Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Solution of linear systems in arterial fluid mechanics computations with boundary layer mesh refinement
Date
2010-06-01
Author
Manguoğlu, Murat
Sameh, Ahmed H.
Tezduyar, Tayfun E.
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
195
views
0
downloads
Cite This
Computation of incompressible flows in arterial fluid mechanics, especially because it involves fluid-structure interaction, poses significant numerical challenges. Iterative solution of the fluid mechanics part of the equation systems involved is one of those challenges, and we address that in this paper, with the added complication of having boundary layer mesh refinement with thin layers of elements near the arterial wall. As test case, we use matrix data from stabilized finite element computation of a bifurcating middle cerebral artery segment with aneurysm. It is well known that solving linear systems that arise in incompressible flow computations consume most of the time required by such simulations. For solving these large sparse nonsymmetric systems, we present effective preconditioning techniques appropriate for different stages of the computation over a cardiac cycle.
Subject Keywords
Mechanical Engineering
,
Computational Theory and Mathematics
,
Applied Mathematics
,
Ocean Engineering
,
Computational Mathematics
URI
https://hdl.handle.net/11511/40626
Journal
COMPUTATIONAL MECHANICS
DOI
https://doi.org/10.1007/s00466-009-0426-z
Collections
Department of Computer Engineering, Article
Suggestions
OpenMETU
Core
Characterization of fracture processes by continuum and discrete modelling
KALISKE, M.; Dal, Hüsnü; FLEISCHHAUER, R.; JENKEL, C.; NETZKER, C. (Springer Science and Business Media LLC, 2012-09-01)
A large number of methods to describe fracture mechanical features of structures on basis of computational algorithms have been developed in the past due to the importance of the topic. In this paper, current and promising numerical approaches for the characterization of fracture processes are presented. A fracture phenomenon can either be depicted by a continuum formulation or a discrete notch. Thus, starting point of the description is a micromechanically motivated formulation for the development of a loc...
Modeling of dislocation-grain boundary interactions in a strain gradient crystal plasticity framework
ÖZDEMİR, İZZET; Yalçınkaya, Tuncay (Springer Science and Business Media LLC, 2014-08-01)
This paper focuses on the continuum scale modeling of dislocation-grain boundary interactions and enriches a particular strain gradient crystal plasticity formulation (convex counter-part of Yal double dagger inkaya et al., J Mech Phys Solids 59:1-17, 2011; Int J Solids Struct 49:2625-2636, 2012) by incorporating explicitly the effect of grain boundaries on the plastic slip evolution. Within the framework of continuum thermodynamics, a consistent extension of the model is presented and a potential type non-...
Solution of magnetohydrodynamic flow problems using the boundary element method
Tezer, Münevver (Elsevier BV, 2006-05-01)
A boundary element solution is implemented for magnetohydrodynamic (MHD) flow problem in ducts with several geometrical cross-section with insulating walls when a uniform magnetic field is imposed perpendicular to the flow direction. The coupled velocity and induced magnetic field equations are first transformed into uncoupled inhomogeneous convection-diffusion type equations. After introducing particular solutions, only the homogeneous equations are solved by using boundary element method (BEM). The fundam...
Finite element study of biomagnetic fluid flow in a symmetrically stenosed channel
Turk, O.; Tezer, Münevver; Bozkaya, Canan (Elsevier BV, 2014-03-15)
The two-dimensional unsteady, laminar flow of a viscous, Newtonian, incompressible and electrically conducting biofluid in a channel with a stenosis, under the influence of a spatially varying magnetic field, is considered. The mathematical modeling of the problem results in a coupled nonlinear system of equations and is given in stream function-vorticity-temperature formulation for the numerical treatment. These equations together with their appropriate boundary conditions are solved iteratively using the ...
The boundary element solution of the magnetohydrodynamic flow in an infinite region
Tezer, Münevver; Bozkaya, Canan (Elsevier BV, 2009-03-15)
We consider the magnetohydrodynamic (MHD) flow which is laminar, steady and incompressible, of a viscous and electrically conducting fluid on the half plane (y >= 0). The boundary y = 0 is partly insulated and partly perfectly conducting. An external circuit is connected so that current enters the fluid at discontinuity points through external circuits and moves up on the plane. The flow is driven by the interaction of imposed electric currents and a uniform, transverse magnetic field applied perpendicular ...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
M. Manguoğlu, A. H. Sameh, and T. E. Tezduyar, “Solution of linear systems in arterial fluid mechanics computations with boundary layer mesh refinement,”
COMPUTATIONAL MECHANICS
, pp. 83–89, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/40626.