ON EFFICIENCY OF PARALLEL SOLVERS FOR THE BLOOD FLOW THROUGH AORTIC VALVE

Mathematical modelling of cardiac haemodynamics presents a great challenge to the computational scientists due to numerous numerical issues and required computational resources. In this paper, we study the parallel performance of 3D simulation software for the blood flow through the aortic valve. The fluid flow problem with the open aortic valve leaflets is formulated and solved in parallel. The choice between the segregated and coupled numerical schemes is discussed and investigated. We present and compare the parallel performance results of both types of parallel solvers. We investigate their strong and weak scalability.

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Mechanics of non-Newtonian blood flow in an artery having multiple stenosis and electroosmotic effects

Science Progress ◽

10.1177/00368504211031693 ◽

2021 ◽

Vol 104 (3) ◽

pp. 003685042110316

Author(s):

Salman Akhtar ◽

Luthais B McCash ◽

Sohail Nadeem ◽

Salman Saleem ◽

Alibek Issakhov

Keyword(s):

Blood Flow ◽

Flow Problem ◽

Fluid Model ◽

Casson Fluid ◽

Viscous Effects ◽

Heating Effects ◽

Casson Fluid Model ◽

Flow Through ◽

Mathematical Equations ◽

Mathematica Software

The electro-osmotically modulated hemodynamic across an artery with multiple stenosis is mathematically evaluated. The non-Newtonian behaviour of blood flow is tackled by utilizing Casson fluid model for this flow problem. The blood flow is confined in such arteries due to the presence of stenosis and this theoretical analysis provides the electro-osmotic effects for blood flow through such arteries. The mathematical equations that govern this flow problem are converted into their dimensionless form by using appropriate transformations and then exact mathematical computations are performed by utilizing Mathematica software. The range of the considered parameters is given as [Formula: see text]. The graphical results involve combine study of symmetric and non-symmetric structure for multiple stenosis. Joule heating effects are also incorporated in energy equation together with viscous effects. Streamlines are plotted for electro-kinetic parameter [Formula: see text] and flow rate [Formula: see text]. The trapping declines in size with incrementing [Formula: see text], for symmetric shape of stenosis. But the size of trapping increases for the non-symmetric case.

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Effect of exercise on blood flow through the aortic valve: a combined clinical and numerical study

Computer Methods in Biomechanics & Biomedical Engineering ◽

10.1080/10255842.2013.771179 ◽

2013 ◽

Vol 17 (16) ◽

pp. 1821-1834 ◽

Cited By ~ 9

Author(s):

Hamidreza Ghasemi Bahraseman ◽

Kamran Hassani ◽

Mahdi Navidbakhsh ◽

Daniel M. Espino ◽

Zahra Alizadeh Sani ◽

...

Keyword(s):

Blood Flow ◽

Aortic Valve ◽

Numerical Study ◽

Flow Through

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A PARALLEL SOLVER FOR THE DESIGN OF OIL FILTERS

Mathematical Modelling and Analysis ◽

10.3846/13926292.2011.582591 ◽

2011 ◽

Vol 16 (1) ◽

pp. 326-341 ◽

Cited By ~ 14

Author(s):

Vadimas Starikovičius ◽

Raimondas Čiegis ◽

Oleg Iliev

Keyword(s):

Automotive Industry ◽

Optimization Problem ◽

Optimization Problems ◽

Geometry Optimization ◽

Parallel Optimization ◽

Parallel Solvers ◽

Flow Through ◽

And Performance ◽

Easy Integration ◽

Computational Resources

Nowadays, it is widely recognized that computer simulation plays a crucial role in designing oil filters used in the automotive industry. However, even a single direct simulation of the flow usually requires significant computational resources. Thus, it is obvious that solution of optimization problems is only feasible using parallel computers and algorithms.In this paper, we present a general master-slave parallel template, which was specially designed for the easy integration of direct parallel solvers into a parallel optimization tool. We show how an already existing direct solver for the 3D simulation of flow through the oil filter is integrated into our template to obtain a parallel optimization solver. Some capabilities and performance of this solver are demonstrated by solving geometry optimization problem of a filter element.

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