Lumley Decomposition of the Turbulent Round Jet Far-field. Part 2 -- Dynamics Article Swipe

PDF

Azur Hodžić , Knud Erik Meyer , William K. George , Clara M. Velte ·

YOU? · · 2019 · Open Access · · DOI: https://doi.org/10.48550/arxiv.1909.01307

In the current work the reconstruction of the far-field region of the turbulent axi-symmetric jet is performed in order to investigate the modal turbulence kinetic energy production contributions. The reconstruction of the field statistics is based on a semi-analytical Lumley Decomposition (LD) of the PIV sampled field using stretched amplitude decaying Fourier modes (SADFM), derived in Hodžić et al. 2019, along the streamwise coordinate. It is shown that, a wide range of modes obtain a significant amount of energy directly from the mean flow, and are therefore not exclusively dependent on a Richardson-like energy cascade even in the $κ$-range in which the energy spectra exhibit the $-5/3$-slope. It is observed that the $-7/3$-range in the cross-spectra is fully reconstructed using a single mode in regions of high mean shear, and that shear-stresses are nearly fully reconstructed using the first two modes. These results indicate that most of the energy production related to shear-stresses is related to the first LD mode.

Related Topics

Concepts

Jet (fluid) Turbulence Physics Dynamics (music) Decomposition Field (mathematics) Mechanics Mathematics Acoustics Chemistry Pure mathematics Organic chemistry

Metadata

Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/1909.01307
PDF: https://arxiv.org/pdf/1909.01307
OA Status: green
Cited By: 2
References: 27
Related Works: 10
OpenAlex ID: https://openalex.org/W2967324949

All OpenAlex metadata

Raw OpenAlex JSON

OpenAlex ID: https://openalex.org/W2967324949

Canonical identifier for this work in OpenAlex
DOI: https://doi.org/10.48550/arxiv.1909.01307

Digital Object Identifier
Title: Lumley Decomposition of the Turbulent Round Jet Far-field. Part 2 -- Dynamics

Work title
Type: preprint

OpenAlex work type
Language: en

Primary language
Publication year: 2019

Year of publication
Publication date: 2019-09-03

Full publication date if available
Authors: Azur Hodžić, Knud Erik Meyer, William K. George, Clara M. Velte

List of authors in order
Landing page: https://arxiv.org/abs/1909.01307

Publisher landing page
PDF URL: https://arxiv.org/pdf/1909.01307

Direct link to full text PDF
Open access: Yes

Whether a free full text is available
OA status: green

Open access status per OpenAlex
OA URL: https://arxiv.org/pdf/1909.01307

Direct OA link when available
Concepts: Jet (fluid), Turbulence, Physics, Dynamics (music), Decomposition, Field (mathematics), Mechanics, Mathematics, Acoustics, Chemistry, Pure mathematics, Organic chemistry

Top concepts (fields/topics) attached by OpenAlex
Cited by: 2

Total citation count in OpenAlex
Citations by year (recent): 2021: 1, 2020: 1

Per-year citation counts (last 5 years)
References (count): 27

Number of works referenced by this work
Related works (count): 10

Other works algorithmically related by OpenAlex

Full payload

id	https://openalex.org/W2967324949
doi	https://doi.org/10.48550/arxiv.1909.01307
ids.doi	https://doi.org/10.48550/arxiv.1909.01307
ids.mag	2967324949
ids.openalex	https://openalex.org/W2967324949
fwci
type	preprint
title	Lumley Decomposition of the Turbulent Round Jet Far-field. Part 2 -- Dynamics
biblio.issue
biblio.volume
biblio.last_page
biblio.first_page
topics[0].id	https://openalex.org/T10360
topics[0].field.id	https://openalex.org/fields/22
topics[0].field.display_name	Engineering
topics[0].score	0.9998999834060669
topics[0].domain.id	https://openalex.org/domains/3
topics[0].domain.display_name	Physical Sciences
topics[0].subfield.id	https://openalex.org/subfields/2206
topics[0].subfield.display_name	Computational Mechanics
topics[0].display_name	Fluid Dynamics and Turbulent Flows
topics[1].id	https://openalex.org/T11008
topics[1].field.id	https://openalex.org/fields/22
topics[1].field.display_name	Engineering
topics[1].score	0.9998000264167786
topics[1].domain.id	https://openalex.org/domains/3
topics[1].domain.display_name	Physical Sciences
topics[1].subfield.id	https://openalex.org/subfields/2202
topics[1].subfield.display_name	Aerospace Engineering
topics[1].display_name	Aerodynamics and Acoustics in Jet Flows
topics[2].id	https://openalex.org/T11945
topics[2].field.id	https://openalex.org/fields/22
topics[2].field.display_name	Engineering
topics[2].score	0.9965999722480774
topics[2].domain.id	https://openalex.org/domains/3
topics[2].domain.display_name	Physical Sciences
topics[2].subfield.id	https://openalex.org/subfields/2210
topics[2].subfield.display_name	Mechanical Engineering
topics[2].display_name	Heat Transfer Mechanisms
is_xpac	False
apc_list
apc_paid
concepts[0].id	https://openalex.org/C119947313
concepts[0].level	2
concepts[0].score	0.7628547549247742
concepts[0].wikidata	https://www.wikidata.org/wiki/Q5596635
concepts[0].display_name	Jet (fluid)
concepts[1].id	https://openalex.org/C196558001
concepts[1].level	2
concepts[1].score	0.6722333431243896
concepts[1].wikidata	https://www.wikidata.org/wiki/Q190132
concepts[1].display_name	Turbulence
concepts[2].id	https://openalex.org/C121332964
concepts[2].level	0
concepts[2].score	0.55216383934021
concepts[2].wikidata	https://www.wikidata.org/wiki/Q413
concepts[2].display_name	Physics
concepts[3].id	https://openalex.org/C145912823
concepts[3].level	2
concepts[3].score	0.52341628074646
concepts[3].wikidata	https://www.wikidata.org/wiki/Q113558
concepts[3].display_name	Dynamics (music)
concepts[4].id	https://openalex.org/C124681953
concepts[4].level	2
concepts[4].score	0.5169905424118042
concepts[4].wikidata	https://www.wikidata.org/wiki/Q339062
concepts[4].display_name	Decomposition
concepts[5].id	https://openalex.org/C9652623
concepts[5].level	2
concepts[5].score	0.5148946046829224
concepts[5].wikidata	https://www.wikidata.org/wiki/Q190109
concepts[5].display_name	Field (mathematics)
concepts[6].id	https://openalex.org/C57879066
concepts[6].level	1
concepts[6].score	0.41074472665786743
concepts[6].wikidata	https://www.wikidata.org/wiki/Q41217
concepts[6].display_name	Mechanics
concepts[7].id	https://openalex.org/C33923547
concepts[7].level	0
concepts[7].score	0.14684894680976868
concepts[7].wikidata	https://www.wikidata.org/wiki/Q395
concepts[7].display_name	Mathematics
concepts[8].id	https://openalex.org/C24890656
concepts[8].level	1
concepts[8].score	0.12988826632499695
concepts[8].wikidata	https://www.wikidata.org/wiki/Q82811
concepts[8].display_name	Acoustics
concepts[9].id	https://openalex.org/C185592680
concepts[9].level	0
concepts[9].score	0.06620481610298157
concepts[9].wikidata	https://www.wikidata.org/wiki/Q2329
concepts[9].display_name	Chemistry
concepts[10].id	https://openalex.org/C202444582
concepts[10].level	1
concepts[10].score	0.0
concepts[10].wikidata	https://www.wikidata.org/wiki/Q837863
concepts[10].display_name	Pure mathematics
concepts[11].id	https://openalex.org/C178790620
concepts[11].level	1
concepts[11].score	0.0
concepts[11].wikidata	https://www.wikidata.org/wiki/Q11351
concepts[11].display_name	Organic chemistry
keywords[0].id	https://openalex.org/keywords/jet
keywords[0].score	0.7628547549247742
keywords[0].display_name	Jet (fluid)
keywords[1].id	https://openalex.org/keywords/turbulence
keywords[1].score	0.6722333431243896
keywords[1].display_name	Turbulence
keywords[2].id	https://openalex.org/keywords/physics
keywords[2].score	0.55216383934021
keywords[2].display_name	Physics
keywords[3].id	https://openalex.org/keywords/dynamics
keywords[3].score	0.52341628074646
keywords[3].display_name	Dynamics (music)
keywords[4].id	https://openalex.org/keywords/decomposition
keywords[4].score	0.5169905424118042
keywords[4].display_name	Decomposition
keywords[5].id	https://openalex.org/keywords/field
keywords[5].score	0.5148946046829224
keywords[5].display_name	Field (mathematics)
keywords[6].id	https://openalex.org/keywords/mechanics
keywords[6].score	0.41074472665786743
keywords[6].display_name	Mechanics
keywords[7].id	https://openalex.org/keywords/mathematics
keywords[7].score	0.14684894680976868
keywords[7].display_name	Mathematics
keywords[8].id	https://openalex.org/keywords/acoustics
keywords[8].score	0.12988826632499695
keywords[8].display_name	Acoustics
keywords[9].id	https://openalex.org/keywords/chemistry
keywords[9].score	0.06620481610298157
keywords[9].display_name	Chemistry
language	en
locations[0].id	pmh:oai:arXiv.org:1909.01307
locations[0].is_oa	True
locations[0].source.id	https://openalex.org/S4306400194
locations[0].source.issn
locations[0].source.type	repository
locations[0].source.is_oa	True
locations[0].source.issn_l
locations[0].source.is_core	False
locations[0].source.is_in_doaj	False
locations[0].source.display_name	arXiv (Cornell University)
locations[0].source.host_organization	https://openalex.org/I205783295
locations[0].source.host_organization_name	Cornell University
locations[0].source.host_organization_lineage	https://openalex.org/I205783295
locations[0].license
locations[0].pdf_url	https://arxiv.org/pdf/1909.01307
locations[0].version	submittedVersion
locations[0].raw_type	text
locations[0].license_id
locations[0].is_accepted	False
locations[0].is_published	False
locations[0].raw_source_name
locations[0].landing_page_url	http://arxiv.org/abs/1909.01307
locations[1].id	doi:10.48550/arxiv.1909.01307
locations[1].is_oa	True
locations[1].source.id	https://openalex.org/S4306400194
locations[1].source.issn
locations[1].source.type	repository
locations[1].source.is_oa	True
locations[1].source.issn_l
locations[1].source.is_core	False
locations[1].source.is_in_doaj	False
locations[1].source.display_name	arXiv (Cornell University)
locations[1].source.host_organization	https://openalex.org/I205783295
locations[1].source.host_organization_name	Cornell University
locations[1].source.host_organization_lineage	https://openalex.org/I205783295
locations[1].license
locations[1].pdf_url
locations[1].version
locations[1].raw_type	article
locations[1].license_id
locations[1].is_accepted	False
locations[1].is_published
locations[1].raw_source_name
locations[1].landing_page_url	https://doi.org/10.48550/arxiv.1909.01307
indexed_in	arxiv, datacite
authorships[0].author.id	https://openalex.org/A5080476368
authorships[0].author.orcid	https://orcid.org/0000-0003-1307-5290
authorships[0].author.display_name	Azur Hodžić
authorships[0].countries	DK
authorships[0].affiliations[0].institution_ids	https://openalex.org/I96673099
authorships[0].affiliations[0].raw_affiliation_string	Technical University of Denmark
authorships[0].institutions[0].id	https://openalex.org/I96673099
authorships[0].institutions[0].ror	https://ror.org/04qtj9h94
authorships[0].institutions[0].type	education
authorships[0].institutions[0].lineage	https://openalex.org/I96673099
authorships[0].institutions[0].country_code	DK
authorships[0].institutions[0].display_name	Technical University of Denmark
authorships[0].author_position	first
authorships[0].raw_author_name	Azur Hodžić
authorships[0].is_corresponding	False
authorships[0].raw_affiliation_strings	Technical University of Denmark
authorships[1].author.id	https://openalex.org/A5053643200
authorships[1].author.orcid	https://orcid.org/0000-0003-2179-0235
authorships[1].author.display_name	Knud Erik Meyer
authorships[1].author_position	middle
authorships[1].raw_author_name	Knud Erik Meyer
authorships[1].is_corresponding	False
authorships[2].author.id	https://openalex.org/A5020580608
authorships[2].author.orcid	https://orcid.org/0000-0002-3518-4431
authorships[2].author.display_name	William K. George
authorships[2].author_position	middle
authorships[2].raw_author_name	William K. George
authorships[2].is_corresponding	False
authorships[3].author.id	https://openalex.org/A5071915125
authorships[3].author.orcid	https://orcid.org/0000-0002-8657-0383
authorships[3].author.display_name	Clara M. Velte
authorships[3].author_position	last
authorships[3].raw_author_name	Clara M. Velte
authorships[3].is_corresponding	False
has_content.pdf	False
has_content.grobid_xml	False
is_paratext	False
open_access.is_oa	True
open_access.oa_url	https://arxiv.org/pdf/1909.01307
open_access.oa_status	green
open_access.any_repository_has_fulltext	False
created_date	2019-08-22T00:00:00
display_name	Lumley Decomposition of the Turbulent Round Jet Far-field. Part 2 -- Dynamics
has_fulltext	False
is_retracted	False
updated_date	2025-11-06T06:51:31.235846
primary_topic.id	https://openalex.org/T10360
primary_topic.field.id	https://openalex.org/fields/22
primary_topic.field.display_name	Engineering
primary_topic.score	0.9998999834060669
primary_topic.domain.id	https://openalex.org/domains/3
primary_topic.domain.display_name	Physical Sciences
primary_topic.subfield.id	https://openalex.org/subfields/2206
primary_topic.subfield.display_name	Computational Mechanics
primary_topic.display_name	Fluid Dynamics and Turbulent Flows
related_works	https://openalex.org/W628108189, https://openalex.org/W3010921616, https://openalex.org/W2000633040, https://openalex.org/W778382878, https://openalex.org/W2325574833, https://openalex.org/W4287826478, https://openalex.org/W3023562559, https://openalex.org/W4206216482, https://openalex.org/W2323027159, https://openalex.org/W2067287989
cited_by_count	2
counts_by_year[0].year	2021
counts_by_year[0].cited_by_count	1
counts_by_year[1].year	2020
counts_by_year[1].cited_by_count	1
locations_count	2
best_oa_location.id	pmh:oai:arXiv.org:1909.01307
best_oa_location.is_oa	True
best_oa_location.source.id	https://openalex.org/S4306400194
best_oa_location.source.issn
best_oa_location.source.type	repository
best_oa_location.source.is_oa	True
best_oa_location.source.issn_l
best_oa_location.source.is_core	False
best_oa_location.source.is_in_doaj	False
best_oa_location.source.display_name	arXiv (Cornell University)
best_oa_location.source.host_organization	https://openalex.org/I205783295
best_oa_location.source.host_organization_name	Cornell University
best_oa_location.source.host_organization_lineage	https://openalex.org/I205783295
best_oa_location.license
best_oa_location.pdf_url	https://arxiv.org/pdf/1909.01307
best_oa_location.version	submittedVersion
best_oa_location.raw_type	text
best_oa_location.license_id
best_oa_location.is_accepted	False
best_oa_location.is_published	False
best_oa_location.raw_source_name
best_oa_location.landing_page_url	http://arxiv.org/abs/1909.01307
primary_location.id	pmh:oai:arXiv.org:1909.01307
primary_location.is_oa	True
primary_location.source.id	https://openalex.org/S4306400194
primary_location.source.issn
primary_location.source.type	repository
primary_location.source.is_oa	True
primary_location.source.issn_l
primary_location.source.is_core	False
primary_location.source.is_in_doaj	False
primary_location.source.display_name	arXiv (Cornell University)
primary_location.source.host_organization	https://openalex.org/I205783295
primary_location.source.host_organization_name	Cornell University
primary_location.source.host_organization_lineage	https://openalex.org/I205783295
primary_location.license
primary_location.pdf_url	https://arxiv.org/pdf/1909.01307
primary_location.version	submittedVersion
primary_location.raw_type	text
primary_location.license_id
primary_location.is_accepted	False
primary_location.is_published	False
primary_location.raw_source_name
primary_location.landing_page_url	http://arxiv.org/abs/1909.01307
publication_date	2019-09-03
publication_year	2019
referenced_works	https://openalex.org/W2092557716, https://openalex.org/W2605778163, https://openalex.org/W562575633, https://openalex.org/W146157101, https://openalex.org/W2035367449, https://openalex.org/W3092768883, https://openalex.org/W3099211663, https://openalex.org/W1579236455, https://openalex.org/W2110494986, https://openalex.org/W2129219887, https://openalex.org/W2023723907, https://openalex.org/W1996007549, https://openalex.org/W2801867222, https://openalex.org/W2979218722, https://openalex.org/W2770184040, https://openalex.org/W2807735974, https://openalex.org/W251931692, https://openalex.org/W2030513226, https://openalex.org/W2104111591, https://openalex.org/W1531885144, https://openalex.org/W1597359858, https://openalex.org/W2017610068, https://openalex.org/W2332507169, https://openalex.org/W2513034519, https://openalex.org/W2242400774, https://openalex.org/W2165051602, https://openalex.org/W2091409042
referenced_works_count	27
abstract_inverted_index.a	37, 68, 74, 91, 120
abstract_inverted_index.In	0
abstract_inverted_index.It	64, 107
abstract_inverted_index.LD	158
abstract_inverted_index.et	57
abstract_inverted_index.in	17, 55, 96, 99, 113, 123
abstract_inverted_index.is	15, 34, 65, 108, 116, 153
abstract_inverted_index.of	6, 10, 30, 42, 71, 77, 125, 146
abstract_inverted_index.on	36, 90
abstract_inverted_index.to	19, 151, 155
abstract_inverted_index.PIV	44
abstract_inverted_index.The	28
abstract_inverted_index.al.	58
abstract_inverted_index.and	84, 129
abstract_inverted_index.are	85, 132
abstract_inverted_index.jet	14
abstract_inverted_index.not	87
abstract_inverted_index.the	1, 4, 7, 11, 21, 31, 43, 61, 81, 97, 101, 105, 111, 114, 137, 147, 156
abstract_inverted_index.two	139
abstract_inverted_index.(LD)	41
abstract_inverted_index.even	95
abstract_inverted_index.from	80
abstract_inverted_index.high	126
abstract_inverted_index.mean	82, 127
abstract_inverted_index.mode	122
abstract_inverted_index.most	145
abstract_inverted_index.that	110, 130, 144
abstract_inverted_index.wide	69
abstract_inverted_index.work	3
abstract_inverted_index.2019,	59
abstract_inverted_index.These	141
abstract_inverted_index.along	60
abstract_inverted_index.based	35
abstract_inverted_index.field	32, 46
abstract_inverted_index.first	138, 157
abstract_inverted_index.flow,	83
abstract_inverted_index.fully	117, 134
abstract_inverted_index.modal	22
abstract_inverted_index.mode.	159
abstract_inverted_index.modes	52, 72
abstract_inverted_index.order	18
abstract_inverted_index.range	70
abstract_inverted_index.shown	66
abstract_inverted_index.that,	67
abstract_inverted_index.using	47, 119, 136
abstract_inverted_index.which	100
abstract_inverted_index.Lumley	39
abstract_inverted_index.amount	76
abstract_inverted_index.energy	25, 78, 93, 102, 148
abstract_inverted_index.modes.	140
abstract_inverted_index.nearly	133
abstract_inverted_index.obtain	73
abstract_inverted_index.region	9
abstract_inverted_index.shear,	128
abstract_inverted_index.single	121
abstract_inverted_index.Fourier	51
abstract_inverted_index.cascade	94
abstract_inverted_index.current	2
abstract_inverted_index.derived	54
abstract_inverted_index.exhibit	104
abstract_inverted_index.kinetic	24
abstract_inverted_index.regions	124
abstract_inverted_index.related	150, 154
abstract_inverted_index.results	142
abstract_inverted_index.sampled	45
abstract_inverted_index.spectra	103
abstract_inverted_index.(SADFM),	53
abstract_inverted_index.Hodžić	56
abstract_inverted_index.decaying	50
abstract_inverted_index.directly	79
abstract_inverted_index.indicate	143
abstract_inverted_index.observed	109
abstract_inverted_index.amplitude	49
abstract_inverted_index.dependent	89
abstract_inverted_index.far-field	8
abstract_inverted_index.performed	16
abstract_inverted_index.stretched	48
abstract_inverted_index.therefore	86
abstract_inverted_index.turbulent	12
abstract_inverted_index.$κ$-range	98
abstract_inverted_index.production	26, 149
abstract_inverted_index.statistics	33
abstract_inverted_index.streamwise	62
abstract_inverted_index.turbulence	23
abstract_inverted_index.coordinate.	63
abstract_inverted_index.exclusively	88
abstract_inverted_index.investigate	20
abstract_inverted_index.significant	75
abstract_inverted_index.$-7/3$-range	112
abstract_inverted_index.$-5/3$-slope.	106
abstract_inverted_index.Decomposition	40
abstract_inverted_index.axi-symmetric	13
abstract_inverted_index.cross-spectra	115
abstract_inverted_index.reconstructed	118, 135
abstract_inverted_index.contributions.	27
abstract_inverted_index.reconstruction	5, 29
abstract_inverted_index.shear-stresses	131, 152
abstract_inverted_index.Richardson-like	92
abstract_inverted_index.semi-analytical	38
cited_by_percentile_year
countries_distinct_count	1
institutions_distinct_count	4
sustainable_development_goals[0].id	https://metadata.un.org/sdg/7
sustainable_development_goals[0].score	0.4300000071525574
sustainable_development_goals[0].display_name	Affordable and clean energy
citation_normalized_percentile