Semi-analytical algorithm for quasicrystal patterns DOI

Keyue Sun,

Xiangjie Kong,

Junxiang Yang

et al.

Computers & Mathematics with Applications, Journal Year: 2024, Volume and Issue: 180, P. 130 - 143

Published: Dec. 30, 2024

Language: Английский

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

Zhixian Lv,

Xin Song, Jiachen Feng

et al.

Engineering Analysis with Boundary Elements, Journal Year: 2025, Volume and Issue: 172, P. 106118 - 106118

Published: Jan. 18, 2025

Language: Английский

Citations

3
On the phase field based model for the crystalline transition and nucleation within the Lagrange multiplier framework DOI
Qing Xia, Junxiang Yang, Junseok Kim

et al.

Journal of Computational Physics, Journal Year: 2024, Volume and Issue: 513, P. 113158 - 113158

Published: May 31, 2024

Language: Английский

Citations

13
Design of the shell-infill structures using a phase field-based topology optimization method DOI
Wenxuan Xie, Jiachen Feng, Qing Xia

et al.

Computer Methods in Applied Mechanics and Engineering, Journal Year: 2024, Volume and Issue: 429, P. 117138 - 117138

Published: June 14, 2024

Language: Английский

Citations

10
A second-order accurate numerical method with unconditional energy stability for the Lifshitz-Petrich equation on curved surfaces DOI
Xiaochuan Hu, Qing Xia,

Binhu Xia

et al.

Applied Mathematics Letters, Journal Year: 2024, Volume and Issue: unknown, P. 109439 - 109439

Published: Dec. 1, 2024

Language: Английский

Citations

6
Stability analysis of a numerical method for the 3D high-order Allen–Cahn equation DOI Creative Commons

Seokjun Ham,

Jyoti,

Jaeyong Choi

et al.

AIP Advances, Journal Year: 2025, Volume and Issue: 15(1)

Published: Jan. 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.

Language: Английский

Citations

0
Multi-morphological design of TPMS-based microchannels for thermal performance optimization DOI

Zi-Peng Chi,

Guanhua Yang, Qinghui Wang

et al.

Applied Thermal Engineering, Journal Year: 2024, Volume and Issue: 255, P. 124050 - 124050

Published: July 27, 2024

Language: Английский

Citations

3
On the phase-field algorithm for distinguishing connected regions in digital model DOI

Sijing Lai,

Bing Jiang, Qing Xia

et al.

Engineering Analysis with Boundary Elements, Journal Year: 2024, Volume and Issue: 168, P. 105918 - 105918

Published: Aug. 13, 2024

Language: Английский

Citations

2
On the adaption of biological transport networks affected by complex domains DOI
Yibao Li,

Zhixian Lv,

Qing Xia

et al.

Physics of Fluids, Journal Year: 2024, Volume and Issue: 36(10)

Published: Oct. 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

Language: Английский

Citations

2
A fast evaluation method for surface area, volume fraction, and hydraulic diameter of TPMS with different geometric characteristics DOI

Xinyu He,

Ce Yang,

Mingqiu Zheng

et al.

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science, Journal Year: 2024, Volume and Issue: unknown

Published: Sept. 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.

Language: Английский

Citations

1
Accurate and parallel simulation of the anisotropic dendrite crystal growth by Lagrangian data assimilation with directional operator splitting DOI
Fangyang Zheng, Yan Wang, Xufeng Xiao

et al.

Computers & Mathematics with Applications, Journal Year: 2024, Volume and Issue: 175, P. 416 - 432

Published: Oct. 22, 2024

Language: Английский

Citations

0