A phase-field method applied to interface tracking for blood clot formation.

DOI10.21136/AM.2020.0056-19OpenAlexW3047389066MaRDI QIDQ2200740

Marek Čapek

Publication date: 22 September 2020

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/am.2020.0056-19

zbMATH Keywords

finite element methodfree boundary problemscalabilityfluid dynamicsphase field methodhigh shear rate thrombosisthrombus growth

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Multiphase and multicomponent flows (76T99) Finite element methods applied to problems in fluid mechanics (76M10)

Uses Software

• deal.ii
• PETSc
• Trilinos
• METIS
• FEATFLOW
• p4est
• Intel TBB

Cites Work

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• A free boundary problem modeling thrombus growth. Model development and numerical simulation using the level set method
• Platelet deposition in non-parallel flow
• Solving PDEs in complex geometries: a diffuse domain approach
• Efficient solvers for incompressible flow problems. An algorithmic and computational approach
• The deal.II library, version 9.0
• Level set methods and dynamic implicit surfaces
• Hemomath. The mathematics of blood
• The deal.II library, Version 9.1
• An overview of projection methods for incompressible flows
• Continuous mathematical model of platelet thrombus formation in blood flow
• Mathematical Models for Blood Coagulation
• Numerical Methods for Two-phase Incompressible Flows
• p4est: Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees
• An overview of the Trilinos project
• deal.II—A general-purpose object-oriented finite element library
• A Model Incorporating Some of the Mechanical and Biochemical Factors Underlying Clot Formation and Dissolution in Flowing Blood

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