The modified Fluid Particle Model for non-linear Casson fluid and its parallel distributed implementation

The classical Fluid Particle Model (FPM), invented by Español, has been designed to simulate linear Newton fluid flow. We will present a modification of the FPM that allows to simulate flows for a class of fluids described by a non-linear constitutive equation. The inter-particle interaction paramet...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering Vol. 194; no. 42; pp. 4386 - 4410
Main Authors: Paszyński, M., Schaefer, R.
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 01.10.2005
Elsevier
Subjects:
Blood flow simulation
Computational techniques
Exact sciences and technology
Fluid dynamics
Fluid Particle Model
Fundamental areas of phenomenology (including applications)
General theory
Mathematical methods in physics
Non-linear flow
Parallel distributed computations
Physics
Successive linear approximation
Parallel distributed computations
Successive linear approximation
Non-linear flow
Blood flow simulation
Fluid Particle Model
Constitutive equation
Particle models
Experimental study
Parallel algorithms
Arteries
Blood flow
Variable viscosity
Wide band signal
Linear flow
Blood circulation
Linear approximation
Successive linear approximation: Non-linear flow
Parallel computation
Modelling
Circulatory system
Man
Non linear effect
ISSN:0045-7825, 1879-2138
Online Access:Get full text
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Summary:The classical Fluid Particle Model (FPM), invented by Español, has been designed to simulate linear Newton fluid flow. We will present a modification of the FPM that allows to simulate flows for a class of fluids described by a non-linear constitutive equation. The inter-particle interaction parameters are adjusted for the locally variable viscosity. The method has been applied to simulate the blood flow in arteries, with a focus on capturing the pulse wave propagation. The blood has been modeled by the non-linear Casson law. Numerical results compare favorably with experimental data for the carotid artery. Details of a parallel implementation of the algorithm will also be presented.
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ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2004.11.008