TECHNICAL PAPERS
Apr 1, 1999

2D Numerical Model of Flooding in East Bangkok

Publication: Journal of Hydraulic Engineering
Volume 125, Issue 4

Abstract

We propose a new numerical flooding model oriented to water systems comprising large canal networks. Our approach is based on the diffusion wave equation related to a modified version of the so-called “calculations with apparent cross-sectional flow areas.” Our mathematical formulation is based on the analogy of a porous medium characterized by a permeability depending on parameters and directions of the canal network. Next, we combine the “continuous medium” approach with the nonnegative stable numerical algorithm (initially developed for the 1D diffusion wave equation). A numerical solution of our resulting finite-difference equations requires a tangible generalization of the nonnegative algorithm to the case of coupled 2D river-surface flows. Finally, we simulate the flood evolution in the lower Chao-Praya river basin (located in the eastern areas of Bangkok), and we demonstrate the computational efficiency of our proposed method.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Abbot, M. B., and Rodenhuis, G. S. ( 1982). “Numerical modeling of water waves, flows and transport.” Danish Hydr., Danish Hydraulic Institute, Hørsholm, Denwark, 3, 6–23.
2.
Antontsev, S. N., Epihov, G. P., and Kashevarov, A. A. ( 1986). Mathematical modeling of water-exchange processes. Nauka, Novosibirsk, Russia (in Russian).
3.
Barenblatt, G. I., and Vishik, M. I. ( 1956). “On a finite velocity in problems of nonstationary filtration of a liquid and gas.” Appl. Mathematics and Mech., 20(3), 411–417 (in Russian).
4.
Bates, P. D., and Anderson, M. G. ( 1993). “A two-dimensional finite element model for river flow inundation.” Proc., Royal Soc., London, A400 (1909), 481–491.
5.
Beyer, N. A., and Portner, C. ( 1994). “Mike 11: Hydrodynamics simulation of flood protection systems.” Proc., 1st Int. Conf. Hydroinformatics '94, A. A. Balkema, Rotterdam, Brookfield, 407–414.
6.
Chow, V. T., Maidment, D. R., and Mays, L. W. ( 1988). Applied hydrology. McGraw-Hill, New York.
7.
Cunningum, A. B., and Sinclair, P. J. ( 1979). “Application and analysis of coupled surface and groundwater models.” J. Hydrol., Amsterdam, 43(1), 129–148.
8.
Duru, O. J., and Hjelmfelt, A. T. ( 1994). “Investigating prediction capability of HEC-1 and KINEROS kinematic wave runoff models.” J. Hydro., Amsterdam, 157, 87–103.
9.
Fread, D. L. ( 1985). Channel routing: Hydrological forecasting. Wiley, New York, 437–503.
10.
Freeze, R. A. ( 1972). “Role of sub-surface flow in generating surface runoff. Part 1: Base flow contributions to channel flow.” Water Resour. Res., 8(3), 609–623.
11.
Kuchment, L. C., Demidov V. N., and Motovilov, Yu. G. ( 1983). Formation of a river discharge. Nauka, Moscow (in Russian).
12.
Kuchment, L. S., and Gelfan, A. N. ( 1993). Dynamic-stochastic models of river flows. Nauka, Moscow (in Russian).
13.
Leendertse, J. J., and Criton, E. C. ( 1971). “A water quality simulation model for well-mixed estuaries and coastal seas.” Rep. 709-NYC, Vols. I and II. The Rand Corporation, New York.
14.
Makhanov, S. S. ( 1991). “Using curvilinear grids for simulations of coupled surface and sub-surface flows.” Appl. Math. Rep. Ser., Computer Center of the Russian Academy of Science, Moscow (in Russian).
15.
Makhanov, S. S., and Semenov, A. Yu. ( 1994). “A stable non-negative numerical method for calculating the flow of a liquid in the open channel.” Comp. Maths and Math. Phys., 34(1), 104–117.
16.
Makhanov, S. S., and Semenov, A. Yu. ( 1995a). “Modeling of motion of fluid with free surface under level recession.” Water Resour., 1995, 22(4), 389–394.
17.
Makhanov, S. S., and Semenov, A. Yu. ( 1995b). “A new technique for calculating surface runoff.” Meteorology and Hydro., 2, 44–52.
18.
Makhanov, S. S., Vanderperre, E. J., and Panitkulpong, A. ( 1997). “Mathematical modeling of coupled river-groundwater flow on curvilinear grids.” Meteorology and Hydro., 2, 92–106.
19.
Martinez, A., Marquina, A., and Donat, R. ( 1994). “Shooting methods for one-dimensional diffusion-absorption problems.” SIAM J. Numer. Anal., 31(2), 572–589.
20.
Ministry of Agriculture and Cooperatives. ( 1989). “Master plan study on the water management system and monitoring program in the Chao-Phraya river basin.” Final Rep., Royal Irrig., Bangkok, Thailand.
21.
Moore, I.D., and Crayson, R. B. ( 1991). “Terrain-based catchment partitioning and runoff prediction using vector elevation data.” Water Resour. Res., 27, 1177–1191.
22.
Rasul, A. Z. E., and Rabbi, M. F. ( 1994). “GIS in flood mapping for improved flood management in Bangladesh.” Proc., 1st Int. Conf. Hydroinformatics '94, A. A. Balkema, Rotterdam, Brookfield, 629–634.
23.
Syme, W. J., and Paudyal, G. N. ( 1994). “Bangladesh flood management model.” Proc., 2nd Int. Conf. on River Flood Hydr., Wiley, N.Y. 167– 176.
24.
Takasao, T., and Shiiba, M. ( 1988). “Incorporation of the effect of concentration of flow into the kinematic wave equations and its application to runoff system lumping.” J. Hydro., Amsterdam, 102, 301–322.
25.
Tingsanchai, T., and Lal, N. K. (1988). “Subsidence of flood waves in overbank flow areas.”J. Hydr. Res., 26(5), 585–597.
26.
Voevodin, A. F., and Shugrin, S. F. ( 1981). Numerical methods for calculations of one-dimensional systems. Nauka, Novosibirsk, USSR, Siberian Acad. of Sci.
27.
Voltsinger, N. E., and Pyaskovsky, R. V. ( 1977). “Shallow water theory.” Oceanological problems and numerical methods, Gidrometeoizdat, Leningrad, USSR (in Russian).
28.
Wu, W., and Sidle, R. C. ( 1995). “A distributed slope stability model for steep forested basins.” Water Resour. Res., 31(8), 2097–2110.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 125Issue 4April 1999
Pages: 407 - 414

History

Received: Dec 23, 1996
Published online: Apr 1, 1999
Published in print: Apr 1999

Permissions

Request permissions for this article.

Authors

Affiliations

Facu. of Information Technol., King Mongkut's Inst. of Technol. Ladkrabang, Bangkok 10520, Thailand.
Facu. of Information Technol., King Mongkut's Inst. of Technol. Ladkrabang, Bangkok 10520, Thailand.
Facu. of Information Technol., King Mongkut's Inst. of Technol. Ladkrabang, Bangkok 10520, Thailand.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share