Solution of water-table and anisotropic flow problems by using the strongly implicit procedure
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Abstract
The use of the strongly implicit procedure (SIP) with an additional iteration parameter, β, to scale the residual vector is advantageous to the solution of some ground-waterflow problems. For steady-state water-table problems plagued by excessive elimination of grid blocks during the iteration process, selection of β<1 can be effective in limiting the deletion of blocks to a reasonable number. Also, a linear problem characterized by large anisotropy and layers of contrasting hydraulic conductivity was solved more efficiently with β=1.5. Effective values of β are generally in the range 0<β<2 and are easily determined by trial. Use of a β parameter in the SIP algorithm provides an effective solution technique for a class of ground-water-flow problems that previously was burdened by significant computational difficulty.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Solution of water-table and anisotropic flow problems by using the strongly implicit procedure |
| Series title | Journal of Research of the U.S. Geological Survey |
| Volume | 5 |
| Issue | 6 |
| Year Published | 1977 |
| Language | English |
| Publisher | U.S. Geological Survey |
| Description | 7 p. |
| First page | 815 |
| Last page | 821 |
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