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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… Click to show full abstract
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.
Keywords:
dimensional forchheimer;
one dimensional;
cell centered;
finite difference;
centered finite;
difference method
Journal Title: Bulletin of the Malaysian Mathematical Sciences Society
Year Published: 2017
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Journal Title: Bulletin of the Malaysian Mathematical Sciences Society
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!