A TWO-LAYER NON-HYDROSTATIC MODEL FOR WAVE PROPAGATION AT INTERMEDIATE DEPTH AND SHALLOW TILL RUN-UP

Waterwavesthatpropagatefromoceantothecoastexperienceaprocesscalled shoaling,namelyanincreaseinwaveamplitude,aswellasadecreaseinpropa- gation speedandwavelength.Inaddition,thenonlineareffectbecomesimportant when theamplitude-to-depthratiobecomeslargeenough,suchaswhenthewave has reachedacoastalare...

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Main Author:	Artanta Ginting, Maria
Format:	Dissertations
Language:	Indonesia
Online Access:	https://digilib.itb.ac.id/gdl/view/70708
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Institution:	Institut Teknologi Bandung
Language:	Indonesia

id	id-itb.:70708
spelling	id-itb.:707082023-01-19T11:42:52ZA TWO-LAYER NON-HYDROSTATIC MODEL FOR WAVE PROPAGATION AT INTERMEDIATE DEPTH AND SHALLOW TILL RUN-UP Artanta Ginting, Maria Indonesia Dissertations non-hydrostaticmodel,dispersionrelation,waterwavesimulation, run-up, embeddedinfluxing. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/70708 Waterwavesthatpropagatefromoceantothecoastexperienceaprocesscalled shoaling,namelyanincreaseinwaveamplitude,aswellasadecreaseinpropa- gation speedandwavelength.Inaddition,thenonlineareffectbecomesimportant when theamplitude-to-depthratiobecomeslargeenough,suchaswhenthewave has reachedacoastalarea.Themainchallengeofamathematicalmodelof water wavesisitsabilitytoaccuratelycalculatewavevelocity,bothatmedium and shallowdepths,andtotakethenonlineareffectsintoaccount.Bothplayan important roleinpredictingthewaverun-upheightwhenitarrivesatthebeach. Accordingtotheshallowwaterequations(abbreviatedasSWE),thewavepropa- gation velocity(phase)isthesameforeachwavenumber.Meanwhile,accordingto Airy’stheory,thephasevelocityofawavediffersdependingonthewavenumber; this isknownasthewavedispersioneffect.Thedifferenceinwavepropagation speed isquitesignificantinmediumdepthanddeepwaterareas.Therefore,to be abletosimulatewavespropagationfrommediumdepthareatoshallowarea, a modelthatcountdispersioneffectsisneeded.Inthisstudy,weadoptedatwo- layer non-hydrostaticmodel,abbreviatedasNH-2L.Thismodelisquiteefficient, because theverticalintervalisonlydividedintotwoparts,andinherewewill discuss theaccuracyofthismodelinsimulatingwavepropagation,aswellas shorelinedynamics.Anotherchallengeinimplementingthedispersivemodelis the mechanismofwavegeneration,especiallytherelativelyshortwaves.Insome cases thatusetheNH-2Ldispersivemodel,wavegenerationisimplementedusing the embeddedinfluxingmethod.Inaddition,wealsodiscusstheapplicationofthe embedded influxingmethodtoimplementtransparentboundaryconditions. Variousmodelvalidationswerecarriedoutincludingsimulationofstandingwaves, propagationofharmonicwavesonaninclinedplaneandaboveabreakwater, propagationandrun-upofsolitarywaves,aswellassimulationofwavefocusing. Validationiscarriedoutonexperimentaldataandoranalyticalresults.The validation resultsshowagoodfit,whichindicatestheaccuracyoftheNH-2Lmodel that weused.Finally,non-hydrostaticmodelsfortwo-dimensionalproblemsare discussed; The1-layermodelreviewedwassuccessfullyvalidatedbysimulating two testcases,namelythesolitarywavepropagationontheconicalisland,andon the slopingbay. text
institution	Institut Teknologi Bandung
building	Institut Teknologi Bandung Library
continent	Asia
country	Indonesia Indonesia
content_provider	Institut Teknologi Bandung
collection	Digital ITB
language	Indonesia
description	Waterwavesthatpropagatefromoceantothecoastexperienceaprocesscalled shoaling,namelyanincreaseinwaveamplitude,aswellasadecreaseinpropa- gation speedandwavelength.Inaddition,thenonlineareffectbecomesimportant when theamplitude-to-depthratiobecomeslargeenough,suchaswhenthewave has reachedacoastalarea.Themainchallengeofamathematicalmodelof water wavesisitsabilitytoaccuratelycalculatewavevelocity,bothatmedium and shallowdepths,andtotakethenonlineareffectsintoaccount.Bothplayan important roleinpredictingthewaverun-upheightwhenitarrivesatthebeach. Accordingtotheshallowwaterequations(abbreviatedasSWE),thewavepropa- gation velocity(phase)isthesameforeachwavenumber.Meanwhile,accordingto Airy’stheory,thephasevelocityofawavediffersdependingonthewavenumber; this isknownasthewavedispersioneffect.Thedifferenceinwavepropagation speed isquitesignificantinmediumdepthanddeepwaterareas.Therefore,to be abletosimulatewavespropagationfrommediumdepthareatoshallowarea, a modelthatcountdispersioneffectsisneeded.Inthisstudy,weadoptedatwo- layer non-hydrostaticmodel,abbreviatedasNH-2L.Thismodelisquiteefficient, because theverticalintervalisonlydividedintotwoparts,andinherewewill discuss theaccuracyofthismodelinsimulatingwavepropagation,aswellas shorelinedynamics.Anotherchallengeinimplementingthedispersivemodelis the mechanismofwavegeneration,especiallytherelativelyshortwaves.Insome cases thatusetheNH-2Ldispersivemodel,wavegenerationisimplementedusing the embeddedinfluxingmethod.Inaddition,wealsodiscusstheapplicationofthe embedded influxingmethodtoimplementtransparentboundaryconditions. Variousmodelvalidationswerecarriedoutincludingsimulationofstandingwaves, propagationofharmonicwavesonaninclinedplaneandaboveabreakwater, propagationandrun-upofsolitarywaves,aswellassimulationofwavefocusing. Validationiscarriedoutonexperimentaldataandoranalyticalresults.The validation resultsshowagoodfit,whichindicatestheaccuracyoftheNH-2Lmodel that weused.Finally,non-hydrostaticmodelsfortwo-dimensionalproblemsare discussed; The1-layermodelreviewedwassuccessfullyvalidatedbysimulating two testcases,namelythesolitarywavepropagationontheconicalisland,andon the slopingbay.
format	Dissertations
author	Artanta Ginting, Maria
spellingShingle	Artanta Ginting, Maria A TWO-LAYER NON-HYDROSTATIC MODEL FOR WAVE PROPAGATION AT INTERMEDIATE DEPTH AND SHALLOW TILL RUN-UP
author_facet	Artanta Ginting, Maria
author_sort	Artanta Ginting, Maria
title	A TWO-LAYER NON-HYDROSTATIC MODEL FOR WAVE PROPAGATION AT INTERMEDIATE DEPTH AND SHALLOW TILL RUN-UP
title_short	A TWO-LAYER NON-HYDROSTATIC MODEL FOR WAVE PROPAGATION AT INTERMEDIATE DEPTH AND SHALLOW TILL RUN-UP
title_full	A TWO-LAYER NON-HYDROSTATIC MODEL FOR WAVE PROPAGATION AT INTERMEDIATE DEPTH AND SHALLOW TILL RUN-UP
title_fullStr	A TWO-LAYER NON-HYDROSTATIC MODEL FOR WAVE PROPAGATION AT INTERMEDIATE DEPTH AND SHALLOW TILL RUN-UP
title_full_unstemmed	A TWO-LAYER NON-HYDROSTATIC MODEL FOR WAVE PROPAGATION AT INTERMEDIATE DEPTH AND SHALLOW TILL RUN-UP
title_sort	two-layer non-hydrostatic model for wave propagation at intermediate depth and shallow till run-up
url	https://digilib.itb.ac.id/gdl/view/70708
_version_	1822991696455008256

A TWO-LAYER NON-HYDROSTATIC MODEL FOR WAVE PROPAGATION AT INTERMEDIATE DEPTH AND SHALLOW TILL RUN-UP

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