Cell-Centered Finite Difference Method for the One-Dimensional Forchheimer Laws
2017
Cell-centered finite difference method is introduced to solve the one-dimensional Forchheimer laws modeling incompressible fluids in porous media. Using this method, velocity and pressure can be approximated at the same time. Second-order accuracy error estimates for velocity and pressure are established. Numerical experiments are carried out to validate the convergence rates and show the efficiency.
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