Spreading of Nearshore Effluent Discharges on Eroded Sloping Sandy Beaches

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A far field modeling study is presented to evaluate the effect of erosion of a sloping sandy beach upon the mixing and dispersion of the effluent discharges from a multiport diffuser. The two-dimensional advection-diffusion equation with multiple point sources is analytically solved and illustrated graphically by plotting contours of solution to replicate the interaction and merging of the nearshore effluent discharged plumes in coastal waters. The compounded shoreline concentration is asymptotically approximated and used as an environmental impact measure to assess how well the effluent plumes are diluted downstream. It is found that the significant increase in maximum concentration value due to erosion can be reduced by adding more ports and extending the diffuser pipe. The result demonstrates that a modern marine outfall system equipped with multiport diffusers does produce lower potential environmental impacts.

Original languageEnglish
Title of host publicationRecent Advances in Mathematical and Statistical Methods - IV AMMCS International Conference
EditorsHerb Kunze, D. Marc Kilgour, Roman Makarov, Roderick Melnik, Xu Wang
PublisherSpringer New York LLC
Pages397-407
Number of pages11
Volume259
ISBN (Print)9783319997186
DOIs
Publication statusPublished - Jan 1 2018
EventInternational conference on Applied Mathematics, Modeling and Computational Science, AMMCS 2017 - Waterloo, Canada
Duration: Aug 20 2017Aug 25 2017

Other

OtherInternational conference on Applied Mathematics, Modeling and Computational Science, AMMCS 2017
CountryCanada
CityWaterloo
Period8/20/178/25/17

Fingerprint

Diffuser
Erosion
Advection-diffusion Equation
Point Source
Far Field
Merging
Water
Evaluate
Interaction
Modeling
Demonstrate

Keywords

  • Advection diffusion equation
  • Far field model
  • Multiport diffuser
  • Sea outfall
  • Shoreline concentration

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Purnama, A., Al-Maamari, H. A., & Balakrishnan, E. (2018). Spreading of Nearshore Effluent Discharges on Eroded Sloping Sandy Beaches. In H. Kunze, D. M. Kilgour, R. Makarov, R. Melnik, & X. Wang (Eds.), Recent Advances in Mathematical and Statistical Methods - IV AMMCS International Conference (Vol. 259, pp. 397-407). Springer New York LLC. https://doi.org/10.1007/978-3-319-99719-3_36

Spreading of Nearshore Effluent Discharges on Eroded Sloping Sandy Beaches. / Purnama, Anton; Al-Maamari, Huda A.; Balakrishnan, Easwaran.

Recent Advances in Mathematical and Statistical Methods - IV AMMCS International Conference. ed. / Herb Kunze; D. Marc Kilgour; Roman Makarov; Roderick Melnik; Xu Wang. Vol. 259 Springer New York LLC, 2018. p. 397-407.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Purnama, A, Al-Maamari, HA & Balakrishnan, E 2018, Spreading of Nearshore Effluent Discharges on Eroded Sloping Sandy Beaches. in H Kunze, DM Kilgour, R Makarov, R Melnik & X Wang (eds), Recent Advances in Mathematical and Statistical Methods - IV AMMCS International Conference. vol. 259, Springer New York LLC, pp. 397-407, International conference on Applied Mathematics, Modeling and Computational Science, AMMCS 2017, Waterloo, Canada, 8/20/17. https://doi.org/10.1007/978-3-319-99719-3_36
Purnama A, Al-Maamari HA, Balakrishnan E. Spreading of Nearshore Effluent Discharges on Eroded Sloping Sandy Beaches. In Kunze H, Kilgour DM, Makarov R, Melnik R, Wang X, editors, Recent Advances in Mathematical and Statistical Methods - IV AMMCS International Conference. Vol. 259. Springer New York LLC. 2018. p. 397-407 https://doi.org/10.1007/978-3-319-99719-3_36
Purnama, Anton ; Al-Maamari, Huda A. ; Balakrishnan, Easwaran. / Spreading of Nearshore Effluent Discharges on Eroded Sloping Sandy Beaches. Recent Advances in Mathematical and Statistical Methods - IV AMMCS International Conference. editor / Herb Kunze ; D. Marc Kilgour ; Roman Makarov ; Roderick Melnik ; Xu Wang. Vol. 259 Springer New York LLC, 2018. pp. 397-407
@inproceedings{12b156d6993b44f59c8ca23499ab0d75,
title = "Spreading of Nearshore Effluent Discharges on Eroded Sloping Sandy Beaches",
abstract = "A far field modeling study is presented to evaluate the effect of erosion of a sloping sandy beach upon the mixing and dispersion of the effluent discharges from a multiport diffuser. The two-dimensional advection-diffusion equation with multiple point sources is analytically solved and illustrated graphically by plotting contours of solution to replicate the interaction and merging of the nearshore effluent discharged plumes in coastal waters. The compounded shoreline concentration is asymptotically approximated and used as an environmental impact measure to assess how well the effluent plumes are diluted downstream. It is found that the significant increase in maximum concentration value due to erosion can be reduced by adding more ports and extending the diffuser pipe. The result demonstrates that a modern marine outfall system equipped with multiport diffusers does produce lower potential environmental impacts.",
keywords = "Advection diffusion equation, Far field model, Multiport diffuser, Sea outfall, Shoreline concentration",
author = "Anton Purnama and Al-Maamari, {Huda A.} and Easwaran Balakrishnan",
year = "2018",
month = "1",
day = "1",
doi = "10.1007/978-3-319-99719-3_36",
language = "English",
isbn = "9783319997186",
volume = "259",
pages = "397--407",
editor = "Herb Kunze and Kilgour, {D. Marc} and Roman Makarov and Roderick Melnik and Xu Wang",
booktitle = "Recent Advances in Mathematical and Statistical Methods - IV AMMCS International Conference",
publisher = "Springer New York LLC",

}

TY - GEN

T1 - Spreading of Nearshore Effluent Discharges on Eroded Sloping Sandy Beaches

AU - Purnama, Anton

AU - Al-Maamari, Huda A.

AU - Balakrishnan, Easwaran

PY - 2018/1/1

Y1 - 2018/1/1

N2 - A far field modeling study is presented to evaluate the effect of erosion of a sloping sandy beach upon the mixing and dispersion of the effluent discharges from a multiport diffuser. The two-dimensional advection-diffusion equation with multiple point sources is analytically solved and illustrated graphically by plotting contours of solution to replicate the interaction and merging of the nearshore effluent discharged plumes in coastal waters. The compounded shoreline concentration is asymptotically approximated and used as an environmental impact measure to assess how well the effluent plumes are diluted downstream. It is found that the significant increase in maximum concentration value due to erosion can be reduced by adding more ports and extending the diffuser pipe. The result demonstrates that a modern marine outfall system equipped with multiport diffusers does produce lower potential environmental impacts.

AB - A far field modeling study is presented to evaluate the effect of erosion of a sloping sandy beach upon the mixing and dispersion of the effluent discharges from a multiport diffuser. The two-dimensional advection-diffusion equation with multiple point sources is analytically solved and illustrated graphically by plotting contours of solution to replicate the interaction and merging of the nearshore effluent discharged plumes in coastal waters. The compounded shoreline concentration is asymptotically approximated and used as an environmental impact measure to assess how well the effluent plumes are diluted downstream. It is found that the significant increase in maximum concentration value due to erosion can be reduced by adding more ports and extending the diffuser pipe. The result demonstrates that a modern marine outfall system equipped with multiport diffusers does produce lower potential environmental impacts.

KW - Advection diffusion equation

KW - Far field model

KW - Multiport diffuser

KW - Sea outfall

KW - Shoreline concentration

UR - http://www.scopus.com/inward/record.url?scp=85057193614&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85057193614&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-99719-3_36

DO - 10.1007/978-3-319-99719-3_36

M3 - Conference contribution

SN - 9783319997186

VL - 259

SP - 397

EP - 407

BT - Recent Advances in Mathematical and Statistical Methods - IV AMMCS International Conference

A2 - Kunze, Herb

A2 - Kilgour, D. Marc

A2 - Makarov, Roman

A2 - Melnik, Roderick

A2 - Wang, Xu

PB - Springer New York LLC

ER -