Reduced-order prediction model for the Cahn–Hilliard equation based on deep learning

Engineering Analysis with Boundary Elements, Год журнала: 2025, Номер 172, С. 106118 - 106118

Опубликована: Янв. 18, 2025

Язык: Английский

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On the phase field based model for the crystalline transition and nucleation within the Lagrange multiplier framework

Journal of Computational Physics, Год журнала: 2024, Номер 513, С. 113158 - 113158

Опубликована: Май 31, 2024

Язык: Английский

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Design of the shell-infill structures using a phase field-based topology optimization method

Computer Methods in Applied Mechanics and Engineering, Год журнала: 2024, Номер 429, С. 117138 - 117138

Опубликована: Июнь 14, 2024

Язык: Английский

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A second-order accurate numerical method with unconditional energy stability for the Lifshitz-Petrich equation on curved surfaces

Applied Mathematics Letters, Год журнала: 2024, Номер unknown, С. 109439 - 109439

Опубликована: Дек. 1, 2024

Язык: Английский

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Multi-morphological design of TPMS-based microchannels for thermal performance optimization

Applied Thermal Engineering, Год журнала: 2024, Номер 255, С. 124050 - 124050

Опубликована: Июль 27, 2024

Язык: Английский

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Stability analysis of a numerical method for the 3D high-order Allen–Cahn equation

AIP Advances, Год журнала: 2025, Номер 15(1)

Опубликована: Янв. 1, 2025

The Allen–Cahn (AC) equation describes how phase separation occurs in binary alloy systems and the dynamics of interfaces between different phases. In present study, we incorporated function high order polynomial potentials standard AC stability condition for numerical scheme that is used to solve problem three-dimensional space. We a fully explicit Euler temporal derivatives second-order finite difference approach spatial discretization. However, known its speed accuracy due use small time steps, but it subject step size limitation. Here, derived validated satisfies discrete maximum principle assures scheme. Several experiments are carried out under constrained ensure method, scheme, principle.

Язык: Английский

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On the phase-field algorithm for distinguishing connected regions in digital model

Engineering Analysis with Boundary Elements, Год журнала: 2024, Номер 168, С. 105918 - 105918

Опубликована: Авг. 13, 2024

Язык: Английский

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On the adaption of biological transport networks affected by complex domains

Physics of Fluids, Год журнала: 2024, Номер 36(10)

Опубликована: Окт. 1, 2024

This paper aims to simulate and analyze scenarios involving obstacles parasitic organisms during the growth of biological structures. We introduce an innovative model transport networks in complex domains. By manipulating sources sinks, we two distinct types One obstructs nutrient without absorbing energy. The other one absorbs Our adheres continuous functional energy dissipation law. Employing a Crank–Nicolson type method ensures second-order time accuracy. phase field-based discrete system is decoupled, linear, unconditionally stable, facilitating straightforward implementation algorithm. scheme maintains stability addressing stiffness hybrid system. research demonstrates that effective mathematical modeling numerical methods can accurately

Язык: Английский

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A fast evaluation method for surface area, volume fraction, and hydraulic diameter of TPMS with different geometric characteristics

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science, Год журнала: 2024, Номер unknown

Опубликована: Сен. 27, 2024

The utilization of triply periodic minimal surface (TPMS) structures, fabricated through additive manufacturing techniques, in engineering applications has garnered considerable attention. However, existing studies have largely overlooked the intricate relationship between design parameters and key geometric indices such as area, volume fraction, hydraulic diameters, along with their distribution patterns. This study aims to fill this gap by conducting a comprehensive investigation unveil correlations performance for various TPMS types. A newly developed parallelogram patch method area calculation is introduced compared conventional triangular method. Regression equations are synthesized derive based on parameters, facilitating final prediction. Notably, Fischer Koch S, Schoen I-WP, Schwarz Primitive emerge leading performers, achieving largest 21.523 m 2 , fraction 0.8732, diameter 0.7856 m, respectively, within feasible range. Conversely, Gyroid, Primitive, S exhibit lowest 3.5668 0.0752, 0.0745 m. regression calculating method, demonstrate commendable accuracy, less than 2.5% relative error, making them suitable practical calculations. These summarized can serve valuable guide preliminary lattices.

Язык: Английский

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Geometric Modeling for Microstructure Design and Manufacturing: A Review of Representations and Modeling Algorithms

Computer-Aided Design, Год журнала: 2024, Номер unknown, С. 103834 - 103834

Опубликована: Дек. 1, 2024

Язык: Английский

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