R. Yang et al., EXPLICIT TIME-DOMAIN TRANSMITTING BOUNDARY FOR DAM-RESERVOIR INTERACTION ANALYSIS, International journal for numerical methods in engineering, 36(11), 1993, pp. 1789-1804
An explicit time-domain transmitting boundary for the analysis of dam-
reservoir interactions is presented. This transmitting boundary is a s
emi-analytical solution of the governing wave equation of the far fiel
d of the reservoir. By using this transmitting boundary, the radiation
condition and water compressibility can readily be incorporated in th
e time-domain analysis of dam reservoir systems. Therefore, the finite
element method can be used to accurately analyse a dam-reservoir syst
em including the semi-infinite reservoir while maintaining its efficie
ncy in time-domain analysis. Numerical results have excellent agreemen
t with the available analytical solution. Results also show that the p
roposed explicit transmitting boundary is more efficient computational
ly than the implicit transmitting boundary presented by Tsai and Lee.