Implementation of method of lines to predict water levels due to a storm along the coastal region of Bangladesh

Paul, Gour Chandra; Ismail, Ahmad Izani Md.; Karim, Md. Fazlul

doi:10.1007/s10872-014-0224-x

Cited by 22 publications

(18 citation statements)

References 25 publications

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“…For the eastern and western river boundaries, whenever it is a vertical sidewall, the boundary condition can be set as [25] ξ riv = 0…”

Section: Boundary Condition For the River Modelmentioning

confidence: 99%

“…The extended analysis area of the northern boundary was situated at the head of the river, where the conditions can be put into the following form. If the fresh water discharge from the river is taken into account, then the appropriate boundary condition can be expressed as [25] u riv = Q B riv h riv , and u riv = 0 (12) when no fresh water discharge is considered, where B riv is the river breath and Q represents the river discharge.…”

Section: Boundary Condition For the River Modelmentioning

confidence: 99%

“…Thus, a complete understanding of the factors affecting surge development and its accurate prediction along the coast of Bangladesh is highly desirable. Although a considerable number of studies [18,[20][21][22][23][24][25] have been conducted for the coast of Bangladesh, these studies have been insufficient at accurately incorporating the effect of the river system in storm surge modeling. The authors in [20] were the first to incorporate the effect of an idealized lower Meghna in a storm surge simulation, finding a contribution of the river on storm surge simulation.…”

Section: Introductionmentioning

confidence: 99%

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Impact Assessment of a Major River Basin in Bangladesh on Storm Surge Simulation

Mohit

Yamashiro

Hashimoto

et al. 2018

JMSE

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A two-dimensional bay and river coupled numerical model in Cartesian coordinates was developed to find the impact of the river on the simulated water levels associated with a storm along the coast of Bangladesh. The shallow water models developed for both the bay and river were discretized by the finite difference method with forward in time and central in space. The boundaries for the coast and islands were approximated through proper stair steps representation and solved by a conditionally stable semi-implicit manner on a staggered Arakawa C-grid. A one-way nested scheme technique was used in the bay model to include coastal complexities as well as to save computational costs. A stable tidal condition was made by forcing the sea levels with the most energetic tidal constituent, M2, along with the southern open boundary of the bay model omitting wind stress. The developed model was then applied to foresee the sea-surface elevation associated with the catastrophic cyclone of 1991 and cyclone MORA. A comparative study of the water levels associated with a storm was made through model simulations with and without the inclusion of the river system. We found that the surge height in the bay-river junction area decreased by 20% and the surge height reduced by about 3–8% outside the junction area from this study. The obtained results were found to have a satisfactory similarity with some of the observed data.

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“…For the eastern and western river boundaries, whenever it is a vertical sidewall, the boundary condition can be set as [25] ξ riv = 0…”

Section: Boundary Condition For the River Modelmentioning

confidence: 99%

Section: Boundary Condition For the River Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Impact Assessment of a Major River Basin in Bangladesh on Storm Surge Simulation

Mohit

Yamashiro

Hashimoto

et al. 2018

JMSE

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“…Various ranges of motion must be investigated through numerical discrete structure of the governing equations to forecast surge in coastal area exactly. It is also indispensable to examine long-term observation data perfectly in predicting the areas that storm surges might affect with precession [6][7][8]. As the landward boundary is approached, substantial grid refinement is typically required to resolve important scheme and prevent energy from aliasing.…”

Section: Introductionmentioning

confidence: 99%

Development of Prediction Model for Storm Surge Hazards in the Developing Countries

Naher

Paul

2020

Iecg 2020

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Bangladesh is one of the most vulnerable countries in the world with around 718000 deaths in the past fifty years. This country is especially in danger for cyclones because of its locations at the triangular-shaped Bay of Bengal. The scientific scenario suggests that enlarged sea surface temperature will intensify cyclone movement. Tropical cyclone generates storm surge. Storm surges severely change the coastal environment, damage coastal structures, destroy forests, crops, inundate the coastline with saltwater and loss of lives. Due to overcrowding in the mainland in Bangladesh, poor and landless people live in the coast and they face frequent cyclones and associated surges. They affect to have food and drinking water; in danger the transmission risks of infectious diseases, such as diarrhoea, malaria, eye infections, skin diseases, etc. Some problems following a cyclone usually create for their low literacy rate and poor knowledge of the environment. The tangible monitoring and warning of the cyclones and associated surges should be given more priority for the region. The main objectives of this paper are to highlight the existing activities as the model in storm surges and related areas in the Bay of Bengal. We would explain the progress of a location-specific real-time standpoint prediction system for providing effective and timely surge forecasts. We would also introduce a model through numerical experiments with severe cyclone April 1991 to predict the storm surges that would be used to reduce economic losses and the number of death tolls during a strong storm surge in the coastal area of Bangladesh.

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“…Thus the results came out from the investigation of Rahman et al [7] may be a little bit far from the reality. However, to incorporate the thickly populated irregularly shaped big and small islands along with coastal and island boundary curvelinearity and bottom topographic complexities properly, a very fine resolution of grids is required near the coast whereas it is unnecessary away from the coast [5,7]. It is to be mentioned at this juncture that the polar coordinate system itself has the advantages that it ensures high resolution of grids near the pole and lower ones away from it along the tangential direction.…”

Section: Introductionmentioning

confidence: 99%

Approximation of a Complex Geometric Domain in Polar Coordinates

Paul

Murshed

Rasid

et al. 2019

GANIT: J. Bangladesh Math. Soc.

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In this study, a complex geometric domain having a colour picture is approximated through a stair- step representation of the coastal and island boundaries to make it suitable for implementing finite difference method in solving shallow water equations (SWEs) in polar coordinates. As a complex domain, we choose the coastal region of Bangladesh situated at the northern tip of the Bay of Bengal (BOB). To cover the whole coastal region, the pole is selected at the point in the plane assuming it on the mean sea level (MSL). Along the tangential direction, 265 uniformly distributive straight lines are considered through the pole and 959 circular grid lines centered at are drawn towards the radial direction covering up to latitude in the BOB. Firstly, a matrix with 960´265 computational grids is constructed from the colour information of the picture. By representing the grids with suitable notations, a proper stair-step algorithm is employed to the matrix obtained with the 960´265 grids to approximate the coastal and island boundaries to the nearest finite difference grid lines using an Arakawa C-grid system. The whole procedure is done with our developed MATLAB program. The grids representing the coastal stations are also identified closely in the obtained approximated domain. Such a type of presentation of the coastal geometry of the region of interest is found to incorporate its complexities properly with minimum computational grid points. GANIT J. Bangladesh Math. Soc.Vol. 38 (2018) 105-118

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Implementation of method of lines to predict water levels due to a storm along the coastal region of Bangladesh

Cited by 22 publications

References 25 publications

Impact Assessment of a Major River Basin in Bangladesh on Storm Surge Simulation

Impact Assessment of a Major River Basin in Bangladesh on Storm Surge Simulation

Development of Prediction Model for Storm Surge Hazards in the Developing Countries

Approximation of a Complex Geometric Domain in Polar Coordinates

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