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Finite Elements and Fast Iterative Solverswith Applications in Incompressible Fluid Dynamics$
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Howard Elman, David Silvester, and Andy Wathen

Print publication date: 2014

Print ISBN-13: 9780199678792

Published to Oxford Scholarship Online: September 2014

DOI: 10.1093/acprof:oso/9780199678792.001.0001

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Solution of Models of Buoyancy-Driven Flow

Solution of Models of Buoyancy-Driven Flow

Chapter:
(p.439) 11 Solution of Models of Buoyancy-Driven Flow
Source:
Finite Elements and Fast Iterative Solvers
Author(s):

Howard C. Elman

David J. Silvester

Andrew J. Wathen

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199678792.003.0012

This chapter concerns the numerical solution of the Boussinesq equations, which model buoyancy-driven flow. The focus is on implicit time-stepping methods and time-step control, together with iterative solution algorithms of the linearized systems.

Keywords:   Buoyancy-driven flow, Boussinesq equations, implicit time discretization, iterative algorithms

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