Cite Article

A Staggered Method for Simulating Shallow Water Flows along Channels with Irregular Geometry and Friction

Choose citation format

BibTeX

@article{IJASEIT7413,
   author = {Bambang Agus Sulistyono and Leo Hari Wiryanto and Sudi Mungkasi},
   title = {A Staggered Method for Simulating Shallow Water Flows along Channels with Irregular Geometry and Friction},
   journal = {International Journal on Advanced Science, Engineering and Information Technology},
   volume = {10},
   number = {3},
   year = {2020},
   pages = {952--958},
   keywords = {friction term; irregular geometry; shallow water equations; irregular channel width; irregular topography},
   abstract = {We consider the shallow water equations along channels with non-uniform rectangular cross sections with source terms due to bottom topography, channel width, and friction factor. The system of equations consists of the mass and momentum conservation equations. We have two main goals in this paper. The first is to develop a numerical method for solving the model of shallow water equations involving those source terms. The second is to investigate effects of friction in water flows governed by the model. We limit our research to the flows of one-dimensional problems. The friction uses the Manning's formula. The mathematical model is solved numerically using a finite volume numerical method on staggered grids. We propose the use of this method, because the computation is cheap due to that no Riemann solver is needed in the flux calculation. Along with a detailed description of the scheme, in this paper, we show a strategy to include the discretization of the friction term in the staggered-grid finite volume method. Simulation results indicate that our strategy is successful in solving the problems. Furthermore, an obvious effect of friction is that it slows down water flows. We obtain that great friction values lead to slow motion of water, and at the same time, large water depth. Small friction values result in fast motion of water and small water depth.},
   issn = {2088-5334},
   publisher = {INSIGHT - Indonesian Society for Knowledge and Human Development},
   url = {http://ijaseit.insightsociety.org/index.php?option=com_content&view=article&id=9&Itemid=1&article_id=7413},
   doi = {10.18517/ijaseit.10.3.7413}
}

EndNote

%A Sulistyono, Bambang Agus
%A Wiryanto, Leo Hari
%A Mungkasi, Sudi
%D 2020
%T A Staggered Method for Simulating Shallow Water Flows along Channels with Irregular Geometry and Friction
%B 2020
%9 friction term; irregular geometry; shallow water equations; irregular channel width; irregular topography
%! A Staggered Method for Simulating Shallow Water Flows along Channels with Irregular Geometry and Friction
%K friction term; irregular geometry; shallow water equations; irregular channel width; irregular topography
%X We consider the shallow water equations along channels with non-uniform rectangular cross sections with source terms due to bottom topography, channel width, and friction factor. The system of equations consists of the mass and momentum conservation equations. We have two main goals in this paper. The first is to develop a numerical method for solving the model of shallow water equations involving those source terms. The second is to investigate effects of friction in water flows governed by the model. We limit our research to the flows of one-dimensional problems. The friction uses the Manning's formula. The mathematical model is solved numerically using a finite volume numerical method on staggered grids. We propose the use of this method, because the computation is cheap due to that no Riemann solver is needed in the flux calculation. Along with a detailed description of the scheme, in this paper, we show a strategy to include the discretization of the friction term in the staggered-grid finite volume method. Simulation results indicate that our strategy is successful in solving the problems. Furthermore, an obvious effect of friction is that it slows down water flows. We obtain that great friction values lead to slow motion of water, and at the same time, large water depth. Small friction values result in fast motion of water and small water depth.
%U http://ijaseit.insightsociety.org/index.php?option=com_content&view=article&id=9&Itemid=1&article_id=7413
%R doi:10.18517/ijaseit.10.3.7413
%J International Journal on Advanced Science, Engineering and Information Technology
%V 10
%N 3
%@ 2088-5334

IEEE

Bambang Agus Sulistyono,Leo Hari Wiryanto and Sudi Mungkasi,"A Staggered Method for Simulating Shallow Water Flows along Channels with Irregular Geometry and Friction," International Journal on Advanced Science, Engineering and Information Technology, vol. 10, no. 3, pp. 952-958, 2020. [Online]. Available: http://dx.doi.org/10.18517/ijaseit.10.3.7413.

RefMan/ProCite (RIS)

TY  - JOUR
AU  - Sulistyono, Bambang Agus
AU  - Wiryanto, Leo Hari
AU  - Mungkasi, Sudi
PY  - 2020
TI  - A Staggered Method for Simulating Shallow Water Flows along Channels with Irregular Geometry and Friction
JF  - International Journal on Advanced Science, Engineering and Information Technology; Vol. 10 (2020) No. 3
Y2  - 2020
SP  - 952
EP  - 958
SN  - 2088-5334
PB  - INSIGHT - Indonesian Society for Knowledge and Human Development
KW  - friction term; irregular geometry; shallow water equations; irregular channel width; irregular topography
N2  - We consider the shallow water equations along channels with non-uniform rectangular cross sections with source terms due to bottom topography, channel width, and friction factor. The system of equations consists of the mass and momentum conservation equations. We have two main goals in this paper. The first is to develop a numerical method for solving the model of shallow water equations involving those source terms. The second is to investigate effects of friction in water flows governed by the model. We limit our research to the flows of one-dimensional problems. The friction uses the Manning's formula. The mathematical model is solved numerically using a finite volume numerical method on staggered grids. We propose the use of this method, because the computation is cheap due to that no Riemann solver is needed in the flux calculation. Along with a detailed description of the scheme, in this paper, we show a strategy to include the discretization of the friction term in the staggered-grid finite volume method. Simulation results indicate that our strategy is successful in solving the problems. Furthermore, an obvious effect of friction is that it slows down water flows. We obtain that great friction values lead to slow motion of water, and at the same time, large water depth. Small friction values result in fast motion of water and small water depth.
UR  - http://ijaseit.insightsociety.org/index.php?option=com_content&view=article&id=9&Itemid=1&article_id=7413
DO  - 10.18517/ijaseit.10.3.7413

RefWorks

RT Journal Article
ID 7413
A1 Sulistyono, Bambang Agus
A1 Wiryanto, Leo Hari
A1 Mungkasi, Sudi
T1 A Staggered Method for Simulating Shallow Water Flows along Channels with Irregular Geometry and Friction
JF International Journal on Advanced Science, Engineering and Information Technology
VO 10
IS 3
YR 2020
SP 952
OP 958
SN 2088-5334
PB INSIGHT - Indonesian Society for Knowledge and Human Development
K1 friction term; irregular geometry; shallow water equations; irregular channel width; irregular topography
AB We consider the shallow water equations along channels with non-uniform rectangular cross sections with source terms due to bottom topography, channel width, and friction factor. The system of equations consists of the mass and momentum conservation equations. We have two main goals in this paper. The first is to develop a numerical method for solving the model of shallow water equations involving those source terms. The second is to investigate effects of friction in water flows governed by the model. We limit our research to the flows of one-dimensional problems. The friction uses the Manning's formula. The mathematical model is solved numerically using a finite volume numerical method on staggered grids. We propose the use of this method, because the computation is cheap due to that no Riemann solver is needed in the flux calculation. Along with a detailed description of the scheme, in this paper, we show a strategy to include the discretization of the friction term in the staggered-grid finite volume method. Simulation results indicate that our strategy is successful in solving the problems. Furthermore, an obvious effect of friction is that it slows down water flows. We obtain that great friction values lead to slow motion of water, and at the same time, large water depth. Small friction values result in fast motion of water and small water depth.
LK http://ijaseit.insightsociety.org/index.php?option=com_content&view=article&id=9&Itemid=1&article_id=7413
DO  - 10.18517/ijaseit.10.3.7413