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1. Full Text Simulation of flux during electro-membrane extraction based on the Nernst–Planck equation
by Gjelstad, Astrid and Rasmussen, Knut Einar and Pedersen-Bjergaard, Stig
Journal of Chromatography A, ISSN 0021-9673, 2007, Volume 1174, Issue 1, pp. 104 - 111
Sample preparation | Nernst–Planck equation | Supported liquid membranes | Electro-membrane extraction | Nernst-Planck equation | Analytical chemistry | Chemistry | Miscellaneous (electroosmosis, electrophoresis, electrochromism, electrocrystallization, ...) | Exact sciences and technology | Electrochemistry | General and physical chemistry | General, instrumentation | Pharmaceutical Preparations - isolation & purification | Temperature | Models, Chemical | Solutions | Time Factors | Pharmaceutical Preparations - chemistry | Membranes, Artificial | Cations | Electric Conductivity | Chemistry Techniques, Analytical - methods | Index Medicus
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2. Full Text A free energy satisfying finite difference method for Poisson–Nernst–Planck equations
by Liu, Hailiang and Wang, Zhongming
Journal of computational physics, ISSN 0021-9991, 07/2014, Volume 268, pp. 363 - 376
Poisson equation | Nernst–Planck equation | Free energy | Positivity | Nernst-Planck equation | Physical Sciences | Computer Science, Interdisciplinary Applications | Technology | Physics, Mathematical | Computer Science | Physics | Science & Technology | Analysis | Methods | Algorithms | Computation | Mathematical analysis | Preserves | Mathematical models | Density | Finite difference method | Mathematics - Numerical Analysis
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3. Full Text Modeling transport of charged species in pore networks: Solution of the Nernst–Planck equations coupled with fluid flow and charge conservation equations
by Agnaou, Mehrez and Sadeghi, Mohammad Amin and Tranter, Thomas G and Gostick, Jeff T
Computers & geosciences, ISSN 0098-3004, 07/2020, Volume 140, p. 104505
Porous media | Simulations | openPNM | Pore network modeling | Nernst–Planck equations | Geosciences, Multidisciplinary | Physical Sciences | Computer Science, Interdisciplinary Applications | Geology | Technology | Computer Science | Science & Technology
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4. Full Text Simulating Donnan equilibria based on the Nernst-Planck equation
by Gimmi, Thomas and Alt-Epping, Peter
Geochimica et cosmochimica acta, ISSN 0016-7037, 07/2018, Volume 232, pp. 1 - 13
Nernst-Planck | Clay | Salt diffusion coefficient | Electrochemical migration | Montmorillonite | Ion transport | Anion exclusion | Coupled transport | Reactive transport | Donnan model | Physical Sciences | Science & Technology | Geochemistry & Geophysics | Nuclear energy | Analysis | Refuse and refuse disposal | Electrochemistry | Models
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5. Full Text Solving the Nernst‐Planck Equation in Heterogeneous Porous Media With Finite Volume Methods: Averaging Approaches at Interfaces
by Tournassat, Christophe and Steefel, Carl I and Gimmi, Thomas and Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Water resources research, ISSN 0043-1397, 03/2020, Volume 56, Issue 3, p. n/a
reactive transport modeling | Diffusion | Nernst‐Planck equation | averaged properties | Nernst-Planck equation | Limnology | Physical Sciences | Life Sciences & Biomedicine | Marine & Freshwater Biology | Water Resources | Environmental Sciences & Ecology | Science & Technology | Environmental Sciences | Water treatment | Membranes | Mass transport | Finite volume method | Mathematics | Solutes | Charge transport | Coefficients | Properties | Porous media | Ion charge | Diffusion coefficients | Differential media | Numerical stability | Stability | Molecular diffusion | Interfaces | Clays | Interface stability | Volume | Transport processes | Species diffusion | Finite difference method | Tracers | Sciences of the Universe
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6. Full Text Poisson–Nernst–Planck equations for simulating biomolecular diffusion–reaction processes I: Finite element solutions
by Lu, Benzhuo and Holst, Michael J and Andrew McCammon, J and Zhou, Y.C
Journal of computational physics, ISSN 0021-9991, 2010, Volume 229, Issue 19, pp. 6979 - 6994
Molecular surface | Poisson–Nernst–Planck equations | Electrodiffusion | Conditioning | Boundary condition | Finite element | Singular charges | Poisson-Nernst-Planck equations | Physical Sciences | Computer Science, Interdisciplinary Applications | Technology | Physics, Mathematical | Computer Science | Physics | Science & Technology | General | Mathematical methods in physics | Exact sciences and technology | Computational techniques | Finite element method | Solvents | Computer simulation | Mathematical analysis | Biomolecules | Mathematical models | Electrostatics | DIFFERENTIAL EQUATIONS | NUMERICAL SOLUTION | APPROXIMATIONS | CALCULATION METHODS | EQUATIONS | POISSON EQUATION | FINITE ELEMENT METHOD | BOUNDARY CONDITIONS | MATHEMATICAL SOLUTIONS | NONLINEAR PROBLEMS | PARTIAL DIFFERENTIAL EQUATIONS | CHARGED PARTICLES | MATRICES | NEWTON METHOD | ITERATIVE METHODS | MATHEMATICAL METHODS AND COMPUTING
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7. Full Text A new block preconditioner and improved finite element solver of Poisson-Nernst-Planck equation
by Ying, Jinyong and Fan, Ronghong and Li, Jiao and Lu, Benzhuo
Journal of computational physics, ISSN 0021-9991, 04/2021, Volume 430, p. 110098
Finite element method | Block preconditioner | Comparison of solution decomposition schemes | Poisson-Nernst-Planck equation | Analysis | Models | Numerical analysis
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8. Full Text A conservative discretization of the Poisson–Nernst–Planck equations on adaptive Cartesian grids
by Mirzadeh, Mohammad and Gibou, Frédéric
Journal of computational physics, ISSN 0021-9991, 10/2014, Volume 274, pp. 633 - 653
Level-set | Nonlinear Poisson–Nernst–Planck equation | Second-order discretization | Non-graded adaptive grid | Quadtree data structure | Supercapacitors | Arbitrary geometries | Nonlinear Poisson-Nernst-Planck equation | Physical Sciences | Computer Science, Interdisciplinary Applications | Technology | Physics, Mathematical | Computer Science | Physics | Science & Technology | Computer science | Algorithms | Capacitors | Mechanical engineering | Nonlinear dynamics | Discretization | Mathematical analysis | Data structures | Nonlinearity | Mathematical models | Three dimensional
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9. Full Text A mathematical approach based on the Nernst-Planck equation for the total electric voltage demanded by the electrocoagulation process: Effects of a time-dependent electrical conductivity
by Espinoza-Quiñones, Fernando Rodolfo and Romani, Maurício and Borba, Carlos Eduardo and Módenes, Aparecido Nivaldo and Utzig, Camila Fernanda and Dall'Oglio, Isabella Cristina
Chemical engineering science, ISSN 0009-2509, 07/2020, Volume 220, p. 115626
Activation voltage | non-steady Nernst-Planck equation | Electrical conductivity | Electrocoagulation electric voltage | Electro-migration voltage | Desorption-diffusion equation | Engineering | Engineering, Chemical | Technology | Science & Technology
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10. Full Text A positive and energy stable numerical scheme for the Poisson-Nernst-Planck-Cahn-Hilliard equations with steric interactions
by Qian, Yiran and Wang, Cheng and zhou, Shenggao
Journal of computational physics, ISSN 0021-9991, 02/2021, Volume 426, p. 1
Physical Sciences | Computer Science, Interdisciplinary Applications | Technology | Physics, Mathematical | Computer Science | Physics | Science & Technology | Electrochemistry | Numerical analysis | Analysis | Electric properties | Self assembly | Numerical methods | Conservation | Nanostructure | Free energy | Dynamic tests | Robustness (mathematics) | Energy dissipation | Electrolytes | Gradient flow | Regularization | Concentration gradient
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11. Full Text Global existence of large solutions for the generalized Poisson–Nernst–Planck equations
by Zhao, Jihong
Journal of mathematical analysis and applications, ISSN 0022-247X, 06/2021, Volume 498, Issue 1, p. 124943
Global large solutions | Generalized Poisson–Nernst–Planck equations | Fractional dissipation | Besov spaces | Information science
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