A correlation equation between the UV absorption wavenumbers of 1,4-disubstituted benzenes and the excited-state substituent constant was obtained. For 80 sorts of 1,4- disubstituted benzenes, the correlation coeffici...A correlation equation between the UV absorption wavenumbers of 1,4-disubstituted benzenes and the excited-state substituent constant was obtained. For 80 sorts of 1,4- disubstituted benzenes, the correlation coefficient was 0.9805, and the standard deviation was only 672.27 cm^-1. The results imply that the excited-state substituent constant can be used productively for research on UV energy of 1,4-disubstituted benzenes. The present method provides a new avenue to study the UV absorption spectra of aromatic systems with the excited-state substituent constant, and it is helpful to understand the effect of substituent electrostatic effects on the chemical and physical properties of conjugated compounds with multiple substituents in excited state.展开更多
A set of experiments is carried out in a towing tank to study the effects of the curvature of perforated plates on the wave reflection coefficient (Cr). The curvature of a perforated plate can be changed by rotating...A set of experiments is carried out in a towing tank to study the effects of the curvature of perforated plates on the wave reflection coefficient (Cr). The curvature of a perforated plate can be changed by rotating a reference perforated plate about its origin point according to the parabolic equation y=-x2 A plunger-type wave maker is used to generate regular waves. The reflection coefficients are calculated using Goda and Suzuki’s (1976) method. The results are compared with those of vertical or sloped passive wave absorbers. The comparison shows that a perforated plate with a curved profile is highly efficient in terms of reducing the wave reflection coefficient. A correlation is established to estimate the reflection coefficient of curved perforated plates as a function of both flow and geometry characteristics.展开更多
The simulation of wave phenomena in unbounded domains generally requires an artificial boundary to truncate the unbounded exterior and limit the computation to a finite region.At the artificial boundary a boundary con...The simulation of wave phenomena in unbounded domains generally requires an artificial boundary to truncate the unbounded exterior and limit the computation to a finite region.At the artificial boundary a boundary condition is then needed,which allows the propagating waves to exit the computational domain without spurious reflection.In 1977,Engquist and Majda proposed the first hierarchy of absorbing boundary conditions,which allows a systematic reduction of spurious reflection without moving the artificial boundary farther away from the scatterer.Their pioneering work,which initiated an entire research area,is reviewed here from a modern perspective.Recent developments such as high-order local conditions and their extension to multiple scattering are also presented.Finally,the accuracy of high-order local conditions is demonstrated through numerical experiments.展开更多
基金ACKNOWLEDGMENTS This work was supported by the National Natural Science Foundation of China (No.20772028 and No.20472019), the Natural Science Foundation of Hunan Province (No.06JJ2002), and the Scientific Research Fund of Hunan Provincial Education Commission.
文摘A correlation equation between the UV absorption wavenumbers of 1,4-disubstituted benzenes and the excited-state substituent constant was obtained. For 80 sorts of 1,4- disubstituted benzenes, the correlation coefficient was 0.9805, and the standard deviation was only 672.27 cm^-1. The results imply that the excited-state substituent constant can be used productively for research on UV energy of 1,4-disubstituted benzenes. The present method provides a new avenue to study the UV absorption spectra of aromatic systems with the excited-state substituent constant, and it is helpful to understand the effect of substituent electrostatic effects on the chemical and physical properties of conjugated compounds with multiple substituents in excited state.
文摘A set of experiments is carried out in a towing tank to study the effects of the curvature of perforated plates on the wave reflection coefficient (Cr). The curvature of a perforated plate can be changed by rotating a reference perforated plate about its origin point according to the parabolic equation y=-x2 A plunger-type wave maker is used to generate regular waves. The reflection coefficients are calculated using Goda and Suzuki’s (1976) method. The results are compared with those of vertical or sloped passive wave absorbers. The comparison shows that a perforated plate with a curved profile is highly efficient in terms of reducing the wave reflection coefficient. A correlation is established to estimate the reflection coefficient of curved perforated plates as a function of both flow and geometry characteristics.
文摘The simulation of wave phenomena in unbounded domains generally requires an artificial boundary to truncate the unbounded exterior and limit the computation to a finite region.At the artificial boundary a boundary condition is then needed,which allows the propagating waves to exit the computational domain without spurious reflection.In 1977,Engquist and Majda proposed the first hierarchy of absorbing boundary conditions,which allows a systematic reduction of spurious reflection without moving the artificial boundary farther away from the scatterer.Their pioneering work,which initiated an entire research area,is reviewed here from a modern perspective.Recent developments such as high-order local conditions and their extension to multiple scattering are also presented.Finally,the accuracy of high-order local conditions is demonstrated through numerical experiments.