Accelerated simulation methodologies for computational vascular flow modelling

M MacRaild, A Sarrami-Foroushani… - Journal of the …, 2024 - royalsocietypublishing.org
Vascular flow modelling can improve our understanding of vascular pathologies and aid in
developing safe and effective medical devices. Vascular flow models typically involve …

Review of cardiac–coronary interaction and insights from mathematical modeling

L Fan, H Wang, GS Kassab… - WIREs Mechanisms of …, 2024 - Wiley Online Library
Cardiac–coronary interaction is fundamental to the function of the heart. As one of the
highest metabolic organs in the body, the cardiac oxygen demand is met by blood perfusion …

Super-localization of spatial network models

M Hauck, A Målqvist - Numerische Mathematik, 2024 - Springer
Spatial network models are used as a simplified discrete representation in a wide range of
applications, eg, flow in blood vessels, elasticity of fiber based materials, and pore network …

Numerical simulation of endovascular treatment options for cerebral aneurysms

M Frank, F Holzberger, M Horvat, J Kirschke… - GAMM …, 2024 - Wiley Online Library
Predicting the long‐term success of endovascular interventions in the clinical management
of cerebral aneurysms requires detailed insight into the patient‐specific physiological …

Multi-scale simulations of pulmonary airflow based on a coupled 3D-1D-0D model

F Jiang, T Hirano, C Liang, G Zhang… - Computers in Biology …, 2024 - Elsevier
Pulmonary airflow simulation is a valuable tool for studying respiratory function and disease.
However, the respiratory system is a complex multiscale system that involves various …

An algebraic multiscale method for spatial network models

M Hauck, R Maier, A Målqvist - arXiv preprint arXiv:2312.09752, 2023 - arxiv.org
In this work, we present a multiscale approach for the reliable coarse-scale approximation of
spatial network models represented by a linear system of equations with respect to the …

Development and testing of hybrid (PNM–CFD) mathematical model and numerical algorithm for description of fluid flows in three-dimensional digital core models

SA Filimonov, AA Gavrilov, KA Lukyanenko… - … Research and Design, 2024 - Elsevier
Numerical simulation of fluid flow in porous and fractured rocks is an important task for many
industrial applications. The most common approaches to constructing such models are …

Numerical simulation and fast method for the 0D‐1D multi‐scale coupled model and its application in ischemic brain tissue blood flow problems

Y Liu, J Jia, F Zeng, X Jiang - International Journal for …, 2024 - Wiley Online Library
As living standards rise, more and more people are paying attention to their own health,
especially issues such as cerebral thrombosis, cerebral infarction, and other cerebral blood …

Well-posedness and finite element approximation of mixed dimensional partial differential equations

F Hellman, A Målqvist, M Mosquera - BIT Numerical Mathematics, 2024 - Springer
In this article, a mixed dimensional elliptic partial differential equation is considered, posed
in a bulk domain with a large number of embedded interfaces. In particular, well-posedness …

Arbitrary order approximations at constant cost for Timoshenko beam network models

M Hauck, A Målqvist, A Rupp - arXiv preprint arXiv:2407.14388, 2024 - arxiv.org
This paper considers the numerical solution of Timoshenko beam network models,
comprised of Timoshenko beam equations on each edge of the network, which are coupled …