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ISSN 2753-3239
ISSN 2753-3239
CCC: 9
PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY
PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY
Edited by: P. Iványi, J. Kruis and B.H.V. Topping
Paper 13.1
Performance Evaluation of Iterative Solvers for Vectorized Quasi-Static Heat Conduction in Peridynamics
S. Kim1, S. Jin2,1 and J.-W. Hong1
1Department of Civil and Environmental Engineering, KAIST, Daejeon, Republic of Korea
2Division of Engineering and Applied Science, California Institute of Technology, Pasadena, United States of America
Full Bibliographic Reference for this paper
S. Kim, S. Jin, J.-W. Hong, "Performance Evaluation of Iterative Solvers for Vectorized Quasi-Static Heat Conduction in Peridynamics", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on
Computational Structures Technology", Civil-Comp Press, Edinburgh, UK,
Online volume: CCC 9, Paper 13.1, 2024, doi:10.4203/ccc.9.13.1
Keywords: peridynamics, quasi-static heat conduction, vectorized computation, iterative solver, peridynamic differential operator, discretization.
Abstract
Heat conduction analyses on discontinuities via Peridynamics require a large amount of calculations. In this study, we propose a vectorization process to solve the peridynamic governing equations for quasi-static heat conduction analyses and suggest the optimal iterative solver. The heat equation is expressed by using peridynamic differential operators, and simplified for thermally isotropic simulations. The governing equation represented with compressed sparse row matrices consists of an off-diagonal sparse matrix and two diagonal matrices. Using vectorized operations, these matrices are further split into matrices related to the geometry. Four iterative solvers such as BiCG, BiCGSTAB, GMRES, and LGMRES are applied to solve the vectorized equation, and LGMRES demonstrates the best convergence times with the least number of calculation steps for several types of geometries. The temperature fields yielded by LGMRES are in good agreement with the results by the finite element analyses in the quasi-static thermal condition. This proposed vectorization procedure and the optimized iterative solver on Peridynamics will be useful to simulate the fully coupled thermomechanics.
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