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A simplified two-dimensional boundary element method with arbitrary uniform mean flow 被引量:2
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作者 Bassem Barhoumi Safa Ben Hamouda Jamel Bessrour 《Theoretical & Applied Mechanics Letters》 CAS CSCD 2017年第4期207-221,共15页
To reduce computational costs, an improved form of the frequency domain boundary element method(BEM) is proposed for two-dimensional radiation and propagation acoustic problems in a subsonic uniform flow with arbitr... To reduce computational costs, an improved form of the frequency domain boundary element method(BEM) is proposed for two-dimensional radiation and propagation acoustic problems in a subsonic uniform flow with arbitrary orientation. The boundary integral equation(BIE) representation solves the two-dimensional convected Helmholtz equation(CHE) and its fundamental solution, which must satisfy a new Sommerfeld radiation condition(SRC) in the physical space. In order to facilitate conventional formulations, the variables of the advanced form are expressed only in terms of the acoustic pressure as well as its normal and tangential derivatives, and their multiplication operators are based on the convected Green's kernel and its modified derivative. The proposed approach significantly reduces the CPU times of classical computational codes for modeling acoustic domains with arbitrary mean flow. It is validated by a comparison with the analytical solutions for the sound radiation problems of monopole,dipole and quadrupole sources in the presence of a subsonic uniform flow with arbitrary orientation. 展开更多
关键词 Two-dimensional convected Helmholtz equation Two-dimensional convected Green’s function Two-dimensional convected boundary element method Arbitrary uniform mean flow Two-dimensional acoustic sources
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