4.7 Article

Dendritic Growth Patterns in Rocks: Inverting the Driving and Triggering Mechanisms

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Computer Science, Interdisciplinary Applications

Modeling of dendritic solidification and numerical analysis of the phase-field approach to model complex morphologies in alloys

Kunal Bhagat et al.

Summary: Dendrites are tree-like structures that are widely observed in nature and have excellent space-filling properties and fractal-like distributions. Modeling dendritic structures is challenging and computationally demanding. This study presents a numerical framework for modeling various dendritic structures relevant to metal solidification, with a unified treatment of pure metals and alloys. The framework includes error estimation and convergence analysis.

ENGINEERING WITH COMPUTERS (2023)

Article Mathematics, Interdisciplinary Applications

An Adaptive in Space, Stabilized Finite Element Method via Residual Minimization for Linear and Nonlinear Unsteady Advection-Diffusion-Reaction Equations

Juan F. F. Giraldo et al.

Summary: We developed a stabilized finite element method for linear and nonlinear unsteady advection-diffusion-reaction equations using the method of lines. Our method combines a time-marching schema and a semi-discrete discontinuous Galerkin formulation in space, and provides a stable continuous solution and an on-the-fly error estimate for adaptivity. We demonstrated the stability and efficiency of our method in advection-dominated problems and the nonlinear Bratu equation in two dimensions.

MATHEMATICAL AND COMPUTATIONAL APPLICATIONS (2023)

Article Engineering, Geological

Phase-field modeling of rock fractures with roughness

Fan Fei et al.

Summary: Phase-field modeling is a continuous approach used for simulating rock fractures, which can handle complex, discontinuous geometry without explicit surface tracking algorithms. However, current phase-field models do not consider the impact of surface roughness on the mechanical response of fractures, despite its importance for subsurface systems. To address this, we introduce the first framework for phase-field modeling of rough rock fractures, which can simulate complex crack growth from rough discontinuities.

INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS (2022)

Article Energy & Fuels

Phase-field modeling of wormhole formation and growth in carbonate matrix acidizing

K. Furui et al.

Summary: Fluid flow in geologic formations can lead to the formation of wormholes, which are dendritic patterns formed by mineral dissolution. This study focuses on the process instability driven by reaction-infiltration and applies a phase-field approach to simulate wormhole formation. The results show that the model is capable of accurately predicting the growth patterns of wormholes.

JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING (2022)

Article Materials Science, Multidisciplinary

Mechano-electrochemical phase field modeling for formation and modulation of dendritic Pattern: Application to uranium recovery from spent nuclear fuel

Chen Lin et al.

Summary: Researchers developed a computational model to understand and modulate uranium dendritic formation, considering various complexities in the mechano-electrochemical process, and identified potential pathways to minimize failures caused by dendrite formation.

MATERIALS & DESIGN (2022)

Article Geosciences, Multidisciplinary

Localized folding of thick layers

Pouria Behnoudfar et al.

Summary: This study describes the localized folding of thick layers embedded in a viscoelastic framework. By modifying the Swift-Hohenberg equation and using a high-order shear theory, the researchers were able to model and study the folding process. The use of thick layers allowed for consideration of shear strains parallel to the layers and the inclusion of a non-linear viscoelastic description captured the material's softening-stiffening behavior.

JOURNAL OF STRUCTURAL GEOLOGY (2022)

Article Energy & Fuels

Dendrite formation in rechargeable lithium-metal batteries: Phase-field modeling using open-source finite element library

Marcos E. Arguello et al.

Summary: We describe a phase-field model that can explain the dendrite formation during the electrodeposition process in metal-anode batteries. By solving a system of partial differential equations, the evolution of the phase field, lithium-ion concentration, and electric potential can be described. Using an open-source finite element library, we can discretize and solve the equations to simulate the electrochemical interactions during a battery charge cycle. The simulations in two and three dimensions agree with experimental observations of dendrite growth rates and morphologies.

JOURNAL OF ENERGY STORAGE (2022)

Review Computer Science, Interdisciplinary Applications

Simulation of mineral dissolution at the pore scale with evolving fluid-solid interfaces: review of approaches and benchmark problem set

Sergi Molins et al.

Summary: This study introduces a benchmark problem for evaluating the simulation of single-phase flow, reactive transport, and solid geometry evolution at the pore scale. By comparing results from five different codes, it demonstrates significant agreement both quantitatively and qualitatively, providing a strong benchmark for validating and testing pore-scale codes.

COMPUTATIONAL GEOSCIENCES (2021)

Article Engineering, Multidisciplinary

Automatically adaptive, stabilized finite element method via residual minimization for heterogeneous, anisotropic advection-diffusion-reaction problems

Roberto J. Cier et al.

Summary: The translated text describes a stable finite element formulation for advection-diffusion-reaction problems that allows for robust automatic adaptivity. The method efficiently demonstrates high applicability in various engineering applications.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2021)

Article Mechanics

On the control volume arbitrariness in the Navier-Stokes equation

Luis Espath

Summary: The continuum theory presented in this study demonstrates the implications of considering general tractions developed on control volumes with surfaces lacking smoothness. These tractions are tailored to recover the Navier-Stokes-alpha beta equation and its thermodynamics. By postulating surface balances, an alternative approach to deriving natural boundary conditions is provided.

PHYSICS OF FLUIDS (2021)

Review Chemistry, Applied

Reactive Flows in Porous Media: Challenges in Theoretical and Numerical Methods

Anthony J. C. Ladd et al.

Summary: This article reviews theoretical and computational research on the flow of reactive fluids in porous media, focusing on nonlinear feedback mechanisms that can enhance permeability. It discusses the evolution of geological forms inferred from these mechanisms and geotechnical applications, as well as the limitations and successes of Darcy-scale modeling and pore-scale modeling. Recent research on validation of pore-scale simulations, particularly through visual observations from microfluidic experiments, is also included.

ANNUAL REVIEW OF CHEMICAL AND BIOMOLECULAR ENGINEERING, VOL 12, 2021 (2021)

Article Chemistry, Physical

PRISMS-PF: A general framework for phase-field modeling with a matrix-free finite element method

Stephen DeWitt et al.

NPJ COMPUTATIONAL MATERIALS (2020)

Article Mathematics, Applied

The deal .II library, Version 9.2

Daniel Arndt et al.

JOURNAL OF NUMERICAL MATHEMATICS (2020)

Article Materials Science, Multidisciplinary

Phase-field modeling of constrained interactive fungal networks

F. Ghanbari et al.

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2020)

Article Mechanics

Models and simulations of surfactant-driven fracture in particle rafts

C. Peco et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2019)

Article Materials Science, Multidisciplinary

Comparative study of different anisotropy and potential formulations of phase-field models for dendritic solidification

Julia Kundin et al.

COMPUTATIONAL MATERIALS SCIENCE (2019)

Article Engineering, Multidisciplinary

An energy-stable time-integrator for phase-field models

P. Vignal et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2017)

Article Engineering, Chemical

Micro-continuum Approach for Pore-Scale Simulation of Subsurface Processes

Cyprien Soulaine et al.

TRANSPORT IN POROUS MEDIA (2016)

Article Multidisciplinary Sciences

Self-organized iron-oxide cementation geometry as an indicator of paleo-flows

Yifeng Wang et al.

SCIENTIFIC REPORTS (2015)

Article

Fluid-Rock Interaction: A Reactive Transport Approach

C. I. Steefel et al.

Reviews in Mineralogy & Geochemistry (2009)

Article Engineering, Multidisciplinary

Isogeometric analysis of the Cahn-Hilliard phase-field model

Hector Gomez et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2008)

Article Chemistry, Physical

Phase-field modeling of solute precipitation and dissolution

Zhijie Xu et al.

JOURNAL OF CHEMICAL PHYSICS (2008)

Article Computer Science, Interdisciplinary Applications

A fully implicit, fully adaptive time and space discretisation method for phase-field simulation of binary alloy solidification

J. Rosam et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2007)

Article Computer Science, Interdisciplinary Applications

Simulations of reactive transport and precipitation with smoothed particle hydrodynamics

Alexandre M. Tartakovsky et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2007)

Article Physics, Multidisciplinary

Computation of the fractal pattern in manganese dendrites

Z Merdan et al.

CHINESE PHYSICS LETTERS (2005)