TITLE:
A Short Review on Computational Hydraulics in the Context of Water Resources Engineering
AUTHORS:
Shiblu Sarker
KEYWORDS:
Computational Hydraulics, Finite Difference Method, Finite Element Method, Finite Volume Method
JOURNAL NAME:
Open Journal of Modelling and Simulation,
Vol.10 No.1,
December
9,
2021
ABSTRACT: The term “hydraulics” is concerned with the conveyance of water that can
consist of very simple processes to complex physical processes, such as flow in open rivers, flow in pipes, the flow of nutrients/sediments, the flow of groundwater to sea waves. The study of hydraulics
is primarily a mixture of theory and
experiments. Computational hydraulics is very helpful to quantify and predict
flow nature and behavior. The mathematical model is the backbone of the computational hydraulics that
consists of simple to complex mathematical equations with linear
and/or non-linear terms and ordinary or partial differential equations.
Analytical solution to these mathematical equations is not feasible in the
majority of cases. In these consequences, mathematical models are solved using
different numerical techniques and associated schemes. In this manuscript, we aim to review hydraulic principles along with
their mathematical equations. Then we aim to learn some commonly used numerical
techniques to solve different types of differential equations
related to hydraulics. Among them, the Finite Difference Method (FDM), Finite Element
Method (FEM) and Finite Volume Method (FVM) have been discussed along with
their use in real-life applications in the context of water resources
engineering.