Reduced-order models for array structures mounted on platforms with parameters variations

Fu, Kunpeng; Shao, Hua‐Chieh; Li, Minhua; Hu, Jun

doi:10.1016/j.enganabound.2023.07.005

Engineering Analysis with Boundary Elements

2023

DOI: 10.1016/j.enganabound.2023.07.005

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Reduced-order models for array structures mounted on platforms with parameters variations

Kunpeng Fu

Hua‐Chieh Shao

Minhua Li

et al.

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2024

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An explicit numerical method for the conservative Allen–Cahn equation on a cubic surface

Hwang,

Jyoti,

Kwak

et al. 2024

MATH

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<p>We introduced a fully explicit finite difference method (FDM) designed for numerically solving the conservative Allen–Cahn equation (CAC) on a cubic surface. In this context, the cubic surface refers to the combined areas of the six square faces that enclose the volume of a cube. The proposed numerical solution approach is structured into two sequential steps. First, the Allen–Cahn (AC) equation was solved by applying the fully explicit FDM, which is computationally efficient. Following this, the conservation term is resolved using the updated solution from the AC equation to ensure consistency with the underlying conservation principles. To evaluate the effectiveness of the proposed scheme, computational tests are performed to verify that the resulting numerical solution of the CAC equation successfully conserves the discrete mass. Additionally, the solution is examined for its ability to exhibit the property of constrained motion by mass conserving mean curvature, a critical characteristic of the CAC equation. These two properties are fundamental to the integrity and accuracy of the CAC equation.</p>

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An explicit numerical method for the conservative Allen–Cahn equation on a cubic surface

Hwang,

Jyoti,

Kwak

et al. 2024

MATH

View full text Add to dashboard Cite

show abstract

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Reduced-order models for array structures mounted on platforms with parameters variations

Cited by 1 publication

References 20 publications

An explicit numerical method for the conservative Allen–Cahn equation on a cubic surface

An explicit numerical method for the conservative Allen–Cahn equation on a cubic surface

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