June 22-27, 2014
Reviews and comparisons of the finite-difference, differential-quadrature, differential-cubature, finite-analytic, and practical-finite-analytic methods are presented. Numerical solution of immiscible fluids transport in porous media are illustrated. The cubature and practical finite-analytic methods are shown to have apparent advantages over the other methods because the numerical solution schemes are derived directly from the specific problems of interest.
Faruk Civan, "Performance comparison of the finite-difference, practical-finite-analytic, differential-quadrature, and differential-cubature methods for solving porous media immiscible fluids transport" in "5th International Conference on Porous Media and Their Applications in Science, Engineering and Industry", Prof. Kambiz Vafai, University of California, Riverside; Prof. Adrian Bejan, Duke University; Prof. Akira Nakayama, Shizuoka University; Prof. Oronzio Manca, Seconda Università degli Studi Napoli Eds, ECI Symposium Series, (2014). http://dc.engconfintl.org/porous_media_V/32