Imperial College London
Alternate

ProfessorSerafimKalliadasis

Faculty of Engineering, Department of Chemical Engineering

Prof in Engineering Science & Applied Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 1373s.kalliadasis Website

 
 
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Assistant

 

Miss Jessica Baldock +44 (0)20 7594 5699

 
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Location

 

516ACE ExtensionSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Mendes:2021:10.1016/j.camwa.2021.02.004,
author = {Mendes, J and Russo, A and Perez, SP and Kalliadasis, S},
doi = {10.1016/j.camwa.2021.02.004},
journal = {Computers & Mathematics with Applications},
pages = {150--162},
title = {A finite-volume scheme for gradient-flow equations with non-homogeneous diffusion},
url = {http://dx.doi.org/10.1016/j.camwa.2021.02.004},
volume = {89},
year = {2021}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We develop a first- and second-order finite-volume scheme to solve gradient flow equations with non-homogeneous properties, obtained in the framework of dynamical-density functional theory. The scheme takes advantage of an upwind approach for the space discretization to ensure positivity of the density under a CFL condition and decay of the discrete free energy. Our computational approach is used to study several one- and two-dimensional systems, with a general free-energy functional accounting for external fields and inter-particle potentials, and placed in non-homogeneous thermal baths characterized by anisotropic, space-dependent and time-dependent properties.
AU  - Mendes,J
AU  - Russo,A
AU  - Perez,SP
AU  - Kalliadasis,S
DO  - 10.1016/j.camwa.2021.02.004
EP  - 162
PY  - 2021///
SN  - 0898-1221
SP  - 150
TI  - A finite-volume scheme for gradient-flow equations with non-homogeneous diffusion
T2  - Computers & Mathematics with Applications
UR  - http://dx.doi.org/10.1016/j.camwa.2021.02.004
UR  - https://www.sciencedirect.com/science/article/pii/S0898122121000407?via%3Dihub
UR  - http://hdl.handle.net/10044/1/95062
VL  - 89
ER  -
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