In this paper we present and analyze finite difference numerical schemes for the Cahn-Hilliard equation with a logarithmic Flory Huggins energy potential. Both first and second order accurate temporal algorithms are considered. In the first order scheme, we treat the nonlinear logarithmic terms and the surface diffusion term implicitly, and update the linear expansive term…
Journal of Computational Physics X Template
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About the Journal of Computational Physics X format
Journal of Computational Physics X is a peer-reviewed journal published by Elsevier, covering Advanced Numerical Methods in Computational Mathematics, Computational Fluid Dynamics and Aerodynamics, Diverse Scientific and Economic Studies.
| Publisher | Elsevier |
|---|---|
| Reference style | Numbered (Elsevier) Numbered — [1], [2] in the text [1] A. Smith, B. Jones, C. Lee, A representative article title, Journal of Computational Physics X 12 (2023) 45–58.
Formats any DOI in Journal of Computational Physics X style. No sign-up. |
| Publishes research in | Advanced Numerical Methods in Computational Mathematics Computational Fluid Dynamics and Aerodynamics Diverse Scientific and Economic Studies Human auditory perception and evaluation Educational Robotics and Engineering |
| ISSN | 2590-0552 |
| h-index | 17 |
| i10-index | 38 |
| Total citations | 1,044 |
| Article processing charge | $1,800 |
| Top institutions publishing here | Massachusetts Institute of Technology |
| Journal website | www.journals.elsevier.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Papers published in Journal of Computational Physics X per year
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Most-cited papers in Journal of Computational Physics X
A multiphase Darcy-Brinkman approach is proposed to simulate two-phase flow in hybrid systems containing both solid-free regions and porous matrices. This micro-continuum model is rooted in elementary physics and volume averaging principles, where a unique set of partial differential equations is used to represent flow in both regions and scales. The crux of the proposed…
Macro-scale models of coupled free flow and flow through a permeable medium often lack the capabilities to account for process-relevant complexities on the pore scale. Direct numerical simulation of such systems, on the other hand, inherently includes these micro-scale features but is only feasible for problems of very limited spatial and temporal extent. A new…
This paper addresses the two-way coupled Euler-Lagrange modelling of dilute particle-laden flows, with arbitrary particle-size to mesh-spacing ratio. Two-way coupled Euler-Lagrange methods classically require particles to be much smaller than the computational mesh cells for them to be accurately tracked. Particles that do not satisfy this requirement can be considered by introducing a source term…
This paper presents a method for accurate and efficient computations on scalar, vector and tensor fields in three-dimensional spherical polar coordinates. The method uses spin-weighted spherical harmonics in the angular directions and rescaled Jacobi polynomials in the radial direction. For the 2-sphere, spin-weighted harmonics allow for automating calculations in a fashion as similar to Fourier…