Free surface flow through rock-fill dams analyzed by FEM with level set approach |
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Authors: | N H Sharif N-E Wiberg M Levenstam |
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Affiliation: | (1) Department of Structural Mechanics, Chalmers University of Technology, SE-41296 Gothenburg, Sweden e-mail: nahidh@sm.chalmers.se, new@sm.chalmers.se, SE;(2) Department of Mathematics, Finite Element Center, Chalmers University of Technology, SE-41296 Gothenburg, Sweden, SE |
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Abstract: | A stabilized-finite element formulation is coupled with a level set technique for computations of incompressible non-linear
flow with interfaces between two immiscible fluids. An interface capturing formulation (ICF) for non-linear, free surface,
seepage flow in rock-fill dams is proposed. The formulation is derived for two- and three-dimensional flow within a fixed
mesh domain. The resulting formulation is general and applicable for various steady and transient two-phase flow problems.
FE-refinement is processed for the entire fixed mesh domains. A general solver is also reviewed for large and non-symmetric
non-positive definite linear system of equations with the GMRES-update technique based on a Newton-iterative method. The computational
procedure has been implemented in MATLAB. A comparison is performed between the 2-D computed test problem for coarse and refined
meshes together with some proposed analytical solutions for nonlinear seepage flow with free surface in rock-fill dams. An
expansion of the 2-D program code to a 3-D one for a rectangular rock-fill dam is also developed and simulated in MATLAB.
The performance of the computations in 3-D is very promising and its opening the future for possible industrial applications
using the same simple technique. Computations for a simple 3-D seepage flow problem with free surface in rock-fill dam are
included in present paper. A general mesh generator and solver for large scale and complex 3-D flow problems in a real embankment
dam is also under construction in C++. |
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