Ocean Acoustic Propagation by Finite Difference Methods - download pdf or read online

By D. Lee, S. T. McDaniel

A concise advisor to the idea and alertness of numerical equipment for predicting ocean acoustic propagation, additionally offering an advent to numerical equipment, with an summary of these tools shortly in use. An in-depth improvement of the implicit-finite-difference method is gifted including bench-mark attempt examples integrated to illustrate its software to reasonable ocean environments. different purposes contain atmospheric acoustics, plasma physics, quantum mechanics, optics and seismology

Show description

Read or Download Ocean Acoustic Propagation by Finite Difference Methods PDF

Best geophysics books

Download e-book for kindle: Explorations in Basic Biology, 12th Edition by Stanley E Gunstream

Explorations in uncomplicated Biology is a self-contained laboratory guide designed for one- or two-semester introductory biology classes for non-biology and combined biology majors. The routines are acceptable for three-hour laboratory classes, yet also are adaptable to a two-hour laboratory structure.   perfect for college students with little hands-on technological know-how laboratory adventure, this student-friendly textual content offers transparent history info and instructions for accomplishing laboratory actions.

Modeling, Learning, and Processing of Text Technological by Alexander Mehler, Kai-Uwe Kühnberger, Visit Amazon's Henning PDF

Researchers in lots of disciplines were fascinated with modeling textual info in an effort to account for texts because the basic info unit of written conversation. The e-book “Modelling, studying and Processing of Text-Technological facts buildings” offers with this tough details unit. It makes a speciality of theoretical foundations of representing traditional language texts in addition to on concrete operations of computerized textual content processing.

Keiiti Aki, Renata Dmowska's Relating Geophysical Structures and Processes: The Jeffreys PDF

In regards to the ProductPublished through the yank Geophysical Union as a part of the Geophysical Monograph sequence. content material:

Extra info for Ocean Acoustic Propagation by Finite Difference Methods

Example text

Recalling that the standard PE takes the form, / , i "r = 2 ko(* (r, z) - l)w + — uzz. 2) at r =r0 + Ar assumes that the solution takes the form f'o + Ar Γ w(r,z) = exp / f'0 + ΔΓ A(r,z)dr+i Π B(z)dr \u(r0,z). 5) requires that the commutator [(A + B\ \(A + B) d r l = 0. 6) In general, this commutator will identically vanish only if A(r9 z) is independent of z. This case is of trivial importance for oceanic acoustic propagation. 6) restricts the 361 D. LEE and S. T. 5) to environments in which A is sufficiently slowly varying with depth that the error incurred is negligible.

LEE and S. T. 16) hold for an interface of arbitrary slope. 2. Mathematical formulation of the wave field on the interface To formulate finite difference equations for the wave field on the interface, we will use a mesh having a uniform partition in the z direction with Az = h. The range is partitioned in increments Ar = k, as is shown in Fig. 7. At each mesh point, superscripts are used to indicate the range level; subscripts indicate the depth level. The wave field at the point (nk, mh) is written as unm which also denotes the field on the interface.

Below, we will show how special handling of the bottom boundary condition plus a pressure release surface allow the nonzero bottom component to be incorporated into the A matrix thus making g(k0, r, z, u) totally independent of u. This allows the use of a large step size. 20) h<\. 20). This treatment does not necessarily require using implicit methods. Carrying out the application for low accuracy requirements, the following formula is used, in which the order k is chosen to be 1, and the method is chosen to be explicit.

Download PDF sample

Rated 4.64 of 5 – based on 29 votes