Generalized algorithms for particle motion and collision with streambeds.

Patricio A. Moreno-Casas; Fabián A. Bombardelli; Juan Pablo Toro

doi:10.1016/j.ijsrc.2018.10.011

Generalized algorithms for particle motion and collision with streambeds.

Patricio A. Moreno-Casas^*, Fabián A. Bombardelli, Juan Pablo Toro

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Recent theoretical and numerical models for the motion of saltating particles close to stream beds are constituted of three sub-models: a) a set of equations describing the particle “free flight”, b) a sub-model to calculate the post-collision particle velocity, and c) a mathematical representation of the bed roughness. In this paper, a comprehensive three-dimensional (3-D), theoretical/numerical model for bed-load motion at large Reynolds numbers is presented. By using geometric considerations and stochastic parameters to characterize collisions with the wall, five new sub-models for representation of bed roughness are, for the first time to the best of our knowledge, proposed and implemented. The emphasis of this paper is on the particle model, for which Basset, Magnus, drag, submerged weight, virtual mass, and lift forces are included. For the range of particle sizes (sands) analyzed herein, it is found that the stream-wise contribution of the Basset force, compared to other forces, may be as large as 60%. Whereas in the wall-normal direction, the Basset force is equally important as the drag force, and it is exceeded only by the submerged weight. It is also found that the best agreement between numerical and experimental results in terms of jump length, jump height, and stream-wise particle velocity is achieved for restitution and friction coefficients of 0.65 and 0.1, respectively. Important conclusions are obtained regarding the lack of realistic prediction with available “roughness” models with small ranges of angles.

Original language	English
Pages (from-to)	295-306
Number of pages	12
Journal	International Journal of Sediment Research
Volume	34
Issue number	4
DOIs	https://doi.org/10.1016/j.ijsrc.2018.10.011
State	Published - Aug 2019

Bibliographical note

Funding Information:
The authors express their sincere thanks to Prof. Yarko Ni?o for the detailed information he provided regarding his numerical and experimental findings. The authors thank Dr. Andrea E. Gonz?lez and Dr. Ryan Moniz for their collaboration in this research. The authors thank Prof. Francesco Ballio for fruitful discussions. We would also like to thank Prof. Jos? Antonio Abell for his generous contribution at the end of this work. Finally, the authors acknowledge the financial support from the Chilean National Commission for Scientific and Technological Research (CONICYT), FONDECYT-Iniciaci?n, Research Project no 11150511.

Funding Information:
The authors express their sincere thanks to Prof. Yarko Niño for the detailed information he provided regarding his numerical and experimental findings. The authors thank Dr. Andrea E. González and Dr. Ryan Moniz for their collaboration in this research. The authors thank Prof. Francesco Ballio for fruitful discussions. We would also like to thank Prof. José Antonio Abell for his generous contribution at the end of this work. Finally, the authors acknowledge the financial support from the Chilean National Commission for Scientific and Technological Research (CONICYT), FONDECYT -Iniciación, Research Project no 11150511 .

Publisher Copyright:
© 2019 International Research and Training Centre on Erosion and Sedimentation/the World Association for Sedimentation and Erosion Research

Keywords

Basset force
Bed-load transport
Particle collision
Particle rotation
Particle saltation

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10.1016/j.ijsrc.2018.10.011

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@article{58d67d0469c24f5cb01ec73711f908f3,

title = "Generalized algorithms for particle motion and collision with streambeds.",

abstract = "Recent theoretical and numerical models for the motion of saltating particles close to stream beds are constituted of three sub-models: a) a set of equations describing the particle “free flight”, b) a sub-model to calculate the post-collision particle velocity, and c) a mathematical representation of the bed roughness. In this paper, a comprehensive three-dimensional (3-D), theoretical/numerical model for bed-load motion at large Reynolds numbers is presented. By using geometric considerations and stochastic parameters to characterize collisions with the wall, five new sub-models for representation of bed roughness are, for the first time to the best of our knowledge, proposed and implemented. The emphasis of this paper is on the particle model, for which Basset, Magnus, drag, submerged weight, virtual mass, and lift forces are included. For the range of particle sizes (sands) analyzed herein, it is found that the stream-wise contribution of the Basset force, compared to other forces, may be as large as 60%. Whereas in the wall-normal direction, the Basset force is equally important as the drag force, and it is exceeded only by the submerged weight. It is also found that the best agreement between numerical and experimental results in terms of jump length, jump height, and stream-wise particle velocity is achieved for restitution and friction coefficients of 0.65 and 0.1, respectively. Important conclusions are obtained regarding the lack of realistic prediction with available “roughness” models with small ranges of angles.",

keywords = "Basset force, Bed-load transport, Particle collision, Particle rotation, Particle saltation",

author = "Moreno-Casas, {Patricio A.} and Bombardelli, {Fabi{\'a}n A.} and Toro, {Juan Pablo}",

note = "Funding Information: The authors express their sincere thanks to Prof. Yarko Ni?o for the detailed information he provided regarding his numerical and experimental findings. The authors thank Dr. Andrea E. Gonz?lez and Dr. Ryan Moniz for their collaboration in this research. The authors thank Prof. Francesco Ballio for fruitful discussions. We would also like to thank Prof. Jos? Antonio Abell for his generous contribution at the end of this work. Finally, the authors acknowledge the financial support from the Chilean National Commission for Scientific and Technological Research (CONICYT), FONDECYT-Iniciaci?n, Research Project no 11150511. Funding Information: The authors express their sincere thanks to Prof. Yarko Ni{\~n}o for the detailed information he provided regarding his numerical and experimental findings. The authors thank Dr. Andrea E. Gonz{\'a}lez and Dr. Ryan Moniz for their collaboration in this research. The authors thank Prof. Francesco Ballio for fruitful discussions. We would also like to thank Prof. Jos{\'e} Antonio Abell for his generous contribution at the end of this work. Finally, the authors acknowledge the financial support from the Chilean National Commission for Scientific and Technological Research (CONICYT), FONDECYT -Iniciaci{\'o}n, Research Project no 11150511 . Publisher Copyright: {\textcopyright} 2019 International Research and Training Centre on Erosion and Sedimentation/the World Association for Sedimentation and Erosion Research",

year = "2019",

month = aug,

doi = "10.1016/j.ijsrc.2018.10.011",

language = "English",

volume = "34",

pages = "295--306",

journal = "International Journal of Sediment Research",

issn = "1001-6279",

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T1 - Generalized algorithms for particle motion and collision with streambeds.

AU - Moreno-Casas, Patricio A.

AU - Bombardelli, Fabián A.

AU - Toro, Juan Pablo

N1 - Funding Information: The authors express their sincere thanks to Prof. Yarko Ni?o for the detailed information he provided regarding his numerical and experimental findings. The authors thank Dr. Andrea E. Gonz?lez and Dr. Ryan Moniz for their collaboration in this research. The authors thank Prof. Francesco Ballio for fruitful discussions. We would also like to thank Prof. Jos? Antonio Abell for his generous contribution at the end of this work. Finally, the authors acknowledge the financial support from the Chilean National Commission for Scientific and Technological Research (CONICYT), FONDECYT-Iniciaci?n, Research Project no 11150511. Funding Information: The authors express their sincere thanks to Prof. Yarko Niño for the detailed information he provided regarding his numerical and experimental findings. The authors thank Dr. Andrea E. González and Dr. Ryan Moniz for their collaboration in this research. The authors thank Prof. Francesco Ballio for fruitful discussions. We would also like to thank Prof. José Antonio Abell for his generous contribution at the end of this work. Finally, the authors acknowledge the financial support from the Chilean National Commission for Scientific and Technological Research (CONICYT), FONDECYT -Iniciación, Research Project no 11150511 . Publisher Copyright: © 2019 International Research and Training Centre on Erosion and Sedimentation/the World Association for Sedimentation and Erosion Research

PY - 2019/8

Y1 - 2019/8

N2 - Recent theoretical and numerical models for the motion of saltating particles close to stream beds are constituted of three sub-models: a) a set of equations describing the particle “free flight”, b) a sub-model to calculate the post-collision particle velocity, and c) a mathematical representation of the bed roughness. In this paper, a comprehensive three-dimensional (3-D), theoretical/numerical model for bed-load motion at large Reynolds numbers is presented. By using geometric considerations and stochastic parameters to characterize collisions with the wall, five new sub-models for representation of bed roughness are, for the first time to the best of our knowledge, proposed and implemented. The emphasis of this paper is on the particle model, for which Basset, Magnus, drag, submerged weight, virtual mass, and lift forces are included. For the range of particle sizes (sands) analyzed herein, it is found that the stream-wise contribution of the Basset force, compared to other forces, may be as large as 60%. Whereas in the wall-normal direction, the Basset force is equally important as the drag force, and it is exceeded only by the submerged weight. It is also found that the best agreement between numerical and experimental results in terms of jump length, jump height, and stream-wise particle velocity is achieved for restitution and friction coefficients of 0.65 and 0.1, respectively. Important conclusions are obtained regarding the lack of realistic prediction with available “roughness” models with small ranges of angles.

AB - Recent theoretical and numerical models for the motion of saltating particles close to stream beds are constituted of three sub-models: a) a set of equations describing the particle “free flight”, b) a sub-model to calculate the post-collision particle velocity, and c) a mathematical representation of the bed roughness. In this paper, a comprehensive three-dimensional (3-D), theoretical/numerical model for bed-load motion at large Reynolds numbers is presented. By using geometric considerations and stochastic parameters to characterize collisions with the wall, five new sub-models for representation of bed roughness are, for the first time to the best of our knowledge, proposed and implemented. The emphasis of this paper is on the particle model, for which Basset, Magnus, drag, submerged weight, virtual mass, and lift forces are included. For the range of particle sizes (sands) analyzed herein, it is found that the stream-wise contribution of the Basset force, compared to other forces, may be as large as 60%. Whereas in the wall-normal direction, the Basset force is equally important as the drag force, and it is exceeded only by the submerged weight. It is also found that the best agreement between numerical and experimental results in terms of jump length, jump height, and stream-wise particle velocity is achieved for restitution and friction coefficients of 0.65 and 0.1, respectively. Important conclusions are obtained regarding the lack of realistic prediction with available “roughness” models with small ranges of angles.

KW - Basset force

KW - Bed-load transport

KW - Particle collision

KW - Particle rotation

KW - Particle saltation

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DO - 10.1016/j.ijsrc.2018.10.011

M3 - Article

AN - SCOPUS:85063749797

SN - 1001-6279

VL - 34

SP - 295

EP - 306

JO - International Journal of Sediment Research

JF - International Journal of Sediment Research

IS - 4

ER -

Generalized algorithms for particle motion and collision with streambeds.

Abstract

Bibliographical note

Keywords

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