Title | Effects of chemical reactions on iterative methods for implicit time stepping |
Publication Type | Journal Article |
Year of Publication | 1998 |
Authors | Leeming GJS, Mayer K.U, Simpson RB |
Journal | ADVANCES IN WATER RESOURCES |
Volume | 22 |
Pagination | 333-347 |
Date Published | DEC 11 |
ISSN | 0309-1708 |
Abstract | We compare the performance of the fully coupled Newton-Raphson method with the sequential iteration approach (SIA) for solving the implicit time stepping equations of reactive transport modeling. We formulate the implicit time stepping equations for a demonstration model that incorporates homogeneous equilibrium reactions, i.e. carbonate hydrolysis, and a heterogeneous equilibrium reaction, i.e. the dissolution/precipitation of calcite. The demonstration model uses a coupled pair of mixing cells as a simplified form of transport. The effects of the homogeneous and heterogeneous reactions on the iterative methods are demonstrated. (C) 1998 Elsevier Science Limited. All rights reserved. |
DOI | 10.1016/S0309-1708(98)00019-0 |