Development and Application of a New High-Efficiency Sparse Linear System Solver in the Thermal-Hydraulic System Analysis Code

This paper presents a faster solver named NRLU (Node Reordering Lower Upper) factorization solver to improve the solution speed for the pressure equations, which are formed by RELAP5/MOD3.3. The NRLU solver uses the oriented graph method and minimal fill-ins rule to reorder the structure of the nons...

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Bibliographic Details
Published in:Science and technology of nuclear installations 2017-01, Vol.2017 (2017), p.1-10
Main Authors: Ge, Li, Shan, Jianqiang, Liu, Wei
Format: Article
Language:English
Subjects:
Algorithms
Embedded systems
Factorization
Hydraulics
Iterative methods
Methods
Nuclear power plants
Nuclear reactors
Personal computers
Software
Sparsity
Systems analysis
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Summary:This paper presents a faster solver named NRLU (Node Reordering Lower Upper) factorization solver to improve the solution speed for the pressure equations, which are formed by RELAP5/MOD3.3. The NRLU solver uses the oriented graph method and minimal fill-ins rule to reorder the structure of the nonsymmetry sparse pressure matrix. It solves the pressure matrix by LU factorization. Then the solver is embedded into the large scale advanced thermal-hydraulic system analysis program RELAP5/MOD3.3. The comparisons of the original solver and the NRLU solver show that the NRLU solver is faster than the original solver in RELAP5/MOD3.3, and the rate enhancement can be 44.44%. The results also show that the NRLU solver can reduce the number of fill-ins effectively. This can improve the calculation speed.
ISSN:1687-6075
1687-6083
DOI:10.1155/2017/7072197