6 papers · 1 filter
On the Consistency of Dynamic Wetting Boundary Conditions for the Navier-Stokes-Cahn-Hilliard Equations
T. H. B. Demont, S. K. F. Stoter, C. Diddens +1
We investigate the limiting behavior of the Navier-Stokes-Cahn-Hilliard model for binary-fluid flows as the diffuse-interface thickness passes to zero, in the presence of fluid-flu…
Stabilized immersed isogeometric analysis for the Navier-Stokes-Cahn-Hilliard equations, with applications to binary-fluid flow through porous media
Stein K. F. Stoter, Tom B. van Sluijs, Tristan H. B. Demont +2
Binary-fluid flows can be modeled using the Navier-Stokes-Cahn-Hilliard equations, which represent the boundary between the fluid constituents by a diffuse interface. The diffuse-i…
Critical time-step size analysis and mass scaling by ghost-penalty for immersogeometric explicit dynamics
Stein K. F. Stoter, Sai C. Divi, E. Harald van Brummelen +3
In this article, we study the effect of small-cut elements on the critical time-step size in an immersogeometric context. We analyze different formulations for second-order (membra…
Scan-based immersed isogeometric flow analysis
Clemens V. Verhoosel, E. Harald van Brummelen, Sai C. Divi +1
This chapter reviews the work conducted by our team on scan-based immersed isogeometric analysis for flow problems. To leverage the advantageous properties of isogeometric analysis…
Stability and conditioning of immersed finite element methods: analysis and remedies
Frits de Prenter, Clemens Verhoosel, Harald van Brummelen +2
This review paper discusses the developments in immersed or unfitted finite element methods over the past decade. The main focus is the analysis and the treatment of the adverse ef…
Unification of variational multiscale analysis and Nitsche's method, and a resulting boundary layer fine-scale model
Stein K. F. Stoter, Marco F. P. ten Eikelder, Frits de Prenter +4
We show that in the variational multiscale framework, the weak enforcement of essential boundary conditions via Nitsche's method corresponds directly to a particular choice of proj…