A Local Streamline Eulerian-Lagrangian Method for Two-Phase Flow
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A method for solving the saturation equation for two-phase now is presented. The method may be viewed as an operator splitting method or as an Eulerian-Lagrangian backtracking procedure or as a modi£ed method of characteristics. For each time step, the method consists of an advection step and a diffusion step. The advection step requires the tracking of streamlines locally around certain integration points. On each streamline we have to solve a nonlinear hyperbolic equation. This is done using a front tracking method. The solution from the tracking step is projected back onto a fixed grid, and we finally have to solve a parabolic heat-type equation.
In: Computational methods in water resources XIII : proceedings of the XIII International Conference on Computational Methods in Water Resources, Calgary, Alberta, Canada, 25-29 June 2000 / Laurence R Bentley (editor). pp:645-650