TITLE:
Essence of MIKE 21C (FDM Numerical Scheme): Application on the River Morphology of Bangladesh
AUTHORS:
Shiblu Sarker
KEYWORDS:
Curvilinear Model, Finite Difference Method, MIKE 21C
JOURNAL NAME:
Open Journal of Modelling and Simulation,
Vol.10 No.2,
March
28,
2022
ABSTRACT: Understanding, quantifying, and forecasting water flow
and its behavior in environment is made possible by the use of computational
hydraulics in conjunction with numerical models, which is one of the most
powerful tools currently available. It is made up of simple to complex
mathematical equations having linear and/or nonlinear elements, as well as
ordinary and partial differential equations, and it is used to solve problems
in many areas. In the vast majority of cases, it is not useful to reach
analytical solutions to these mathematical equations using conventional
methods. In these settings, mathematical models are solved by employing a
variety of numerical algorithms and associated schemes. As a result, in this
manuscript, we will cover the most fundamental numerical approach, the Finite
Difference Method (FDM), in order to reformulate the governing equations for
water and sediment flow from a system of partial differential equations to a
system of linear equations. As part of our
analysis into the inner workings of a computer program known as MIKE 21C, we will attempt to gain a better understanding of the hydrodynamic processes
that take place in major rivers in Bangladesh. In addition to that, we will go
over some of the most commonly used morphological studies that have been
conducted on Bangladesh’s major rivers, including morphological solutions that
have been developed in response to water supply concerns.