| Abstract: | This report documents PCG2 : a numerical code to be used with the U.S. Geological Survey modular three-dimensional, finite-difference, ground-water flow model . PCG2 uses the preconditioned conjugate-gradient method to solve the equations produced by the model for hydraulic head. Linear or nonlinear flow conditions may be simulated. PCG2 includes two reconditioning options : modified incomplete Cholesky preconditioning, which is efficient on scalar computers; and polynomial preconditioning, which requires less computer storage and, with modifications that depend on the computer used, is most efficient on vector computers . Convergence of the solver is determined using both head-change and residual criteria. Nonlinear problems are solved using Picard iterations. This documentation provides a description of the preconditioned conjugate gradient method and the two preconditioners, detailed instructions for linking PCG2 to the modular model, sample data inputs, a brief description of PCG2, and a FORTRAN listing. |
| Genre: | USGS Numbered Series |
| ProdID: | 27692 |
| Citation Author: | Hill, Mary C. |
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| Citation Language: | ENGLISH |
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| Citation Phsyical Description: | iii, 43 p. :ill. ;28 cm. |
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| Citation Publisher: | U.S. Geological Survey ;
Books and Open-File Reports Section, |
| Citation Series: | Water-Resources Investigations Report |
| Citation Series Code: | WRI |
| Citation Series Number: | 90-4048 |
| Citation Search Results Text: | PRECONDITIONED CONJUGATE-GRADIENT 2 (PCG2), a computer program for solving ground-water flow equations; 1990; WRI; 90-4048; Hill, Mary C. |
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| Citation Year: | 1990 |
| Type: | citation/reference |
| Text: | PRECONDITIONED CONJUGATE-GRADIENT 2 (PCG2), a computer program for solving ground-water flow equations; 1990; WRI; 90-4048; Hill, Mary C. |
| URL (THUMBNAIL): | http://pubs.er.usgs.gov/thumbnails/wri_90_4048.jpg |
| URL (INDEX PAGE): | http://pubs.water.usgs.gov/wri904048/ |
| Date Other: | Sat, 1 Jan 1994 00:00 -0600 |
| Publisher: | U.S. Geological Survey ;
Books and Open-File Reports Section, |