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Thursday, March 6 • 1:40pm - 2:00pm
Applications Session I: High order methods for reservoir flows, Beatrice Riviere, Rice University

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We propose a numerical method for solving the miscible displacement problem with discontinuous Galerkin method in space and implicit Runge-Kutta method in time. The method approximates the fluid pressure and the resident fluid concentration by polynomials of arbitrary order. Our algorithm allows us to preserve the high order approximation in both space and time while reducing the computational cost by a decoupling strategy of the pressure and concentration equations. The parallelization of the algorithm has been developed in the Dune framework. Convergence and robustness of the method is shown by several numerical examples.

avatar for Henri Calandra

Henri Calandra

Henri Calandra obtained his M.Sc. in mathematics in 1984 and a Ph.D. in mathematics in 1987 from the Universite des Pays de l’Adour in Pau, France. He joined Cray Research France in 1987 and worked on seismic applications. In 1989 he joined the applied mathematics department of... Read More →

avatar for Beatrice Riviere

Beatrice Riviere

Noah Harding Chair and Professor, Rice University

Thursday March 6, 2014 1:40pm - 2:00pm PST
BRC 284 Rice University 6500 Main Street at University, Houston, TX 77030