An Evaluation of Linearly Implicit Time Discretization Methods For Approximating Richards' Equation
Eleanor Jenkins, Cass Miller, Matthew Farthing, Christopher Kees & Matthew Farthing
The solution of Richards' equation and two-phase air/water models for
flow in porous media continues to be a challenge for many problems of
interest. Typically, fully implicit time discretizations are preferred due
to the strong, potentially degenerate nonlinearities that result from
standard constitutive relationships. Recently however, there has been
renewed interest in linearly implicit methods, since they avoid the solution
of full nonlinear problems, while retaining desirable stability properties
over explicit discretizations. In this work,...
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