Inexact adaptive Newton methods
Journal Article
·
· Soc. Pet. Eng. AIME, Pap.; (United States)
The Inexact Adaptive Newton method (IAN) is a modification of the Adaptive Implicit Method/sup 1/ (AIM) with improved Newton convergence. Both methods simplify the Jacobian at each time step by zeroing coefficients in regions where saturations are changing slowly. The methods differ in how the diagonal block terms are treated. On test problems with up to 3,000 cells, IAN consistently saves approximately 30% of the CPU time when compared to the fully implicit method. AIM shows similar savings on some problems, but takes as much CPU time as fully implicit on other test problems due to poor Newton convergence.
- Research Organization:
- Chevron Oil Field Research Co.
- OSTI ID:
- 5398795
- Journal Information:
- Soc. Pet. Eng. AIME, Pap.; (United States), Journal Name: Soc. Pet. Eng. AIME, Pap.; (United States) Vol. SPE13501; ISSN SEAPA
- Country of Publication:
- United States
- Language:
- English
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