On the angular momentum conservation and incremental objectivity properties of a predictor/multi-corrector method for Lagrangian shock hydrodynamics
This article presents an analysis of the global angular momentum conservation and objectivity properties for a predictor/multi-corrector scheme often used in shock hydrodynamics computations in combination with staggered spatial discretizations. As the number of iterations increases, the numerical solution of the predictor/multi-corrector algorithm converges to that of an implicit mid-point time integrator, which preserves global angular momentum and incremental objectivity. In the case of a finite number of iterations, the order of accuracy with which these quantities are preserved is always higher than the order of accuracy of the method, and decays as Δ t2 i, where i is the iteration index. © 2009 Elsevier B.V. All rights reserved.
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