Abstract
Chebyshev spectral elements are applied to dissipation analysis of pore-pressure of roller compaction earth-rockfilled dams (ERD) during their construction. Nevertheless, the conventional finite element, for its excellent adaptability to complex geometrical configuration, is the most common way of spatial discretization for the pore-pressure solution of ERDs now [1]. The spectral element method, by means of the spectral isoparametric transformation, surmounts the disadvantages of disposing with complex geometry. According to the illustration of numerical examples, one can conclude that the spectral element methods have the following obvious advantages: 1) large spectral elements can be used in spectral element methods for the domains of homogeneous material; 2) in the application of large spectral elements to spatial discretization, only a few leading terms of Chebyshev interpolation polynomial are taken to arrive at the solutions of better accuracy; 3) spectral element methods have excellent convergence as well-known. Spectral method also is used to integrate the evolution equation in time to avoid the limitation of conditional stability of time-history integration
Highlights
The finite-element method (FEM) has been the main tool of choice for computational analysis of Earth-Rockfilled Dams (ERD)’s pore-pressure for a long time [2]
Layered Embankment of Compacted ERDs According to the initial condition given in Equation (20), the maximum error of the solution of Chebyshev spectral element method compares with ones by 2nd central finite difference methods which are demonstrated in Table 2 at end of a rolling layer
By numerical examples we confirmed that, due to application of large spectral element for the uniform materials, the geometrical adaptability of spectral element method is improved by spectral isoparametric transformation
Summary
The finite-element method (FEM) has been the main tool of choice for computational analysis of ERD’s pore-pressure for a long time [2]. The spectral element method (SEM) combines the high accuracy of spectral analysis with the adoptability of FEM for the complex geometrical configuration of problems. In 1984, Patera (1984) adopted spectral isoparametric transformation, which is similar to the ways in FEM, by spectral polynomials to map a typical irregular element into a standard square spectral-element (SE) This numerical philosophy has been named as spectral element method (SEM) [1]-[8]. The numerical calculation indicates that SEM does not need to pay the extra price than FEM, except for different formulation of interpolation functions
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