期刊
SIAM JOURNAL ON SCIENTIFIC COMPUTING
卷 32, 期 4, 页码 2255-2273出版社
SIAM PUBLICATIONS
DOI: 10.1137/100786320
关键词
Richards' equation; variably saturated flow; finite volume; mildly nonlinear systems; Jordan decomposition; nested iterations
A finite volume discretization of the mixed form of Richards' equation leads to a nonlinear numerical model which yields exact local and global mass conservation. The resulting nonlinear system requires sophisticated numerical strategies, especially in a variable saturated flow regime. In this paper a nested, Newton-type algorithm for the discretized Richards' equation is proposed and analyzed. With a judicious choice of the initial guess, the quadratic convergence rate is obtained for any time step size and for all flow regimes.
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