashi, Marcelo Tanaka
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Fed Univ ABC, Ctr Engn Modeling & Appl Social Sci, Sao Bernardo Do Campo, BrazilUniv Sao Paulo, Dept Mech Engn, Escola Politecn, Ave Prof Mello Moraes, Sao Paulo, Brazil
Hayashi, Marcelo Tanaka
Volpe, Ernani Vitillo
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Univ Sao Paulo, Dept Mech Engn, Escola Politecn, Ave Prof Mello Moraes, Sao Paulo, BrazilUniv Sao Paulo, Dept Mech Engn, Escola Politecn, Ave Prof Mello Moraes, Sao Paulo, Brazil
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Univ Granada CITIC UGR, Dept Signal Theory Telemat & Commun, Granada 18071, SpainUniv Granada CITIC UGR, Dept Signal Theory Telemat & Commun, Granada 18071, Spain
Moreno-Rodriguez, Salvador
Alex-Amor, Antonio
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Univ San Pablo CEU, CEU Univ, Dept Informat Technol, Campus Monteprincipe, Boadilla Del Monte 28668, Madrid, SpainUniv Granada CITIC UGR, Dept Signal Theory Telemat & Commun, Granada 18071, Spain
Alex-Amor, Antonio
Padilla, Pablo
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Univ Granada CITIC UGR, Dept Signal Theory Telemat & Commun, Granada 18071, SpainUniv Granada CITIC UGR, Dept Signal Theory Telemat & Commun, Granada 18071, Spain
Padilla, Pablo
Valenzuela-Valdes, Juan F.
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Univ Granada CITIC UGR, Dept Signal Theory Telemat & Commun, Granada 18071, SpainUniv Granada CITIC UGR, Dept Signal Theory Telemat & Commun, Granada 18071, Spain
Valenzuela-Valdes, Juan F.
Molero, Carlos
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Univ Granada CITIC UGR, Dept Signal Theory Telemat & Commun, Granada 18071, SpainUniv Granada CITIC UGR, Dept Signal Theory Telemat & Commun, Granada 18071, Spain
Molero, Carlos
2023 17TH EUROPEAN CONFERENCE ON ANTENNAS AND PROPAGATION, EUCAP,
2023,
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DIIN, Via Giovanni Paolo II 132, I-84084 Fisciano, SA, Italy
IMFT, 2 Alle Prof Camille Soula, F-31400 Toulouse, FranceDIIN, Via Giovanni Paolo II 132, I-84084 Fisciano, SA, Italy
Sierra-Ausin, Javier
Citro, Vincenzo
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DIIN, Via Giovanni Paolo II 132, I-84084 Fisciano, SA, ItalyDIIN, Via Giovanni Paolo II 132, I-84084 Fisciano, SA, Italy
Citro, Vincenzo
Giannetti, Flavio
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DIIN, Via Giovanni Paolo II 132, I-84084 Fisciano, SA, ItalyDIIN, Via Giovanni Paolo II 132, I-84084 Fisciano, SA, Italy
Giannetti, Flavio
Fabre, David
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IMFT, 2 Alle Prof Camille Soula, F-31400 Toulouse, FranceDIIN, Via Giovanni Paolo II 132, I-84084 Fisciano, SA, Italy
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DIIN, Via Giovanni Paolo II, 132, 84084 Fisciano SA, Italy
IMFT, 2 Allé du Professeur Camille Soula, Toulouse,31400, FranceDIIN, Via Giovanni Paolo II, 132, 84084 Fisciano SA, Italy
Sierra-Ausin, Javier
Citro, Vincenzo
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DIIN, Via Giovanni Paolo II, 132, 84084 Fisciano SA, ItalyDIIN, Via Giovanni Paolo II, 132, 84084 Fisciano SA, Italy
Citro, Vincenzo
Giannetti, Flavio
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DIIN, Via Giovanni Paolo II, 132, 84084 Fisciano SA, ItalyDIIN, Via Giovanni Paolo II, 132, 84084 Fisciano SA, Italy
Giannetti, Flavio
Fabre, David
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IMFT, 2 Allé du Professeur Camille Soula, Toulouse,31400, FranceDIIN, Via Giovanni Paolo II, 132, 84084 Fisciano SA, Italy