The gap-tooth method in particle simulations
TLDR
In this paper, the gap-to-teeth method is used for multiscale modeling of systems represented by microscopic physics-based simulators, when coarse-grained evolution equations are not available in closed form.About:
This article is published in Physics Letters A.The article was published on 2003-09-22 and is currently open access. It has received 130 citations till now. The article focuses on the topics: Multiscale modeling & Burgers' equation.read more
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Equation-free: The computer-aided analysis of complex multiscale systems
TL;DR: Over the last few years with several collaborators, a mathematically inspired, computational enabling technology is developed and validated that allows the modeler to perform macroscopic tasks acting on the microscopic models directly, and can lead to experimental protocols for the equation-free exploration of complex system dynamics.
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Phase field modeling of defects and deformation
Yunzhi Wang,Ju Li +1 more
TL;DR: In this paper, the authors reviewed new perspectives on the phase field approach in modeling deformation and fracture at the fundamental defect level, including the ability to predict fundamental properties of individual defects such as size, formation energy, saddle point configuration and activation energy of defect nuclei, and the micromechanisms of their mutual interactions.
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A review of multiscale modeling of metal-catalyzed reactions: Mechanism development for complexity and emergent behavior
TL;DR: In this paper, the authors provide a perspective on multiscale modeling of catalytic reactions with emphasis on mechanism development and application to complex and emergent systems, and discuss the bond-order conservation method for thermochemistry and activation energy estimation.
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Particle-Resolved Direct Numerical Simulation for Gas-Solid Flow Model Development
TL;DR: A review of particle-resolved direct numerical simulation (PR-DNS) of the microscale governing equations for understanding gas-solid flow physics and obtaining quantitative information for model development is presented in this article.
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From Signal Transduction to Spatial Pattern Formation in E. coli: A Paradigm for Multiscale Modeling in Biology
Radek Erban,Hans G. Othmer +1 more
TL;DR: The collective behavior of bacterial populations provides an example of how cell-level decision making translates into population-level behavior and illustrates clearly the difficult multiscale mat...
References
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A numerical approach to the testing of the fission hypothesis.
TL;DR: A finite-size particle scheme for the numerical solution of two-and three-dimensional gas dynamical problems of astronomical interest is described and tested in this article, which is then applied to the fission problem for optically thick protostars.
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On a quasi-linear parabolic equation occurring in aerodynamics
TL;DR: In this paper, the Navier-Stokes equations for one-dimensional non-stationary flow of a compressible viscous fluid are compared to the shock wave theory of a model of turbulence.
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Ideal pure shear strength of aluminum and copper.
TL;DR: By a comparative analysis of ion relaxations and valence charge redistributions in aluminum and copper, this work arrives at contrasting descriptions of bonding characteristics in these two metals that can explain their relative strength and deformation behavior.
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Atomistic mechanisms governing elastic limit and incipient plasticity in crystals
TL;DR: This work presents a fundamental framework for describing incipient plasticity that combines results of atomistic and finite-element modelling, theoretical concepts of structural stability at finite strain, and experimental analysis, and quantifies two key features of the nucleation and subsequent evolution of defects.
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