Application of PML to Analysis of Dam-Reservoir-Foundation System with Cavitation Using Mixed Formulation

Abstract:

Convolution PML is known to have excellent wave absorbing capability, and has been used combined with FDM and FEM. Most of them are splitting type formulation for explicit FEM or FDM. Here implicit non-splitting type convolution PML procedures consistent with mixed formulation FEM as well as displacement based FEM are developed. The resulting coefficient matrices for convolution PML are symmetric if corresponding coefficient matrices of FEM are symmetric. The developed method is applied to dam-reservoir-foundation systems including reservoir cavitation, and the validity of the method is demonstrated.

• Periodical: Applied Mechanics and Materials (Volumes 256-259)
• Pages: 427-440
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.256-259.427
• Online since: December 2012
• Authors: Pahaiti Leheman, Hiroo Shiojiri, Kunihiko Uno
• Keywords: Cavitation, Convolution PML, Dam-Reservoir-Foundation Interaction, Mixed Formulation

References

[1] J.P. Wolf, Soil-Structure-Interaction Analysis in time Domain, Prentice-Hall, Engelwood Cliffs, (1988).

[2] J.P. Wolf,　The Scaled Boundary Finite Element Method, Jhon Wiley & Sons Ltd. England, (2003).

[3] P. Berenger , A Perfectly Matched Layer for the Absorption of Electromagnetic Waves, J. Comp. Phys. 114(1994) 185-200.

DOI: 10.1006/jcph.1994.1159

[4] F. Collino, and C. Tsogka, Application of the perfectly matched absorbing layer to the linear elastodynamic problem in anisotropic heterogeneous media, Geophysics, 66(2001) 294-307.

DOI: 10.1190/1.1444908

[5] F.H. Drossaert, and.A. Giannopoulis, Complex frequency shifted convolution PMl for FTDT modeling of elastic waves, Wave Motion , 44(2007) 593-604.

DOI: 10.1016/j.wavemoti.2007.03.003

[6] U. Basu and A.K. Chopra, Perfectly Matched layers transient elastodynamics of unbounded domains, Int. J. numer. methods eng., 59(2004) 1039-1074.

DOI: 10.1002/nme.896

[7] U. Basu and A.K. Chopra: Perfectly matched layers for time-harmonic elastodynamics of unbounded domains: theory and finite-element implementation, Computer. Meth. Appl. Mech. and Eng., 192(2003) 1337-1375.

DOI: 10.1016/s0045-7825(02)00642-4

[8] H. Shiojiri, P. Leheman and J.F. Li, Application of PML for Non-Linear Soil-Structure Problem,. Proc. 14ECEE, Ohrid(2010) 1-8CD.

[9] P. Leheman,H. SHIOJIRI and J.F. LI, Analytical Method for Nonlinear Soil-Structure Interaction using PML, Proc. Eurodyne, Leuven, Belgium(2011) 1-6CD.

[10] A.V. Oskouei and A.A. Dumanoglu, Nonlinear dynamic response of concrete gravity dams, Soil Dyn. Earthquake Eng. 21(2001) 99-112.

DOI: 10.1016/s0267-7261(00)00103-2

[11] G. Fenves, and L.M. Vagas-loi: Nonlinear dynamic analysis of fluid-structure system, J. Eng. Mech., ASCE(1986) 281-295.