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 COMPUTATIONAL OCEAN ACOUSTICS 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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4 COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 7 Local Coefficient Matrix Wavenumber Coefficient Matrix Exponential Matrix (diagonal) Discontinuity Cancellation
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5 COMPUTATIONAL OCEAN ACOUSTICS 13.853 Lecture 7 Topology Matrices
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This note was uploaded on 02/24/2012 for the course MECHANICAL 2.068 taught by Professor Henrikschmidt during the Spring '03 term at MIT.

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lect_72 - Computational Ocean Acoustics Ray Tracing...

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