Energy Technology Data Exchange (ETDEWEB)

Formulation is introduced for discretizing a boundary integral equation into an indirect boundary element method for the solution of 3-dimensional topographic problems. Yokoi and Takenaka propose an analytical solution-capable reference solution (solution for the half space elastic body with flat free surface) to problems of topographic response to seismic motion in a 2-dimensional in-plane field. That is to say, they propose a boundary integral equation capable of effectively suppressing the non-physical waves that emerge in the result of computation in the wake of the truncation of the discretized ground surface making use of the wave field in a semi-infinite elastic body with flat free surface. They apply the proposed boundary integral equation discretized into the indirect boundary element method to solve some examples, and succeed in proving its validity. In this report, the equation is expanded to deal with 3-dimensional topographic problems. A problem of a P-wave vertically ...

Energy Technology Data Exchange (ETDEWEB)

Stable and accurate numerical analytical method even at high Rayleigh numbers is desired, and in addition flexibility and economical efficiency are very important for numerical analysis. Unsteady flows of natural convention in a square cavity are investigated using the GSMAC (generalized and simplified marker and cell) finite-element method at high Rayleigh numbers from 10 {sup 6} to 10 {sup 8}. Validities of the multi-pass algorithm and BTD (balancing tensor diffusivity), which are highly accurate solutions for finite-element method, are investigated by introducing them to the GSMAC finite-element method. As the result, it was found that the multi-pass algorithm has little effect for the GSMAC finite-element method. The steady solutions at the Rayleigh numbers of 10 {sup 5} and 10 {sup 7} agreed well with the bench mark solutions and numerical solutions. Complex transient phenomena at Rayleigh numbers higher than 10 {sup 7} are successfully observed. 12 refs., 11 figs., 4 tabs.