Abstract
In this work, we will simulate the motion of a single underwater sensor knowing the current velocity to predict its location and velocity during certain time frame using a numerical approach of non-linear time-dependent partial differential equations and develop numerical computer programming code to solve the equations.
 The underwater sensor are used to collect data for many scientific and practical reasons all the sensor collected data without specifying the sensor location and time will be missing lowers valuable information and by simulating the sensor motion numerically will have many values and impact on the underwater sensor industries as this will lead to less power consumption sensors with smaller size and less network coverage required.
 This paper will study the kinetics of the underwater sensor which will resulted to a set of non-linear time-dependent partial differential equations that can be solved analytically and computer programming simulation is developed to solve the equations and predict the motion of underwater sensor.
 Different scenarios considered in the work such as simulating the result for different sensor’s density and the effect on its final position. Also, the result will include the sensor velocity simulation and comparison with the sea current velocity.
 This work is limited to the motion prediction of single underwater sensor and the result is only for mechanical aspect of the problem, the networks connectivity or coverage is out-of-scope.
Highlights
Underwater sensors are widely used these days for many applications related to under-water world
The objective of this study is to develop an analytical model for the mobility of an underwater sensor
We used a numerical approach to solve the non-linear equations (6) to (8) and we developed a MATLAB code that simulates the location along x and y direction of a single underwater sensor with respect to time in equations (9) and (10) knowing the current velocity defined in equations (12) and (13)
Summary
Underwater sensors are widely used these days for many applications related to under-water world. The needs and usage of underwater sensors are more important every day due to the sensitivity of their usage and the applications that required underwater sensors. They are used in environmental sciences to sample and collect mainly in pollution monitoring, tsunami warning, or underwater life analysis. They are important for harbor or military surveillance [1], [2]. GPS systems are used to detect the sensor exact location and usually these systems are power consuming, and it is preferable to minimize the number of GPS location reading for power rationalization and longer sensor lifetime [2]
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