Newton-Krylov-Schwarz Method for a Spherical Shallow Water Model*

DOI10.1007/978-3-642-11304-8_15zbMath1430.76408OpenAlexW1488573623MaRDI QIDQ2998415

Chao Yang, Xiao-Chuan Cai

Publication date: 18 May 2011

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-11304-8_15

zbMATH Keywords

shallow water equationdomain decomposition methodinexact Newton methodshallow water modelprocessor core

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite volume methods applied to problems in fluid mechanics (76M12) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Basic methods in fluid mechanics (76M99)

Related Items (1)

Parallel multilevel methods for implicit solution of shallow water equations with nonsmooth topography on the cubed-sphere

Cites Work

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• Upwind schemes and boundary conditions with applications to Euler equations in general geometries
• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• Spectral transform solutions to the shallow water test set
• The ``cubed sphere: A new method for the solution of partial differential equations in spherical geometry
• A Fully Implicit Domain Decomposition Algorithm for Shallow Water Equations on the Cubed-Sphere
• Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
• A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
• Choosing the Forcing Terms in an Inexact Newton Method

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