Mostrar el registro sencillo del ítem
dc.contributor.author
Cobelli, Pablo Javier
dc.contributor.author
Petitjeans, Philippe
dc.contributor.author
Maurel, Agnès
dc.contributor.author
Pagneux, Vincent
dc.date.available
2018-07-26T15:46:48Z
dc.date.issued
2017-11
dc.identifier.citation
Cobelli, Pablo Javier; Petitjeans, Philippe; Maurel, Agnès; Pagneux, Vincent; Determination of the bottom deformation from space- and time-resolved water wave measurements; Cambridge University Press; Journal of Fluid Mechanics; 835; 11-2017; 301-326
dc.identifier.issn
0022-1120
dc.identifier.uri
http://hdl.handle.net/11336/53162
dc.description.abstract
In this paper we study both theoretically and experimentally the inverse problem of indirectly measuring the shape of a localized bottom deformation with a non-instantaneous time evolution, from either an instantaneous global state (space-based inversion) or a local time-history record (time-based inversion) of the free-surface evolution. Firstly, the mathematical inversion problem is explicitly defined and uniqueness of its solution is established. We then show that this problem is ill-posed in the sense of Hadamard, rendering its solution unstable. In order to overcome this difficulty, we introduce a regularization scheme as well as a strategy for choosing the optimal value of the associated regularization parameter. We then conduct a series of laboratory experiments in which an axisymmetric three-dimensional bottom deformation of controlled shape and time evolution is imposed on a layer of water of constant depth, initially at rest. The detailed evolution of the air–liquid interface is measured by means of a free-surface profilometry technique providing space- and time-resolved data. Based on these experimental data and employing our regularization scheme, we are able to show that it is indeed possible to reconstruct the seabed profile responsible for the linear free-surface dynamics either by space- or time-based inversions. Furthermore, we discuss the different relative advantages of each type of reconstruction, their associated errors and the limitations of the inverse determination.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Cambridge University Press
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Surface Gravity Waves
dc.subject
Waves/Free-Surface Flows
dc.subject.classification
Astronomía
dc.subject.classification
Ciencias Físicas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Determination of the bottom deformation from space- and time-resolved water wave measurements
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-07-23T18:44:12Z
dc.journal.volume
835
dc.journal.pagination
301-326
dc.journal.pais
Reino Unido
dc.journal.ciudad
Cambridge
dc.description.fil
Fil: Cobelli, Pablo Javier. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
dc.description.fil
Fil: Petitjeans, Philippe. Paristech; Francia
dc.description.fil
Fil: Maurel, Agnès. Institut Langevin Ondes Et Images; Francia
dc.description.fil
Fil: Pagneux, Vincent. Laboratoire D'acoustique de L'universite Du Maine; Francia
dc.journal.title
Journal of Fluid Mechanics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/determination-of-the-bottom-deformation-from-space-and-timeresolved-water-wave-measurements/728E9B89CC5E27BD302818722C2570C5
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1017/jfm.2017.741
Archivos asociados