A variational multiscale immersed meshfree method for fluid structure interactive systems involving shock waves

Huang, Tsung-Hui; Chen, Jiun‐Shyan; Tupek, Michael R.; Beckwith, Frank; Fang, Hanqing

doi:10.1016/j.cma.2021.114396

Cited by 16 publications

(2 citation statements)

References 83 publications

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“…Given the inherent difficulty of tracking boundary integrals for VC in fragmentation modeling, we propose a blending scheme that incorporates non-VC and VC in the includes the combination of the proposed approach for problem with impact shock wave loading [65], like air blast modeling [66].…”

Section: Discussionmentioning

confidence: 99%

A Blended Variationally Consistent Phase Field Material Point Method for Material Fragmentation Problems

Tangade,

Huang,

Rodriguez

2024

Preprint

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The material point method (MPM) can effectively addresses material fragmentation issues over mesh-based method due to its meshfree nature but faces numerical inaccuracies such as cell-crossing instability and Galerkin inexactness inherent in its numerical framework. The utilization of previously developed variational consistent (VC) corrections with smooth reproducing kernel (RK) approximations has proven effective in preventing cell-crossing and ensuring Galerkin exactness, albeit limited to continuum bodies. In this study, we present a blended variationally consistent phase field material point method for modeling material fragmentation process. The phase field damage method is integrated into MPM to facilitate the tracking of damage/cracks during the fragmentation process. The incorporation of VC correction alongside smooth RK approximation offers benefits not only for non-oscillatory stress modes but also for robust phase field evolution. To address the complexities of VC in handling domain boundary tracking during fragmentation, we introduce a deformation-driven blending scheme to seamlessly blend non-VC for fragmented regions and VC for continuous domains with a smooth transition zone in the Galerkin MPM. This approach enhances the stability and robustness of the formulation for simulating fragmentation problems. Benchmark examples involving extreme deformation scenarios illustrate the effectiveness of the proposed MPM framework, confirming its consistency and stability.

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Section: Discussionmentioning

confidence: 99%

A Blended Variationally Consistent Phase Field Material Point Method for Material Fragmentation Problems

Tangade,

Huang,

Rodriguez

2024

Preprint

Self Cite

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“…Here, we regard this cell membrane as the mechanism of information transmission of the nervous system, which is responsible for the transmission of signals and the generation of nerve potential. Besides, the research and application of shock waves [6,7,8] in the biomedical field has attracted more and more attention [9,10], especially in the transmission of nerve impulse information with shock waves [11,12,13].…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of neural activity based on discrete Markov chains with stochastic differential equations

Wang,

Luan

2024

J. Phys.: Conf. Ser.

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With the development of new numerical calculation methods and computer software science and technology, people can have a good understanding of the potential mechanisms of cerebrovascular diseases. Here, we combine the stochastic differential equation (SDE) of discrete Markov chains to numerically simulate the dynamic changes of neural signals, and find that the changes of neural signals exhibit regular fluctuations. By analyzing the variation of voltage over time, we know that the voltage change at the next moment is closely related to the previous moment and has continuity. Based on the knowledge of neural ion channel dynamics, it was found that there will be longer peak changes in voltage, exhibiting a power-law distribution, which is consistent with the actual situation and statistical data related to resignation channels. By analyzing the voltage and peak changes of ion channels, we can gain a new understanding of the transmission laws of neural information and greatly improve the biological mechanisms.

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IGA-SPH: coupling isogeometric analysis with smoothed particle hydrodynamics for air-blast–structure interaction

Rahimi,

Moutsanidis

2024

Engineering with Computers

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A variational multiscale immersed meshfree method for fluid structure interactive systems involving shock waves

Cited by 16 publications

References 83 publications

A Blended Variationally Consistent Phase Field Material Point Method for Material Fragmentation Problems

A Blended Variationally Consistent Phase Field Material Point Method for Material Fragmentation Problems

Numerical simulation of neural activity based on discrete Markov chains with stochastic differential equations

IGA-SPH: coupling isogeometric analysis with smoothed particle hydrodynamics for air-blast–structure interaction

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