Calculation of the Odd and Even Integral Components of the Wave Resistance Green's Function
Abstract
This report presents a computerized method for calculating the total Green's function for the wave resistance case of a source in steady translation below the free surface. Starting with a representation of this function in the complex plane given by Bessho a series of transformations of variables are used to reduce it to three real single integrals. The integrands are regular and are entirely in terms of elementary functions. Two of the integrals are even about x=0 while the remaining integral is odd. The even and odd integrals may also be conveniently expressed in terms of the near and far field components. The method is robust, except for the well known difficulties at the limiting cases when the source is located near the free surface, or the field point is close to the source. A computer code has been written to implement the above method. Sample calculated results are given in several forms to illustrate usage, accuracy, and computer time requirements of the code, as well as to show the relative behavior of the component integrals. Keywords: Wave resistance; Ship hulls; Wave resistance Green's function; Odd and even components; Real single integrals; Computer code; Robust method.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 05, 1989
- Accession Number
- ADA212384
Entities
People
- Henry T. Wang
- Joel C. Rogers
Organizations
- United States Naval Research Laboratory