Water wave transients in an ice-covered channel
Many studies show that the propagation of a breakup water surge in impeded rivers (ice cover present) differs from the unimpeded case. Some of the differences are due to ice sheet breaking into pieces as the wave travels downstream while others are due to the effect of a fissured but otherwise intac...
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crcansciencepubl:10.1139/l11-010 2024-03-03T08:45:26+00:00 Water wave transients in an ice-covered channel Nzokou, François Morse, Brian Robert, Jean-Loup Richard, Martin Tossou, Edmond 2011 http://dx.doi.org/10.1139/l11-010 http://www.nrcresearchpress.com/doi/full-xml/10.1139/l11-010 http://www.nrcresearchpress.com/doi/pdf/10.1139/l11-010 en eng Canadian Science Publishing http://www.nrcresearchpress.com/page/about/CorporateTextAndDataMining Canadian Journal of Civil Engineering volume 38, issue 4, page 404-414 ISSN 0315-1468 1208-6029 General Environmental Science Civil and Structural Engineering journal-article 2011 crcansciencepubl https://doi.org/10.1139/l11-010 2024-02-07T10:53:32Z Many studies show that the propagation of a breakup water surge in impeded rivers (ice cover present) differs from the unimpeded case. Some of the differences are due to ice sheet breaking into pieces as the wave travels downstream while others are due to the effect of a fissured but otherwise intact ice cover’s resistance to motion. This is the subject of this paper: water waves that are sufficiently strong to break the cover away from the banks but not strong enough to create transverse cracks. Although some analytical solutions exist for the propagation of these transients for simple cases, for the first time in the literature, this paper introduces numerical solutions using a FEM model (HYDROBEAM) that simulates this interaction using the one-dimensional Saint-Venant equations appropriately written for rivers having an intact fissured floating ice cover coupled with a classic beam equation subject to hydrostatic loads (often referred to as a beam on an elastic foundation). The governing equations are numerically expressed and are solved using a finite element method (FEM) for the hydrodynamic and ice beam equations separately. A coupling technique is used to converge to a unique solution at each time step (for more information on the numerical characteristics of the model, see companion paper presented by the authors in this issue). The coupled model, gives a first and unique opportunity to compare the simplified analytical solutions to the full numerical solutions. A parametric analysis is herein presented that quantifies the impact of the ice cover's presence and stiffness on wave attenuation and wave celerity as well as to quantify tensile stresses generated in the ice sheet as a function of ice properties (thickness and strength) and channel shape (rectangular and trapezoidal). In general, for rectangular channels, it was found that the simplified analytical solutions are quite representative of the phenomenon namely that short wave transients are affected by the cover’s stiffness but long waves (>400 ... Article in Journal/Newspaper Ice Sheet Canadian Science Publishing Canadian Journal of Civil Engineering 38 4 404 414 |
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Canadian Science Publishing |
op_collection_id |
crcansciencepubl |
language |
English |
topic |
General Environmental Science Civil and Structural Engineering |
spellingShingle |
General Environmental Science Civil and Structural Engineering Nzokou, François Morse, Brian Robert, Jean-Loup Richard, Martin Tossou, Edmond Water wave transients in an ice-covered channel |
topic_facet |
General Environmental Science Civil and Structural Engineering |
description |
Many studies show that the propagation of a breakup water surge in impeded rivers (ice cover present) differs from the unimpeded case. Some of the differences are due to ice sheet breaking into pieces as the wave travels downstream while others are due to the effect of a fissured but otherwise intact ice cover’s resistance to motion. This is the subject of this paper: water waves that are sufficiently strong to break the cover away from the banks but not strong enough to create transverse cracks. Although some analytical solutions exist for the propagation of these transients for simple cases, for the first time in the literature, this paper introduces numerical solutions using a FEM model (HYDROBEAM) that simulates this interaction using the one-dimensional Saint-Venant equations appropriately written for rivers having an intact fissured floating ice cover coupled with a classic beam equation subject to hydrostatic loads (often referred to as a beam on an elastic foundation). The governing equations are numerically expressed and are solved using a finite element method (FEM) for the hydrodynamic and ice beam equations separately. A coupling technique is used to converge to a unique solution at each time step (for more information on the numerical characteristics of the model, see companion paper presented by the authors in this issue). The coupled model, gives a first and unique opportunity to compare the simplified analytical solutions to the full numerical solutions. A parametric analysis is herein presented that quantifies the impact of the ice cover's presence and stiffness on wave attenuation and wave celerity as well as to quantify tensile stresses generated in the ice sheet as a function of ice properties (thickness and strength) and channel shape (rectangular and trapezoidal). In general, for rectangular channels, it was found that the simplified analytical solutions are quite representative of the phenomenon namely that short wave transients are affected by the cover’s stiffness but long waves (>400 ... |
format |
Article in Journal/Newspaper |
author |
Nzokou, François Morse, Brian Robert, Jean-Loup Richard, Martin Tossou, Edmond |
author_facet |
Nzokou, François Morse, Brian Robert, Jean-Loup Richard, Martin Tossou, Edmond |
author_sort |
Nzokou, François |
title |
Water wave transients in an ice-covered channel |
title_short |
Water wave transients in an ice-covered channel |
title_full |
Water wave transients in an ice-covered channel |
title_fullStr |
Water wave transients in an ice-covered channel |
title_full_unstemmed |
Water wave transients in an ice-covered channel |
title_sort |
water wave transients in an ice-covered channel |
publisher |
Canadian Science Publishing |
publishDate |
2011 |
url |
http://dx.doi.org/10.1139/l11-010 http://www.nrcresearchpress.com/doi/full-xml/10.1139/l11-010 http://www.nrcresearchpress.com/doi/pdf/10.1139/l11-010 |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_source |
Canadian Journal of Civil Engineering volume 38, issue 4, page 404-414 ISSN 0315-1468 1208-6029 |
op_rights |
http://www.nrcresearchpress.com/page/about/CorporateTextAndDataMining |
op_doi |
https://doi.org/10.1139/l11-010 |
container_title |
Canadian Journal of Civil Engineering |
container_volume |
38 |
container_issue |
4 |
container_start_page |
404 |
op_container_end_page |
414 |
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1792500991761842176 |