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Numerical Analysis of 1D Seepage Failure Process of Sandy Materials by CWENO Method

  • Kosuke Tsujimura
  • Kazunori FujisawaEmail author
  • Akira Murakami
Conference paper
  • 1.5k Downloads
Part of the Springer Series in Geomechanics and Geoengineering book series (SSGG)

Abstract

This paper proposes a numerical method to simulate the seepage failure of sandy materials, known as sand boils or quicksand. The sand is largely deformed and the particles rapidly migrate with the seepage water after the seepage failure. In order to deal with the large deformation and the migration of the sand particles, an Eulerian formulation is applied to the governing equations, i.e., the equations for the conservation of mass and momentum of seepage water and sand, which yields a system of hyperbolic partial differential equations. To achieve stable and accurate numerical solutions for the hyperbolic system, the Central Weighted Essentially Non-Oscillatory (CWENO) method is employed herein. The numerical simulation of the 1D seepage failure of sand, induced by an upward seepage flow, is conducted and the computation is compared with analytical solutions. The results show that the proposed method can reproduce the behavior of sand particles and seepage water during seepage failure.

Keywords

Water Pressure Effective Stress Hyperbolic System Sand Particle Quadrature Rule 
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References

  1. Levy D, Puppo G, Russo G (2002) A fourth-order central WENO scheme for multidimentional hyperbolic systems of conservation laws. SIAM J Sci Comput 24(2):480–506CrossRefMathSciNetzbMATHGoogle Scholar
  2. Levy D, Puppo G, Russo G (1999) Central WENO schemes for hyperbolic systems of conservation laws. Math Model Numer Anal 33(3):547–571CrossRefMathSciNetzbMATHGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Kosuke Tsujimura
    • 1
  • Kazunori Fujisawa
    • 1
    Email author
  • Akira Murakami
    • 1
  1. 1.Graduate School of AgricultureKyoto UniversityKyotoJapan

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