Newest published article in Computational Materials Science (January 2019) on span>
Recent advances in the evolution of interfaces: thermodynamics, upscaling, and universality
with highlights such as ``a concise account of Variational and systematic Non-equilibrium Thermodynamic formulations'', ``a promising Novel Theoretical-Computational Tool for the systematic and reliable effective description of multiphase flow in porous media and a wide range of applications'', ``Universality of Coarsening Rates which are independent of geometries of perforations''.
A summary/graphical abstract is available here.
June 25-27, 2018: EPSRC funded Workshop on
Complex Heterogeneous Systems
taking place at Heriot-Watt University, Edinburgh.
The preliminary programme can be downoaded here.
New group members:
Exchange Research Student from France
Project on Machine Learningin Summer 2018.
ETP funded Research Student
Industrial Project on Energyin 2018.
Dr. Selcuk Atalay
started to work on the EPSRC funded project
Transport and Reactions in Complex Heterogeneous Multiphase Systemsin July 2017.
Ms. Jeta Molla
will start her PhD project associated with the EPSRC fundend project
Transport and Reactions in Complex Heterogeneous Multiphase Systems,in October 2017.
Most recent research results:
Rigorous and computational advances on the evolution of interfaces:
M. Schmuck, G.A. Pavliotis, and S. Kalliadasis, Recent advances in the evolution of interfaces: thermodynamics, upscaling, and universality, arXiv:1804:09228, accepted in Comp. Mater. Sci. (2018).
Computational VALIDATION of upscaled/homogenized phase field equations and UNIVERSALITY in periodic porous media:
A. Ververis & M. Schmuck Computational investigation of porous media phase field formulations: microscopic, effective macroscopic, and Langevin equations, Journal of Computational Physics, 344:485-498 (2017).
Effective composite cathode formulation accounting for phase transforming intercalation hosts:
Schmuck, M., Upscaling of solid-electrolyte composite intercalation cathodes for energy storage systems: Homogenized composite cathode equations, Applied Mathematics Research eXpress, 2017(2):402-430 (2017).
Error estimastes/convergence rates for the porous media approximation of phase field equations:
Schmuck, M. & Kalliadasis, S., Rate of convergence of general phase field equations in strongly heterogeneous media towards their homogenized limit: error estimates for upscaled phase field equations, SIAM Journal on Applied Mathematics, 77(4):1471-1492 (2017).
Available PhD projects:
Analysis & Probability
Applied & Computational Mathematics
for the following projects:
(1) From Photosynthesis to Solar Cells: investigating new theoretical and computational directions
(2) Modelling, Analysis, and Numerics for Stochastic Multiscale Systems
(3) Quantum inspired mathematical formulation for decision-making: computing and algorithms
IMA online first
On the appearance of randomness in deterministic equations: Evolutionary renormalization and maximum entropy principles
With a talk at APS-DFD conference!
Published in Nonlinearity
New immiscible flow equations in porous media
An effective/upscaled/homogenized macroscopic Stokes-Cahn-Hilliard formulation:
Mathematical analysis and first computations with talk at APS-DFD conference!
On the role of randomness in deterministic PDEs with dissipation:
A systematic framework for Stochastic Mode Reduction and Uncertainty Quantification.
How the microscale can induce new transport characteristics:
New transport mechanism for dilute electrolytes!
How the microscale and material properties define macroscopic transport characteristics.