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lect_72 - Computational Ocean Acoustics Ray Tracing...

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1 COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 7 Computational Ocean Acoustics Ray Tracing Wavenumber Integration Normal Modes Parabolic Equation
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2 COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 7 Wavenumber Integration Range-independent – Integral Transform solution Exact depth-dependent solution Global Matrix Approach Propagator Matrix Approach Invariant Embedding Numerical issues: Numerical stability of depth solution Evaluation of inverse transforms
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3 13.853 Lecture 7 Elastic Ice Cover Fluid Water Column Fluid Sediment Layer Elastic Sediment Layer Elastic Halfspace Boundary Conditions Wavefield Unknowns Vacuum 0 4 2 2 4 2 2 3 2 3 4 14 unknowns 14 equations Global Equations and Unknowns
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13.853 Local Coefficient Matrix Wavenumber Coefficient Matrix Exponential Matrix (diagonal) Discontinuity Cancellation
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5 13.853 Lecture 7 Topology Matrices
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6 COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 7 column no. c row no. r Global coefficient matrix [C] X X X X X X X X X X X X X X X X
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