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Executive Summary Within this milestone, we are analyzing trash accumulation in the Atlantic Ocean by interpreting fluid motion in the ocean using different mechanics to calculate it. Studying these data is essential as studying waste disposal can get information about garbage and its longevity within ocean surface currents and potential for damage. They can study different products that do not break down after years in water and learn how ocean surface currents cause this build up of trash within the oceans affecting wildlife and ecosystems of the various species. The purpose of my study is to analyze ocean surface currents and calculate trash accumulation within the atlantic ocean based on these ocean surface currents data. Some of the mathematical techniques utilized within this study are partial derivatives (vector calculus operators), curl, divergence, scalar and vector fields. These were needed in order to understand and calculate fluid motion, flux, and the fields in which the ocean surface currents were moving according to the data we used to calculate trash accumulation within these ocean surface currents in the Atlantic Ocean. Divergence refers to the change in fluid motion based on a vector field, where if the divergence value is less than 0, it is a sink in the fluid. Negative divergence at a point means trash would accumulate inward because nothing would flow away from that point indicating that trash would build up there, hence the most probable location of trash accumulation in the Atlantic Ocean are areas of negative curl, negative divergence and lower velocity. Just as we learned in physics about electric flux, the divergence of a flux in ocean surface currents results in the accumulation of trash, whereas if the divergence is negative, it is the loss of trash. Areas of lower velocity indicate that the currents are not strong enough to push trash away from each other causing more trash to accumulate. Within the ocean surface currents, only negative curl results in vortexes which is where the water becomes a sinkhole causing the trash to circulate in the water currents, whereas positive curl only circulates the trash. Hence, in order to determine areas of probable trash accumulation, we must seek areas that have negative curl, negative divergence, and lower velocity. In terms of the precision of my data and analysis, my calculations were accurate and of great quality as the calculations were clear and the trash accumulation for the area of interest had the greatest influence. It is good to refer to the characteristics of my data because it greatly compared to my intuition for the predicted location of the GAGP. The assumptions I made for the GAGP were considering areas of great trash build-up from currents of lower velocity and negative divergence and curl arguing the rotations of the water. My intuition can be reasonably compared to the characteristics of my data proving the accuracy of my data source and analysis techniques as I used these physical properties to analyze and calculate these values about the currents. One improvement to improve the accuracy and meaningfulness of my study is to incorporate smaller values of contour to find more accurate current values than the values I calculated. Fig. 1 The figure shows the entire Atlantic Ocean with a shape outline that sketches the predicted location of the GAGP, i.e area of trash for accumulation in the ocean surface currents. View shows contour plot with axes label illustrating location of trash build-up and land boundaries. The plot has a color bar which indicates the surface current speed. Fig 2. Entire Atlantic Ocean view that shows ocean surface currents on the date of data given March 18, 2018. View shows a contour plot with land boundaries and the direction of the ocean surface currents. The plot has a color bar which indicates the surface current speed. Fig 3. The plot of the zoomed view of the area of interest’s current curl with the velocity vectors laid on top. The quiver arrows indicate that the area of interest has a negative curl. Fig 4. The plot of the zoomed view of the area of interest’s current’s divergence with the velocity vectors laid on top. The quiver arrows indicate that the area of interest has a negative divergence. The plot has a color bar which indicates the surface current speed. Fig 5. The plot of the zoomed view of the area of interest’s current’s speed with the velocity vectors laid on top. The quiver arrows indicate that the area of interest has a negative divergence. A zoomed out version was utilized in order to maximize the ocean surface currents speed into the area of interest and the area of interest’s velocity as the currents were barely visible. The plot has a color bar which indicates the surface current speed.
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Analyzing trash accumulation in the Atlantic Ocean in MATLAB.
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