11 Result(s)
within
E. H. van Brummelen
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Article
Open AccessMultigrid solvers for immersed finite element methods and immersed isogeometric analysis
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 physical domain yield problem...
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Article
Open AccessFinite element simulation of pressure-loaded phase-field fractures
A non-standard aspect of phase-field fracture formulations for pressurized cracks is the application of the pressure loading, due to the fact that a direct notion of the fracture surfaces is absent. In this wo...
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Article
Open AccessMoment Closure Approximations of the Boltzmann Equation Based on \(\varphi \) -Divergences
This paper is concerned with approximations of the Boltzmann equation based on the method of moments. We propose a generalization of the setting of the moment-closure problem from relative entropy to ...
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Chapter
Elasto-Capillarity Simulations Based on the Navier–Stokes–Cahn–Hilliard Equations
We consider a computational model for complex-fluid–solid interaction (CSFI) based on a diffuse-interface model for the complex fluid and a hyperelastic-material model for the solid. The diffuse-interface comp...
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Article
Goal-oriented model adaptivity for viscous incompressible flows
In van Opstal et al. (Comput Mech 50:779–788, 2012) airbag inflation simulations were performed where the flow was approximated by Stokes flow. Inside the intricately folded initial geometry the Stokes assumption...
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Chapter
Shape-Newton Method for Isogeometric Discretizations of Free-Boundary Problems
We derive Newton-type solution algorithms for a Bernoulli-type free-boundary problem at the continuous level. The Newton schemes are obtained by applying Hadamard shape derivatives to a suitable weak formulati...
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Article
A finite-element/boundary-element method for large-displacement fluid-structure interaction
We present a combined finite-element/boundary-element method to simulate inflation processes, characterized by a light, folded structure envelo** a viscous fluid. The application of the boundary-element meth...
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Chapter and Conference Paper
Conservation under Incompatibility for Fluid-Solid-Interaction Problems: the NPCL Method
Finite-element discretizations of fluid-solid-interaction problems only trivially preserve the conservation properties of the underlying problem under restrictive compatibility conditions on the approximation ...
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Chapter and Conference Paper
Fix for Solution Errors near Interfaces in Two-Fluid Flow Computations
A finite-volume method is considered for the computation of flows of two compressible, immiscible fluids at very different densities. A level-set technique is employed to distinguish between the two fluids. A ...
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Chapter and Conference Paper
Numerical Solution of Steady Free-Surface Navier-Stokes Flow
The usual time integration approach for solving steady viscous free-surface flow problems has several drawbacks. We propose an efficient iterative method, which relies on a so-called quasi free-surface conditi...
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Chapter
A Godunov-Type Method for Capturing Water Waves
In spite of the absence of shock waves in most hydrodynamic applications, sufficient reason remains to employ Godunov-type schemes in this field. In the instance of two-phase flow, the shock capturing ability ...
