The proposed approach combines the advantages of isogeometric analysis (IGA) and scaled boundary finite element method (SBFEM). The IGA is employed for idealization of the dam structure, while SBIGA is developed for modeling the semi-infinite fluid domain of reservoir and unbounded elastic half-space of the dam foundation. Water compressibility, reservoir boundary wave absorption can be taken i...

Abstract The scaled boundary finite element method (SBFEM) is a relatively recent that allows the approximation of solutions to partial differential equations (PDEs) without need fundamental solution. A theoretical framework for convergence analysis SBFEM proposed here. This achieved by defining space semi-discrete functions and constructing an interpolation operator onto this space. We prove e...

This paper proposes and validates a new formulation on the dynamic response of dam-reservoir system, including water compressibility, absorption of the boundary of the reservoir, the earthquake excitation from different directions and the radiation condition boundary at infinity. The impounded water is modeled by Scaled Boundary Finite Element Method, and discretization only at the boundary coi...

We derive and implement boundary integral methods for axisymmetric liquid bridge problems in the presence of an axial electric field. The liquid bridge is bounded by solid parallel electrodes placed perpendicular to the axis of symmetry and held at a constant potential difference. The fluid is assumed to be nonconducting and has permittivity different from that of the passive surrounding medium...