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A priori mesh error calculation method considering different constitutive models in impact and explosion simulations
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PRE
AI
B
宝
G
Q
J
S
DOI：10.1016/j.compstruc.2025.108081.png)
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Abstract
En 中文
The determination of optimal mesh size constitutes a critical factor in the numerical simulation of wave propagation, particularly under high-frequency excitations such as blast or impact loadings. In such contexts, mesh dimension significantly influences both the accuracy and efficiency of computations. Existing meshing strategies predominantly rely on numerical mesh independence analysis, which necessitates extensive computations to identify the requisite mesh size, resulting in diminished computational efficiency and limited generality. This study presents a novel theoretical approach for quantifying meshing-induced errors considering different constitutive models, founded upon wave field propagation theory and frequency-domain analysis. This approach enables the a priori estimation of appropriate mesh size along with its associated frequency truncation error through theoretical formulas, thereby obviating the need for exhaustive mesh sensitive studies and reducing computational expenditure. Furthermore, this study examines the impacts of input waveforms characteristics, geometric attenuation and material nonlinearity upon mesh-induced errors, providing theoretical explanations for empirical findings from previous studies. Numerical simulations of traditional engineering materials demonstrate the accuracy and engineering applicability of the proposed error estimation method. And by combining the proposed error estimation method with mesh refinement techniques, an adaptive meshing strategy that adheres to the error threshold is proposed. This research provides a more universal, efficient, and precise foundation for mesh generation in explosion simulations, potentially driving the advancement of highly refined and computationally efficient numerical modeling techniques.
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