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A DISCUSSION ON THE ENERGY-CONSERVING PROPERTY OF A THREE-DIMENSIONAL WAVE EQUATION

CHI-FANG CHEN

Department of Engineering Science and Ocean Engineering, National Taiwan University, Taiwan, R.O.C.

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DING LEE

NUWC/Computer Science Department of Yale University, U.S.A.

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LI-WEN HSIEH

Department of Engineering Science and Ocean Engineering, National Taiwan University, Taiwan, R.O.C.

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, and

CHUNG-WU WANG

China College of Marine Technology and Commerce, Taiwan, R.O.C.

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https://doi.org/10.1142/S0218396X05002918Cited by:0 (Source: Crossref)

Abstract

A three-dimensional wave equation has been introduced by Lee–Schultz–Saad (LSS equation). This equation has been discretized into a difference equation. A stable numerical solution has been introduced to solve this difference equation. A computer model, FOR3D, implements this numerical solution. The FOR3D has been used for various applications in the acoustic community. It is important and of great interest to find out whether or not the LSS equation is energy-conserving. This paper will discuss fully the energy-conserving property of the LSS equation.

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