State-Space Solution of Estuary Bed Responses Subjected to Extreme Hydrodynamic Conditions. II: Storm Surge
Storm surge is an abnormal rise of water generated by a storm, over and above the predicted astronomical tides. The solitary wave theory can be considered good representations of tsunami, storm surge and nonlinear shallow water waves. Based on the same theoretical formulation mentioned in the Part I, we derive the analytical solutions for dynamic responses of an estuary bed to solitary wave excitation are studied by state-space method. State-space method together with Laplace-Fourier transform techniques are used to solve the governing equations. The solitary wave-induced response of estuary bed can be calculated by using the matrix theory, boundary conditions and inverting integral transform. Compared with the special solution in preceding literatures, it’s shown that the proposed method has the advantage of high calculation efficiency and accuracy.
Hui Li, Yan Feng Liu, Ming Guo, Rui Zhang and Jing Du
D. Z. Pan et al., "State-Space Solution of Estuary Bed Responses Subjected to Extreme Hydrodynamic Conditions. II: Storm Surge", Advanced Materials Research, Vols. 374-377, pp. 2529-2532, 2012