A new formulation of Signorini's type for seepage problems with free surfaces

A new variational inequality formulation for seepage problems with free surfaces is presented, in which a boundary condition of Signorini's type is prescribed over the potential seepage surfaces. This makes the singularity of seepage points eliminated and the location of seepage points determin...

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Published inInternational journal for numerical methods in engineering Vol. 64; no. 1; pp. 1 - 16
Main Authors Zheng, H., Liu, D. F., Lee, C. F., Tham, L. G.
Format Journal Article
LanguageEnglish
Published Chichester, UK John Wiley & Sons, Ltd 07.09.2005
Wiley
Subjects
Computational techniques
Exact sciences and technology
finite element
Flows through porous media
Fluid dynamics
free boundary problems
Fundamental areas of phenomenology (including applications)
Mathematical methods in physics
Nonhomogeneous flows
Physics
seepage
variational inequality
Seepage
Singularity
free boundary problems
Solid inclusion
Signorini problem
finite element
Free boundary problem
Finite element method
Porous medium flow
Variational inequality
Variational calculus
Modelling
Surface potential
Numerical stability
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Abstract A new variational inequality formulation for seepage problems with free surfaces is presented, in which a boundary condition of Signorini's type is prescribed over the potential seepage surfaces. This makes the singularity of seepage points eliminated and the location of seepage points determined easily. Compared to other variational formulations, the proposed formulation can effectively overcome the mesh dependency and significantly improve the numerical stability. A very challenging engineering example with complicated geometry and strong inhomogeneity is investigated in detail. Copyright © 2005 John Wiley & Sons, Ltd.
AbstractList A new variational inequality formulation for seepage problems with free surfaces is presented, in which a boundary condition of Signorini's type is prescribed over the potential seepage surfaces. This makes the singularity of seepage points eliminated and the location of seepage points determined easily. Compared to other variational formulations, the proposed formulation can effectively overcome the mesh dependency and significantly improve the numerical stability. A very challenging engineering example with complicated geometry and strong inhomogeneity is investigated in detail. Copyright © 2005 John Wiley & Sons, Ltd.
Author Tham, L. G.
Zheng, H.
Liu, D. F.
Lee, C. F.
Author_xml – sequence: 1
  givenname: H.
  surname: Zheng
  fullname: Zheng, H.
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– sequence: 2
  givenname: D. F.
  surname: Liu
  fullname: Liu, D. F.
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  givenname: C. F.
  surname: Lee
  fullname: Lee, C. F.
  organization: Department of Civil Engineering, The University of Hong Kong, Hong Kong, China
– sequence: 4
  givenname: L. G.
  surname: Tham
  fullname: Tham, L. G.
  organization: Department of Civil Engineering, The University of Hong Kong, Hong Kong, China
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Issue 1
Keywords Seepage
Singularity
free boundary problems
Solid inclusion
Signorini problem
finite element
Free boundary problem
Finite element method
Porous medium flow
Variational inequality
Variational calculus
Modelling
Surface potential
Numerical stability
Language English
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Wiley
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Snippet A new variational inequality formulation for seepage problems with free surfaces is presented, in which a boundary condition of Signorini's type is prescribed...
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SubjectTerms Computational techniques
Exact sciences and technology
finite element
Flows through porous media
Fluid dynamics
free boundary problems
Fundamental areas of phenomenology (including applications)
Mathematical methods in physics
Nonhomogeneous flows
Physics
seepage
variational inequality
Title A new formulation of Signorini's type for seepage problems with free surfaces
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