4pUW10. Energy-conserving spectral solutions.

Session: Thursday Afternoon, June 19

Author: Michael D. Collins
Location: Naval Res. Lab., Washington, DC 20375, collins@ram.nrl.navy.mil
Author: Henrik Schmidt
Location: MIT, Cambridge, MA 02139
Author: William L. Siegmann
Location: Rensselaer Polytechnic Inst., Troy, NY 12180


Energy conservation is an important issue in range-dependent propagation modeling. Energy-conserving coupled mode and parabolic equation solutions have been developed [J. Acoust. Soc. Am. 89, 1058--1075 (1991)]. This presentation will describe an energy-conserving solution based on the wave-number spectrum. Range dependence is handled by dividing the medium into a sequence of range-independent regions and enforcing the complete energy-conservation condition [J. Acoust. Soc. Am. 94, 975--982 (1993)] at the vertical interfaces between regions. This condition involves the square root of the horizontal wave number in the forcing function of the spectral equation and in the spectral integral. This approach has been implemented and tested for both fluid and elastic media. [Work supported by ONR.]

ASA 133rd meeting - Penn State, June 1997