Spectral method for modified Poisson-Boltzmann equation on different geometries
| Autor: | Chen, Yi-Ting, 陳奕廷 |
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| Rok vydání: | 2019 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 107 To investigate the structure of the electrical double layer (EDL) in electrolyte solutions, we visit modified Poisson-Boltzmann (MPB) equation over different geometries, like polar, elliptical, annular, and rectangular geometries, and verify a theoretical prediction numerically. First, we consider the linear Poisson equation △φ = f and state how we solve it with Chebyshev- Fourier spectral method. Second, we describe how we solve nonlinear MPB equation with Newton’s method. The advantage of our approach is that the grid points are clustered close to the domain boundary so that we can capture the behavior of the boundary layer accurately. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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