Probability Density Function of Underwater Bomb Trajectory Deviation due to Stochastic Ocean Surface Slope
NAVAL POSTGRADUATE SCHOOL MONTEREY CA NAVAL OCEAN ANALYSIS AND PREDICTION LAB
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Ocean wave propagation causes random change of ocean surface slope and in turn affects the underwater bomb trajectory deviation r through water column. This trajectory deviation is crucial for the clearance of obstacles such as sea mines or maritime improvised explosive device IED in coastal oceans using bombs. A nonlinear six degrees of freedom 6-DOF model has been recently developed and verified at the Naval Postgraduate School with various surface impact speeds and surface slopes as model inputs. The surface slope s randomly changes between 0 and pi2 with a probability density function PDF ps, or called the s-PDF. After s is discretized into I intervals by s1, s2,..., si,... sI1, the 6-DOF model is integrated with a given surface impact speed v0 and each slope si to get bomb trajectory deviation ri at depth h as a model output. The calculated series of ri is re-arranged into monotonically increasing order rj. The bomb trajectory deviation r within rj, rj1 may correspond to one interval or several intervals of s. The probability of r falling into rj, rj1 can be obtained from the probability of s, and in turn the PDF of r, or called the r-PDF. Change of the r-PDF versus features of the s-PDF, water depth, and surface impact speed is also investigated.
- Physical and Dynamic Oceanography