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STATIONARY LEVEL SET METHOD FOR MODELLING SHARP INTERFACES IN GROUNDWATER FLOW

We present a new numerical procedure for modelling steady motion of interfaces in groundwater flow. A modified version of the level set method utilizing a technique from the method of vanishing viscosity is developed and solved together with the time independent Navier-Stokes equation. Simulation for steady non-linear seepage flow through porous media is performed. The discretized-coupled system is solved over a fixed mesh domain. The resulted numerical scheme allows tackling the front motion faster and simply with less computation efforts. The Streamline/Upwind technique is used to stabilize the solved-coupled system of FE-equations over unstructured 2D and 3D FE-meshes. Examples on the application of the technique for evolving sharp interface under a steady state of seepage flow in embankment dam are investigated.