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二阶散射波的渐近解、辐射条件与能量特性
ASYMPTOTIC EXPANSION, RADIATION CONDITION AND ENERGY CHARACTERS OF SECOND-ORDER SCATTERING WAVE
【摘要】 设入射波为Stokcs二阶波,通过对二阶远场散射问题的研究,得出了二阶散射波渐近解的一般形式,推导出了二阶散射波辐射条件的数学表达式.证明了二阶散射波的能量有两个来源:其一为二阶入射波,其二为一阶流场.对应于不同来源的两个二阶散射波向外的能流在r方向的变化率以不同的量级衰减.
【Abstract】 In this paper, it is assumed that the incident wave is the 2nd-order Stokes wave. The asymptotic expansion and radiation condition of the 2nd-order scattering wave induced by the structure are developed by studying the 2nd -order scattering problem in the far field. It is demonstrated that the energy of the 2nd-order scattering wave is due to the 2nd-order incident wave and the Ist-order fluid field. The outward energy fluxes of the two 2nd-order scatterring waves corresponding to the different sources decay on the different orders.
【关键词】 二阶散射波;
渐近解;
辐射条件;
能流;
能量特性;
【Key words】 second-order scattering wave; asymptotic expansion; radiation condition; energy flux; energy characters;
【Key words】 second-order scattering wave; asymptotic expansion; radiation condition; energy flux; energy characters;
- 【文献出处】 力学学报 ,Acta Mechanica Sinica , 编辑部邮箱 ,1989年01期
- 【被引频次】1
- 【下载频次】38