Balancing Domain Decomposition for Non-stationary Incompressible Flow Problems Using a Characteristic-curve Method
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- YAO Qinghe
- Department of Intelligent Machinery and Systems, Graduate School of Engineering, Kyushu University
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- KANAYAMA Hiroshi
- Department of Mechanical Engineering, Faculty of Engineering, Kyushu University
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- NOTSU Hirofumi
- Research Center for Hydrogen Industrial Use and Storage (HYDROGENIUS), National Institute of Advanced Industrial Science and Technology (AIST)
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- OGINO Masao
- Department of Mechanical Engineering, Faculty of Engineering, Kyushu University
Abstract
Numerical solutions for large scale models face the problem of poor convergence and for non-stationary problems the situation becomes worse. To speed up the convergence, an algorithm to perform the Balancing Domain Decomposition (BDD) preconditioning for non-stationary incompressible flow problems is constructed. The problem caused by the presence of nonlinear convection term in the non-stationary Navier-Stokes equations, which complicates the solving of the equations numerically, is solved by a characteristic-curve method. The method is advantageous as it renders the matrix for linear equations symmetric, thus enabling the Conjugate Gradient (CG) method to be used to solve the interface problem of the Domain Decomposition Method (DDM). The related algorithms are all implemented in parallel by the Hierarchical Domain Decomposition Method (HDDM) and the program has the capability of solving non-stationary problems with up to 10 million degrees of freedom (DOF). The BDD algorithm together with characteristic-curve method is applied to a benchmark problem, a three-dimensional driven cavity flow model, and the results are compared with available solutions.
Journal
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- Journal of Computational Science and Technology
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Journal of Computational Science and Technology 4 (2), 121-135, 2010
The Japan Society of Mechanical Engineers
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Keywords
Details 詳細情報について
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- CRID
- 1390282680251699712
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- NII Article ID
- 130000304517
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- ISSN
- 18816894
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- Text Lang
- en
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- Data Source
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- JaLC
- Crossref
- CiNii Articles
- KAKEN
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- Abstract License Flag
- Disallowed