We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
A second-order fully-balanced structure-preserving variational discretization scheme for the Cahn–Hilliard–Navier–Stokes system.
- Authors
Brunk, A.; Egger, H.; Habrich, O.; Lukáčová-Medviďová, M.
- Abstract
We propose and analyze a structure-preserving space-time variational discretization method for the Cahn–Hilliard–Navier–Stokes system. Uniqueness and stability for the discrete problem is established in the presence of concentration-dependent mobility and viscosity parameters by means of the relative energy estimates and order optimal convergence rates are established for all variables using balanced approximation spaces and relaxed regularity conditions on the solution. Numerical tests are presented to demonstrate the proposed method is fully practical and yields the predicted convergence rates. The discrete stability estimates developed in this paper may also be used to analyse other discretization schemes, which is briefly outlined in the discussion.
- Subjects
DISCRETIZATION methods; CRANK-nicolson method; FINITE element method
- Publication
Mathematical Models & Methods in Applied Sciences, 2023, Vol 33, Issue 12, p2587
- ISSN
0218-2025
- Publication type
Article
- DOI
10.1142/S0218202523500562