The Violation of Conservation Laws when Solving Difference Equations by Iteration Methods

Mikhail Shashkov

Group T-7, MS-B284, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico, USA, 87545


It is shown that the use of iteration methods for solving difference equations that correspond to conservative finite-difference methods may result in considerable energy disbalance. This phenomenon is considered for heat conduction equations and equations of Lagrangian gas dynamics. We are considering some classes of iteration methods which preserve conservation properties of original discrete equations. Results of some numerical calculations are given. from