PSEUDOSPECTRAL METHOD FOR SEEPAGE BEHIND EARTH RETAINING WALL

摘要

A higher precision numerical method, spectral method, for seepage behind earth retaining wall is put forward. For most cases, Finite element usually is adopted by its excellent flexibility, but finite element consumes greater times to improve algorithm precision whether h-refinement or p- refinement. Spectral methods generate algebraic equations with full matrices, but in compensation, the high order of the basis functions gives high accuracy for a given N. A model of transient two-dimension seepage problem in earth retaining wall is first established. The water-head function is asymptotic expands by Chebyshev series up to N orders. In interested spatial domain, we get discreted equations at different collocation points, viz. pseudo-spectral methods being used in this problem. It is convenient to integrate the ODE's in time through modified Euler finite difference formula. The predicted results are in excellent agreement with the analytical solutions.