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Finite Element Approach for SEEPAGE Problem

Finite Element Approach for SEEPAGE Problem. Arash Khosravifar (Presentation of 281a Term Project) 6 December 2006 University of California, Davis. Contents: Formulation 2-D Example. The FEM is a numerical approach that solves a general differential equations in an approximate manner.

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Finite Element Approach for SEEPAGE Problem

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  1. Finite Element Approachfor SEEPAGE Problem Arash Khosravifar (Presentation of 281a Term Project) 6 December 2006 University of California, Davis

  2. Contents: • Formulation • 2-D Example

  3. The FEM is a numerical approach that solves a general differential equations in an approximate manner. • FE solution matches the Exact solution at nodal points. Steps: 1- Strong form differential equation 2- Weak form 3- Solving the weak form

  4. (1-D) (1-D) Strong Form for 2-D: Weak Form for 2-D:

  5. K total Boundary conditions Supply • Constitutive Matrix • Orthoropic • Isotropic

  6. Triangular Linear Shape functions

  7. Impermeable (q=0) 2 4 6 8 10 12 14 1 3 5 7 9 11 H=0 H=10 2 4 6 8 10 12 1 3 5 7 9 11 13 Impermeable (q=0)

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