Two-Dimensional Mathematical Modelling of a Dam-Break Wave in a Narrow Steep Stream

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KRZYK, Mario ;KLASINC, Roman ;ČETINA, Matjaž .
Two-Dimensional Mathematical Modelling of a Dam-Break Wave in a Narrow Steep Stream. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 58, n.4, p. 255-262, june 2018. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/two-dimensional-mathematical-modelling-of-a-dam-break-wave-in-a-narrow-steep-stream/>. Date accessed: 23 feb. 2020. 
doi:http://dx.doi.org/10.5545/sv-jme.2010.216.
Krzyk, M., Klasinc, R., & Četina, M.
(2012).
Two-Dimensional Mathematical Modelling of a Dam-Break Wave in a Narrow Steep Stream.
Strojniški vestnik - Journal of Mechanical Engineering, 58(4), 255-262.
doi:http://dx.doi.org/10.5545/sv-jme.2010.216
@article{sv-jmesv-jme.2010.216,
	author = {Mario  Krzyk and Roman  Klasinc and Matjaž  Četina},
	title = {Two-Dimensional Mathematical Modelling of a Dam-Break Wave in a Narrow Steep Stream},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {58},
	number = {4},
	year = {2012},
	keywords = {dam-break wave; steep curved channels; two-dimensional mathematical model; orthogonal curvilinear coordinates; roughness coefficient; model PCFLOW2D-ORTHOCURVE},
	abstract = {The paper deals with hydraulic aspects of a wave, emerging as a result of a potential dam break of the upper storage reservoir of the pumpedstorage hydropower plant Kolarjev vrh. A two-dimensional depth-averaged mathematical approach was used. The upper storage reservoir and its dam failure were modelled with the mathematical model PCFLOW2D, which is based on the Cartesian coordinate numerical mesh. The results of PCFLOW2D were used as the upper boundary condition for the mathematical model PCFLOW2D-ORTHOCURVE, based on the orthogonal curvilinear numerical mesh. The model PCFLOW2D-ORTHOCURVE provided a tool for the analysis of flood wave flow in a steep, narrow and geometrically diversified stream channel. The classic Manning’s equation fails to give good results for streams with steep bed slopes and therefore, a different equation should be used. The application of the Rickenmann’s equation was chosen, presented in a form similar to Manning’s equation. For the purpose of the example given here, the equation was somewhat simplified and adapted to the data available. The roughness coefficient used at each calculation cell depended on the slope of that cell. The results of numerical calculations were compared to measurements carried out on a physical model in the scale of 1 : 200. Regarding the complexity of the flow phenomenon a rather good correlation of maximum depth was established: only at one gauge the difference in water depth was up to 27% while at the other four it was 7% of water depth on average.},
	issn = {0039-2480},	pages = {255-262},	doi = {10.5545/sv-jme.2010.216},
	url = {https://www.sv-jme.eu/article/two-dimensional-mathematical-modelling-of-a-dam-break-wave-in-a-narrow-steep-stream/}
}
Krzyk, M.,Klasinc, R.,Četina, M.
2012 June 58. Two-Dimensional Mathematical Modelling of a Dam-Break Wave in a Narrow Steep Stream. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 58:4
%A Krzyk, Mario 
%A Klasinc, Roman 
%A Četina, Matjaž 
%D 2012
%T Two-Dimensional Mathematical Modelling of a Dam-Break Wave in a Narrow Steep Stream
%B 2012
%9 dam-break wave; steep curved channels; two-dimensional mathematical model; orthogonal curvilinear coordinates; roughness coefficient; model PCFLOW2D-ORTHOCURVE
%! Two-Dimensional Mathematical Modelling of a Dam-Break Wave in a Narrow Steep Stream
%K dam-break wave; steep curved channels; two-dimensional mathematical model; orthogonal curvilinear coordinates; roughness coefficient; model PCFLOW2D-ORTHOCURVE
%X The paper deals with hydraulic aspects of a wave, emerging as a result of a potential dam break of the upper storage reservoir of the pumpedstorage hydropower plant Kolarjev vrh. A two-dimensional depth-averaged mathematical approach was used. The upper storage reservoir and its dam failure were modelled with the mathematical model PCFLOW2D, which is based on the Cartesian coordinate numerical mesh. The results of PCFLOW2D were used as the upper boundary condition for the mathematical model PCFLOW2D-ORTHOCURVE, based on the orthogonal curvilinear numerical mesh. The model PCFLOW2D-ORTHOCURVE provided a tool for the analysis of flood wave flow in a steep, narrow and geometrically diversified stream channel. The classic Manning’s equation fails to give good results for streams with steep bed slopes and therefore, a different equation should be used. The application of the Rickenmann’s equation was chosen, presented in a form similar to Manning’s equation. For the purpose of the example given here, the equation was somewhat simplified and adapted to the data available. The roughness coefficient used at each calculation cell depended on the slope of that cell. The results of numerical calculations were compared to measurements carried out on a physical model in the scale of 1 : 200. Regarding the complexity of the flow phenomenon a rather good correlation of maximum depth was established: only at one gauge the difference in water depth was up to 27% while at the other four it was 7% of water depth on average.
%U https://www.sv-jme.eu/article/two-dimensional-mathematical-modelling-of-a-dam-break-wave-in-a-narrow-steep-stream/
%0 Journal Article
%R 10.5545/sv-jme.2010.216
%& 255
%P 8
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 58
%N 4
%@ 0039-2480
%8 2018-06-28
%7 2018-06-28
Krzyk, Mario, Roman  Klasinc, & Matjaž  Četina.
"Two-Dimensional Mathematical Modelling of a Dam-Break Wave in a Narrow Steep Stream." Strojniški vestnik - Journal of Mechanical Engineering [Online], 58.4 (2012): 255-262. Web.  23 Feb. 2020
TY  - JOUR
AU  - Krzyk, Mario 
AU  - Klasinc, Roman 
AU  - Četina, Matjaž 
PY  - 2012
TI  - Two-Dimensional Mathematical Modelling of a Dam-Break Wave in a Narrow Steep Stream
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2010.216
KW  - dam-break wave; steep curved channels; two-dimensional mathematical model; orthogonal curvilinear coordinates; roughness coefficient; model PCFLOW2D-ORTHOCURVE
N2  - The paper deals with hydraulic aspects of a wave, emerging as a result of a potential dam break of the upper storage reservoir of the pumpedstorage hydropower plant Kolarjev vrh. A two-dimensional depth-averaged mathematical approach was used. The upper storage reservoir and its dam failure were modelled with the mathematical model PCFLOW2D, which is based on the Cartesian coordinate numerical mesh. The results of PCFLOW2D were used as the upper boundary condition for the mathematical model PCFLOW2D-ORTHOCURVE, based on the orthogonal curvilinear numerical mesh. The model PCFLOW2D-ORTHOCURVE provided a tool for the analysis of flood wave flow in a steep, narrow and geometrically diversified stream channel. The classic Manning’s equation fails to give good results for streams with steep bed slopes and therefore, a different equation should be used. The application of the Rickenmann’s equation was chosen, presented in a form similar to Manning’s equation. For the purpose of the example given here, the equation was somewhat simplified and adapted to the data available. The roughness coefficient used at each calculation cell depended on the slope of that cell. The results of numerical calculations were compared to measurements carried out on a physical model in the scale of 1 : 200. Regarding the complexity of the flow phenomenon a rather good correlation of maximum depth was established: only at one gauge the difference in water depth was up to 27% while at the other four it was 7% of water depth on average.
UR  - https://www.sv-jme.eu/article/two-dimensional-mathematical-modelling-of-a-dam-break-wave-in-a-narrow-steep-stream/
@article{{sv-jme}{sv-jme.2010.216},
	author = {Krzyk, M., Klasinc, R., Četina, M.},
	title = {Two-Dimensional Mathematical Modelling of a Dam-Break Wave in a Narrow Steep Stream},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {58},
	number = {4},
	year = {2012},
	doi = {10.5545/sv-jme.2010.216},
	url = {https://www.sv-jme.eu/article/two-dimensional-mathematical-modelling-of-a-dam-break-wave-in-a-narrow-steep-stream/}
}
TY  - JOUR
AU  - Krzyk, Mario 
AU  - Klasinc, Roman 
AU  - Četina, Matjaž 
PY  - 2018/06/28
TI  - Two-Dimensional Mathematical Modelling of a Dam-Break Wave in a Narrow Steep Stream
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 58, No 4 (2012): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2010.216
KW  - dam-break wave, steep curved channels, two-dimensional mathematical model, orthogonal curvilinear coordinates, roughness coefficient, model PCFLOW2D-ORTHOCURVE
N2  - The paper deals with hydraulic aspects of a wave, emerging as a result of a potential dam break of the upper storage reservoir of the pumpedstorage hydropower plant Kolarjev vrh. A two-dimensional depth-averaged mathematical approach was used. The upper storage reservoir and its dam failure were modelled with the mathematical model PCFLOW2D, which is based on the Cartesian coordinate numerical mesh. The results of PCFLOW2D were used as the upper boundary condition for the mathematical model PCFLOW2D-ORTHOCURVE, based on the orthogonal curvilinear numerical mesh. The model PCFLOW2D-ORTHOCURVE provided a tool for the analysis of flood wave flow in a steep, narrow and geometrically diversified stream channel. The classic Manning’s equation fails to give good results for streams with steep bed slopes and therefore, a different equation should be used. The application of the Rickenmann’s equation was chosen, presented in a form similar to Manning’s equation. For the purpose of the example given here, the equation was somewhat simplified and adapted to the data available. The roughness coefficient used at each calculation cell depended on the slope of that cell. The results of numerical calculations were compared to measurements carried out on a physical model in the scale of 1 : 200. Regarding the complexity of the flow phenomenon a rather good correlation of maximum depth was established: only at one gauge the difference in water depth was up to 27% while at the other four it was 7% of water depth on average.
UR  - https://www.sv-jme.eu/article/two-dimensional-mathematical-modelling-of-a-dam-break-wave-in-a-narrow-steep-stream/
Krzyk, Mario, Klasinc, Roman, AND Četina, Matjaž.
"Two-Dimensional Mathematical Modelling of a Dam-Break Wave in a Narrow Steep Stream" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 58 Number 4 (28 June 2018)

Authors

Affiliations

  • University of Ljubljana, Faculty of Civil and Geodetic Engineering, Slovenia 1
  • Graz University of Technology, Institute of Hydraulic Eng. and Water Resources Management, Austria 2

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 58(2012)4, 255-262

https://doi.org/10.5545/sv-jme.2010.216

The paper deals with hydraulic aspects of a wave, emerging as a result of a potential dam break of the upper storage reservoir of the pumpedstorage hydropower plant Kolarjev vrh. A two-dimensional depth-averaged mathematical approach was used. The upper storage reservoir and its dam failure were modelled with the mathematical model PCFLOW2D, which is based on the Cartesian coordinate numerical mesh. The results of PCFLOW2D were used as the upper boundary condition for the mathematical model PCFLOW2D-ORTHOCURVE, based on the orthogonal curvilinear numerical mesh. The model PCFLOW2D-ORTHOCURVE provided a tool for the analysis of flood wave flow in a steep, narrow and geometrically diversified stream channel. The classic Manning’s equation fails to give good results for streams with steep bed slopes and therefore, a different equation should be used. The application of the Rickenmann’s equation was chosen, presented in a form similar to Manning’s equation. For the purpose of the example given here, the equation was somewhat simplified and adapted to the data available. The roughness coefficient used at each calculation cell depended on the slope of that cell. The results of numerical calculations were compared to measurements carried out on a physical model in the scale of 1 : 200. Regarding the complexity of the flow phenomenon a rather good correlation of maximum depth was established: only at one gauge the difference in water depth was up to 27% while at the other four it was 7% of water depth on average.

dam-break wave; steep curved channels; two-dimensional mathematical model; orthogonal curvilinear coordinates; roughness coefficient; model PCFLOW2D-ORTHOCURVE