RT journal article
T1 Property-preserving numerical approximation of a Cahn–Hilliard–Navier–Stokes model with variable density and degenerate mobility
A1 Acosta Soba, Daniel
A1 Guillén González, Francisco
A1 Rodríguez Galván, José Rafael
A1 Wang, J.
A2 Matemáticas
K1 Mass-conservation
K1 Discrete pointwise bounds
K1 Discrete energy stability
K1 Finite elements
K1 Discontinuous Galerkin
K1 Upwind scheme
AB In this paper, we present a new computational framework to approximate a Cahn–Hilliard--Navier--Stokes model with variable density and degenerate mobility that preserves the mass of themixture, the pointwise bounds of the density and the decreasing energy. This numerical schemeis based on a finite element approximation for the Navier–Stokes fluid flow with discontinuouspressure and an upwind discontinuous Galerkin scheme for the Cahn–Hilliard part. Finally, severalnumerical experiments such as a convergence test and some well-known benchmark problems areconducted.
PB Elsevier
SN 0168-9274
YR 2024
FD 2024-11-14
LK http://hdl.handle.net/10498/35726
UL http://hdl.handle.net/10498/35726
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026