Stochastic Acoustic Ray Tracing with Dynamically Orthogonal Equations
Abstract
Developing accurate and computationally efficient models for ocean acoustics is inherently challenging due to several factors including the complex physical processes and the need to provide results on a large range of scales. Furthermore, the ocean itself is an inherently dynamic environment within the multiple scales. Even if we could measure the exact properties at a specific instant, the ocean will continue to change in the smallest temporal scales, ever increasing the uncertainty in the ocean prediction. In this work, we explore ocean acoustic prediction from the basics of the wave equation and its derivation. We then explain the deterministic implementations of the Parabolic Equation, Ray Theory, and Level Sets methods for ocean acoustic computation. We investigate methods for evolving stochastic fields using direct Monte Carlo, Empirical Orthogonal Functions, and adaptive Dynamically Orthogonal (DO) differential equations.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 15, 2020
- Accession Number
- AD1115157
Entities
People
- Michael J. Humara
Organizations
- Massachusetts Institute of Technology
- Woods Hole Oceanographic Institution