[10/03/23] Prof. Serafim Kalliadasis together with Jim Lutsko from Université Libre de Bruxelles and Erik Santiso from North Carolina State University co-organised the CECAM flagship workshop "Metastability and multiscale effects in interfacial phenomena" March 13, 2023 - March 15, 2023. Details are given here.
[10/03/23] We are pleased that Dr. Peter Yatsyshin has been offered a Turing Research Fellowship with The Alan Turing Institute.
[07/02/23] Unconditional bound-preserving and energy-dissipating finite-volume schemes for the Cahn-Hilliard equation. We propose finite-volume schemes for the Cahn-Hilliard equation which unconditionally and discretely preserve the boundedness of the phase field and the dissipation of the free energy. Our numerical framework is applicable to a variety of free-energy potentials, including Ginzburg-Landau and Flory-Huggins, to general wetting boundary conditions, and to degenerate mobilities. Its central thrust is the upwind methodology, which we combine with a semi-implicit formulation for the free-energy terms based on the classical convex-splitting approach. The extension of the schemes to an arbitrary number of dimensions is straightforward thanks to their dimensionally split nature, which allows to efficiently solve higher-dimensional problems with a simple parallelization. The numerical schemes are validated and tested through a variety of examples, in different dimensions, and with various contact angles between droplets and substrates.
Our work has been submitted in the journal Communications in Computational Physics. You can see the simulations in the following link.