Accession Number:

ADA137959

Title:

Edge Waves by Boundary Collocation.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Reichel,L.
• Chapman,P.

Report Date:

1983-12-01

Pagination or Media Count:

32.0

Abstract:

The aim of this paper is to describe a computational method for determining traveling edge waves along a straight infinite beach with a cylindrical, not necessarily plan bottom. The determination of a periodic edge waves along a straight infinite beach can be formulated as a 2-dimensional eigenvalue problem for a generalized wedge. A least squares boundary collocation method for computing the lower discrete eigenvalues is described, with an error estimate for the least eigenvalue. Numerical examples are presented.

Descriptors:

• *Numerical methods and procedures
• *Computations
• *Traveling waves
• Ocean waves
• Ocean bottom
• Two dimensional
• Eigenvalues
• Least squares method
• Beaches
• Slope
• Wedges
• Perturbations

Subject Categories:

• Physical and Dynamic Oceanography
• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE