Speaker
Description
The Cahn-Hilliard equation is a classical phase-field model that describes phase separation and coarsening in binary mixtures. It captures the fundamental physics of mass conservation and free energy minimization, with wide-ranging applications in materials science, soft matter physics, and condensed matter systems such as alloys, polymer blends, and binary fluids. Due to its stiffness, analytical solutions are difficult to obtain, and the accuracy of numerical results largely depends on the chosen free energy potential. We compare the Flory-Huggins logarithmic free energy with an alpha-order polynomial approximation to illustrate the balance between physical accuracy and computational simplicity. The logarithmic potential enforces the physical bound between negative one and one but becomes singular at the endpoints, while the polynomial form eliminates these singularities at the cost of minor violations of the maximum principle. We study logarithmic potential with a regularization parameter, which provides a more physically consistent phase-field representation, reaching the pure concentrations. To ensure robustness, we use a Fourier spectral spatial discretization combined with a convex-splitting time integration scheme that guarantees unconditional energy stability, mass conservation, and energy minimization. Numerical experiments show that a suitably regularized logarithmic potential reduces singularity effects while preserving physical constraints, producing sharper interfaces and improved phase-separation dynamics.
| Country | Saudi Arabia |
|---|---|
| Student Awards | I would like to submit this presentation into the Earth Energy Science (EES) and Capillarity Student Poster Awards. |
| Acceptance of the Terms & Conditions | Click here to agree |
