159 citations · 412 across the 24 of their papers we have counts for
16 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…
Numerical investigation of the sharp-interface limit of the Navier-Stokes-Cahn-Hilliard equations
T. H. B. Demont, S. K. F. Stoter, E. H. van Brummelen
In this article, we study the behavior of the Abels-Garcke-Grün Navier-Stokes-Cahn-Hilliard diffuse-interface model for binary-fluid flows, as the diffuse-interface thickness passe…
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…
A Robust and Accurate Adaptive Approximation Method for a Diffuse-Interface Model of Binary-Fluid Flows
T. H. B. Demont, G. J. van Zwieten, C. Diddens +1
We present an adaptive simulation framework for binary-fluid flows, based on the Abels-Garcke-Grün Navier-Stokes-Cahn-Hilliard (AGG NSCH) diffuse-interface model. The adaptive-refi…
Residual-based error estimation and adaptivity for stabilized immersed isogeometric analysis using truncated hierarchical B-splines
Sai C. Divi, Pieter H. van Zuijlen, Tuong Hoang +5
We propose an adaptive mesh refinement strategy for immersed isogeometric analysis, with application to steady heat conduction and viscous flow problems. The proposed strategy is b…
Topology-preserving Scan-based Immersed Isogeometric Analysis
S. C. Divi, C. V. Verhoosel, F. Auricchio +2
To exploit the advantageous properties of isogeometric analysis (IGA) in a scan-based setting, it is important to extract a smooth geometric domain from the scan data (e.g., voxel…
Scalable multigrid methods for immersed finite element methods and immersed isogeometric analysis
F. de Prenter, C. V. Verhoosel, E. H. van Brummelen +4
Ill-conditioning of the system matrix is a well-known complication in immersed finite element methods and trimmed isogeometric analysis. Elements with small intersections with the…
Skeleton-stabilized ImmersoGeometric Analysis for incompressible viscous flow problems
Tuong Hoang, Clemens V. Verhoosel, Chao-Zhong Qin +3
A Skeleton-stabilized ImmersoGeometric Analysis technique is proposed for incompressible viscous flow problems with moderate Reynolds number. The proposed formulation fits within t…
Skeleton-stabilized IsoGeometric Analysis: High-regularity Interior-Penalty methods for incompressible viscous flow problems
Tuong Hoang, Clemens V. Verhoosel, Ferdinando Auricchio +2
A Skeleton-stabilized IsoGeometric Analysis (SIGA) technique is proposed for incompressible viscous flow problems with moderate Reynolds number. The proposed method allows utilizin…
Worst-case multi-objective error estimation and adaptivity
E. H. van Brummelen, S. Zhuk, G. J. van Zwieten
This paper introduces a new computational methodology for determining a-posteriori multi-objective error estimates for finite-element approximations, and for constructing correspon…
Condition number analysis and preconditioning of the finite cell method
F. de Prenter, C. V. Verhoosel, G. J. van Zwieten +1
The (Isogeometric) Finite Cell Method - in which a domain is immersed in a structured background mesh - suffers from conditioning problems when cells with small volume fractions oc…
Elasto-capillarity Simulations based on the Navier-Stokes-Cahn-Hilliard Equations
E. H. van Brummelen, M. Shokrpour-Roudbari, G. J. van Zwieten
We consider a computational model for complex-fluid-solid interaction based on a diffuse-interface model for the complex fluid and a hyperelastic-material model for the solid. The…
Discontinuities without discontinuity: The Weakly-enforced Slip Method
G. J. van Zwieten, E. H. van Brummelen, K. G. van der Zee +2
Tectonic faults are commonly modelled as Volterra or Somigliana dislocations in an elastic medium. Various solution methods exist for this problem. However, the methods used in pra…