Efficient solvers for incompressible fluid flows in geosciences

Amirbekyan, A. and Gross, L. (2008). Efficient solvers for incompressible fluid flows in geosciences. In: C. E. M. Pearce, Proceedings of CTAC'08 - The 14th Biennial Computational Techniques and Applications Conference. CTAC'08 - The 14th Biennial Computational Techniques and Applications Conference, Australian National University, Canberra, Australia, (C189-C203). 13-16 July 2008.

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Author Amirbekyan, A.
Gross, L.
Title of paper Efficient solvers for incompressible fluid flows in geosciences
Conference name CTAC'08 - The 14th Biennial Computational Techniques and Applications Conference
Conference location Australian National University, Canberra, Australia
Conference dates 13-16 July 2008
Proceedings title Proceedings of CTAC'08 - The 14th Biennial Computational Techniques and Applications Conference   Check publisher's open access policy
Place of Publication Cambridge, U.K.
Publisher Cambridge University Press
Publication Year 2008
Sub-type Fully published paper
ISSN 1446-8735
1446-1811
Editor C. E. M. Pearce
Volume 50
Start page C189
End page C203
Total pages 15
Language eng
Abstract/Summary Saddle point problems involving large systems of linear equations arise in a wide variety of applications in computational science and engineering. A variety of solvers have been developed for these type of problems typically with specific applications in mind. In this paper we will focus on saddle point problems as they arise from incompressible fluid flow problems in applications in geosciences. They are characterized through a spatially variable viscosity when modeling temperature dependencies (e.g. in Earth mantel convection models) or moving material interfaces (e.g. in subduction zones simulation and numerical volcano models). In this paper we will give an overview on some of the iterative techniques that can be used and discuss suitable preconditioning techniques. We will discuss the implementation of the schemes using the python module Escript and compare the efficiency of these schemes when applied to convection models on a parallel computer.
Subjects 010399 Numerical and Computational Mathematics not elsewhere classified
Keyword Saddle point problems
Preconditioning techniques
Python module
Escript
Geoscience
Q-Index Code E1
Q-Index Status Provisional Code

 
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Created: Mon, 18 Aug 2008, 13:43:02 EST by Dr Artak Amirbekyan on behalf of Earth Systems Science Computational Centre