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31.
32.
超声催化反应的研究现状和发展趋势 总被引:25,自引:0,他引:25
综述了近几十年来超声在催化反应领域中的研究成果,包括超声在均相和多相催化反应中的应用,探讨了超声在催化反应领域中的发展趋势。 相似文献
33.
ZhuJianxin 《高校应用数学学报(英文版)》2000,15(4):443-452
In this paper, a local orthogonal transformation is created to transform the Helmholtz waveguide with curved interface to the one with a flat interface within the two-layer medium, and the Helmholtz equation uxx uzz k^2(x,z)u=0 is transformed to Vxx αVzz βVz γV=0. Numerical results demonstrate that the transformation is more feasible. This transformation is particularly useful for the research on wave propagation in acoustic waveguide. 相似文献
34.
The acoustic wave equation is here discretized by conforming spectral elements in space and by the second order leap-frog
method in time. For simplicity, homogeneous boundary conditions are considered. A stability analysis of the resulting method
is presented, providing an upper bound for the allowed time step that is proportional to the size of the elements and inversely
proportional to the square of their polynomial degree. A convergence analysis is also presented, showing that the convergence
error decreases when the time step or the size of the elements decrease or when the polynomial degree increases. Several numerical
results illustrating these results are presented.
Mathematics subject classifications (2000) 65M06, 65M70, 65M12
This work was supported by MIUR (PRIN 2001 “Metodi numerici avanzati per equazioni alle derivate parziali di interesse applicativo”). 相似文献
35.
V. G. Aleksandrov A. A. Osipov 《Computational Mathematics and Mathematical Physics》2006,46(6):1061-1072
A method for the calculation of unsteady aerodynamic interaction of two plane airfoil cascades that are in relative motion in a subsonic flow of ideal gas is developed. This interaction provides a two-dimensional approximation of the flow in a stage of an axial turbomachine. The method is based on the reduction of the problem to the calculation of the unsteady flow in a single interblade passage of each of the cascades. The calculation uses generalized space-time periodicity relations corresponding to the unsteady process of interest. The calculation is based on the direct numerical integration of the non-stationary gas dynamics equations with the use of the finite difference Godunov-Kolgan-Rodionov scheme of the second approximation order with respect to time and space. The calculation procedure includes the determination of the acoustic fields that are generated by the stage in the incident flow and in the flow behind it. The results of the calculations that illustrate the accuracy of the numerical solution and the capabilities of the method are presented. 相似文献
36.
研究Kac方程的初值问题.证明了该类方程存在唯一的全局分布解.并且使用一种新的线性化方法证明了该类方程的解具有相应的多项式衰减性. 相似文献
37.
It is proved that a sound-soft scatterer in R^N (N = 2, 3) is uniquely determined by a finite number of acoustic far-field measurements. The admissible scatterer possibly consists of finitely many solid obstacles and subsets of (N - 1)- dimensional hyperplanes. 相似文献
38.
Analysis of a finite PML approximation for the three dimensional time-harmonic Maxwell and acoustic scattering problems 总被引:1,自引:0,他引:1
We consider the approximation of the frequency domain three-dimensional Maxwell scattering problem using a truncated domain perfectly matched layer (PML). We also treat the time-harmonic PML approximation to the acoustic scattering problem. Following work of Lassas and Somersalo in 1998, a transitional layer based on spherical geometry is defined, which results in a constant coefficient problem outside the transition. A truncated (computational) domain is then defined, which covers the transition region. The truncated domain need only have a minimally smooth outer boundary (e.g., Lipschitz continuous). We consider the truncated PML problem which results when a perfectly conducting boundary condition is imposed on the outer boundary of the truncated domain. The existence and uniqueness of solutions to the truncated PML problem will be shown provided that the truncated domain is sufficiently large, e.g., contains a sphere of radius . We also show exponential (in the parameter ) convergence of the truncated PML solution to the solution of the original scattering problem inside the transition layer.
Our results are important in that they are the first to show that the truncated PML problem can be posed on a domain with nonsmooth outer boundary. This allows the use of approximation based on polygonal meshes. In addition, even though the transition coefficients depend on spherical geometry, they can be made arbitrarily smooth and hence the resulting problems are amenable to numerical quadrature. Approximation schemes based on our analysis are the focus of future research.
39.
D. V. Zakharov 《Theoretical and Mathematical Physics》2007,153(1):1388-1397
We consider the problem of describing the possible spectra of an acoustic operator with a periodic finite-gap density. On
the moduli space of algebraic Riemann surfaces, we construct flows that preserve the periods of the corresponding operator.
By a suitable extension of the phase space, these equations can be written with quadratic irrationalities.
__________
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 153, No. 1, pp. 46–57, October, 2007. 相似文献
40.
1.引言声波反散射理论在二十世纪的数学物理领域占有重要的地位,在这方面已有大量的研究工作,而对声波反散射理论的研究,大量的研究才是近十多年的事>51.由于声波反散射理论在雷达、声纳及地球物理勘探等领域的迫切需要,对反散射理论及计算方法的研究有着广泛的应用前景.本文研究时间调和声波的反散射问题,利用散射波的远场模式(farfieldPattern)反演边界条件中的阻尼系数.考虑在均匀介质中传播的声波,此声波碰到一个无限长的柱体.设柱体的截面DCRZ,母线平行于。轴,设人射波为平面波。如)二exphkx·叫,其中k为波数,a为… 相似文献