The augmented Lagrangian method as a framework for stabilised methods in computational mechanics

E Burman, P Hansbo, MG Larson - Archives of Computational Methods in …, 2023 - Springer
In this paper we will present a review of recent advances in the application of the augmented
Lagrange multiplier method as a general approach for generating multiplier-free stabilised …

A mechanically consistent unified formulation for fluid-porous-structure-contact interaction

FM Gerosa, AL Marsden - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
Fluid–structure interaction with contact poses profound mathematical and numerical
challenges, particularly when considering realistic contact scenarios and the influence of …

An Implicitly Extended Crank–Nicolson Scheme for the Heat Equation on a Time-Dependent Domain

S Frei, MK Singh - Journal of Scientific Computing, 2024 - Springer
We consider a time-step** scheme of Crank–Nicolson type for the heat equation on a
moving domain in Eulerian coordinates. As the spatial domain varies between subsequent …

A fluid-structure interaction method for the elastohydrodynamic lubrication characteristics of rubber-plastic double-layer water-lubricated journal bearings

Y Shen, Y Zhang, X Zhang, H Zheng, G Wei, M Wang - Lubricants, 2023 - mdpi.com
This paper proposes a fluid-structure interaction (FSI) numerical calculation method for
investigation of the elastohydrodynamic lubrication performance of the rubber-plastic double …

A parametric geometry model of the aortic valve for subject-specific blood flow simulations using a resistive approach

G Pase, E Brinkhuis, T De Vries, J Kosinka… - … and Modeling in …, 2023 - Springer
Cardiac valves simulation is one of the most complex tasks in cardiovascular modeling.
Fluid–structure interaction is not only highly computationally demanding but also requires …

[HTML][HTML] Extending the Finite Area Method for enhanced simulation of deformable membranes and its application to extrusion blow moulding

W de Campos Galuppo, P Santana, F Alves… - Thin-Walled …, 2024 - Elsevier
This paper investigates the mechanics of the Extrusion Blow Moulding (EBM) process,
focusing on the clamp and inflation phases. The simulation framework employed in this …

[HTML][HTML] Geometric re-meshing strategies to simulate contactless rebounds of elastic solids in fluids

J Fara, S Schwarzacher, K Tůma - Computer Methods in Applied …, 2024 - Elsevier
The paper deals with the rebound of an elastic solid off a rigid wall of a container filled with
an incompressible Newtonian fluid. Our study focuses on a collision-free bounce, meaning a …

Toward a simple and accurate Lagrangian-based error estimator for the BDF algorithms and adaptive time-step**

Y Wang, D Luo, X Zhang, Z Wang, H Chen… - International Journal of …, 2023 - emerald.com
Purpose The purpose of this paper is to design a simple and accurate a-posteriori
Lagrangian-based error estimator is developed for the class of backward differentiation …

A class of fluid-structure interaction problems with analytical solutions

Y Wang, O Pironneau - International Journal for Numerical Methods in …, 2024 - hal.science
Analytical solutions to Fluid-Structure Interaction (FSI) problems are almost absent in the
literature. How-ever, they are not only essential for understanding the intricate coupling …