A Two-Level Aggregation-Based Newton-Krylov-Schwartz Method for Hydrology

A Two-Level Aggregation-Based Newton-Krylov-Schwartz Method for Hydrology

Newton-Krylov-Schwarz methods solve nonlinear equations by using Newton's method with a Schwarz domain decomposition preconditioned Krylov method to approximate the Newton step. In this paper we discuss the design and implementation of Newton-Krylov-Schwarz solvers in the context of the implici...

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Bibliographische Detailangaben
Hauptverfasser: Jenkins, E W, Berger, R C, Hallberg, J P, Howington, S E, Kelley, C T, Schmidt, J H, Stagg, A K, Tocci, M D
Format: Report
Sprache:eng
Schlagworte:
BENDING
DIFFERENTIAL EQUATIONS
Fluid Mechanics
HYDROLOGY
Hydrology, Limnology and Potamology
NAVIER STOKES EQUATIONS
NONLINEAR ALGEBRAIC EQUATIONS
NUMERICAL METHODS AND PROCEDURES
RIVERS
Theoretical Mathematics
THREE DIMENSIONAL
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Zusammenfassung:Newton-Krylov-Schwarz methods solve nonlinear equations by using Newton's method with a Schwarz domain decomposition preconditioned Krylov method to approximate the Newton step. In this paper we discuss the design and implementation of Newton-Krylov-Schwarz solvers in the context of the implicit temporal integration on an unstructured three-dimensional mesh of the Navier-Stokes evaluations for modeling flow in a river bend. The original document contains color images. Sponsored in part by the Army Research Office, contract DAAD29-99-1-0186, US Army contract DACA39-95-K-0098, and the National Science Foundation, grant DMS9700569.