An Adaptive Degree of Freedom Condensation Algorithm for Simulating Transient Temperature, Applied to an Asphalt-Concrete Core Wall

To solve the problem of the high cost of transient temperature simulation in the whole construction process of an asphalt-concrete core wall, a novel adaptive degree of freedom condensation algorithm for simulating transient temperature is proposed. This method establishes the judgment criterion of...

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Bibliographic Details
Published inApplied sciences Vol. 13; no. 3; p. 1456
Main Authors Yuan, Li, Li, Tongchun, Li, Hongen, Wang, Fang, Qi, Huijun
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.02.2023
Subjects
adaptive condensation
Algorithms
Asphalt
asphalt concrete
coarsening judgment criterion
Computer simulation
Concrete
Construction
Cooling
core wall
degree of freedom
Degrees of freedom
Finite element analysis
Finite element method
Heat
High temperature
Interpolation
Mechanical properties
Shape functions
Simulation
Temperature distribution
transient temperature
Viscoelasticity
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Summary:To solve the problem of the high cost of transient temperature simulation in the whole construction process of an asphalt-concrete core wall, a novel adaptive degree of freedom condensation algorithm for simulating transient temperature is proposed. This method establishes the judgment criterion of degree of freedom condensation based on the error estimator of mesh and the artificial energy added by degree of freedom condensation. In this method, the transformation matrix between the master and slave degrees of freedom is constructed based on the shape function interpolation relationship between the initial coarse mesh and the multi-level refined mesh. In the transient calculation process, this method can automatically identify the positions where temperature distribution and value are stable and condense the considered slave degrees of freedom to master degrees of freedom through the transformation matrix at any time to reduce the unnecessary degrees of freedom. In this paper, three numerical examples show that the proposed method can effectively reduce the cost of matrix factorization and the solving the equation in the finite element method at the cost of small precision loss in the long-term transient temperature simulation.
ISSN:2076-3417
2076-3417
DOI:10.3390/app13031456