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A strategy to avoid ill-posedness in mixed sediment morphodynamics. / Chavarrias Borras, Victor; Stecca, Guglielmo; Labeur, Robert Jan; Blom, Astrid.

2017. 166-166 Abstract from RCEM 2017 - Back to Italy:The 10th symposium on River, Coastal and Estuarine Morphodynamics, Trento-Padova, .

Research output: Contribution to conferenceAbstractScientific

Harvard

Chavarrias Borras, V, Stecca, G, Labeur, RJ & Blom, A 2017, 'A strategy to avoid ill-posedness in mixed sediment morphodynamics' RCEM 2017 - Back to Italy:The 10th symposium on River, Coastal and Estuarine Morphodynamics, Trento-Padova, 15/09/17 - 22/09/17, pp. 166-166.

APA

Chavarrias Borras, V., Stecca, G., Labeur, R. J., & Blom, A. (2017). A strategy to avoid ill-posedness in mixed sediment morphodynamics. 166-166. Abstract from RCEM 2017 - Back to Italy:The 10th symposium on River, Coastal and Estuarine Morphodynamics, Trento-Padova, .

Vancouver

Chavarrias Borras V, Stecca G, Labeur RJ, Blom A. A strategy to avoid ill-posedness in mixed sediment morphodynamics. 2017. Abstract from RCEM 2017 - Back to Italy:The 10th symposium on River, Coastal and Estuarine Morphodynamics, Trento-Padova, .

Author

Chavarrias Borras, Victor ; Stecca, Guglielmo ; Labeur, Robert Jan ; Blom, Astrid. / A strategy to avoid ill-posedness in mixed sediment morphodynamics. Abstract from RCEM 2017 - Back to Italy:The 10th symposium on River, Coastal and Estuarine Morphodynamics, Trento-Padova, .

BibTeX

@conference{d90a1763c4cb4ae4af871d049ec477eb,
title = "A strategy to avoid ill-posedness in mixed sediment morphodynamics",
abstract = "The active layer model (Hirano, 1971) is the most commonly used model to account for mixed-size sediment processes in modeling morphodynamics of rivers, coasts, and estuaries. In this model, only the sediment in the topmost part of the bed (the active layer, characterized by a certain thickness, and assumed to be fully mixed) interacts with the flow. The sediment in the active layer can be entrained and the transported sediment can be deposited in the active layer. The grain size distribution of the sediment below the active layer, the substrate, typically varies with elevation. There is a net flux of sediment between the active layer and the substrate if the bed aggrades or degrades. Due to the highly schematized treatment of the bed processes, the active layer model may present elliptic (rather than hyperbolic) behavior (Ribberink, 1987). A system of equations that models changes in time cannot be of an elliptic type. This is because in that case future conditions influence the present, which is physically unrealistic. Such a model is mathematically ill-posed. The solution of an ill-posed problem is unstable to short wave perturbations. Another example of an ill-posed problem is the twofluid model. Zanotti et al. (2007) developed a regularization strategy to restore the hyperbolic character when it becomes ill-posed. Our objective is to apply a similar concept to guarantee the hyperbolic character of the active layer model.",
author = "{Chavarrias Borras}, Victor and Guglielmo Stecca and Labeur, {Robert Jan} and Astrid Blom",
note = "Host publication:The 10th Symposium on River, Coastal and Estuarine Morphodynamics, Trento-Padova, 15-22 September 2017, Book of Abstracts Editors: Lanzoni, S., Redolfi, M., Zolezzi, G. ISBN (Print): 978-88-8443-752-5 ; RCEM 2017 - Back to Italy:The 10th symposium on River, Coastal and Estuarine Morphodynamics, Trento-Padova, ; Conference date: 15-09-2017 Through 22-09-2017",
year = "2017",
language = "English",
pages = "166--166",
url = "http://events.unitn.it/en/rcem17",

}

RIS

TY - CONF

T1 - A strategy to avoid ill-posedness in mixed sediment morphodynamics

AU - Chavarrias Borras, Victor

AU - Stecca, Guglielmo

AU - Labeur, Robert Jan

AU - Blom, Astrid

N1 - Host publication:The 10th Symposium on River, Coastal and Estuarine Morphodynamics, Trento-Padova, 15-22 September 2017, Book of Abstracts Editors: Lanzoni, S., Redolfi, M., Zolezzi, G. ISBN (Print): 978-88-8443-752-5

PY - 2017

Y1 - 2017

N2 - The active layer model (Hirano, 1971) is the most commonly used model to account for mixed-size sediment processes in modeling morphodynamics of rivers, coasts, and estuaries. In this model, only the sediment in the topmost part of the bed (the active layer, characterized by a certain thickness, and assumed to be fully mixed) interacts with the flow. The sediment in the active layer can be entrained and the transported sediment can be deposited in the active layer. The grain size distribution of the sediment below the active layer, the substrate, typically varies with elevation. There is a net flux of sediment between the active layer and the substrate if the bed aggrades or degrades. Due to the highly schematized treatment of the bed processes, the active layer model may present elliptic (rather than hyperbolic) behavior (Ribberink, 1987). A system of equations that models changes in time cannot be of an elliptic type. This is because in that case future conditions influence the present, which is physically unrealistic. Such a model is mathematically ill-posed. The solution of an ill-posed problem is unstable to short wave perturbations. Another example of an ill-posed problem is the twofluid model. Zanotti et al. (2007) developed a regularization strategy to restore the hyperbolic character when it becomes ill-posed. Our objective is to apply a similar concept to guarantee the hyperbolic character of the active layer model.

AB - The active layer model (Hirano, 1971) is the most commonly used model to account for mixed-size sediment processes in modeling morphodynamics of rivers, coasts, and estuaries. In this model, only the sediment in the topmost part of the bed (the active layer, characterized by a certain thickness, and assumed to be fully mixed) interacts with the flow. The sediment in the active layer can be entrained and the transported sediment can be deposited in the active layer. The grain size distribution of the sediment below the active layer, the substrate, typically varies with elevation. There is a net flux of sediment between the active layer and the substrate if the bed aggrades or degrades. Due to the highly schematized treatment of the bed processes, the active layer model may present elliptic (rather than hyperbolic) behavior (Ribberink, 1987). A system of equations that models changes in time cannot be of an elliptic type. This is because in that case future conditions influence the present, which is physically unrealistic. Such a model is mathematically ill-posed. The solution of an ill-posed problem is unstable to short wave perturbations. Another example of an ill-posed problem is the twofluid model. Zanotti et al. (2007) developed a regularization strategy to restore the hyperbolic character when it becomes ill-posed. Our objective is to apply a similar concept to guarantee the hyperbolic character of the active layer model.

M3 - Abstract

SP - 166

EP - 166

ER -

ID: 41980179