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Numerical Simulation and Analysis of Incompressible Newtonian Fluid Flows Using FreeFem++

Journal of Advanced Research in Fluid Mechanics and Thermal Sciences
Volume 26 No. 1, October 2016, Pages 1-19

K. R. Mahmud1,*, M. M. Rhaman2, A. K. Al Azad1
1Department of Computer Science and Engineering, Faculty of School of Science and Engineering, University of Liberal Arts Bangladesh, Dhaka-1209, Bangladesh
2Department of Mathematics, Faculty of Science & Information Technology, American International University-Bangladesh, Dhaka-1213, Bangladesh
*Corresponding author: raqib.mahmud@ulab.edu.bd

KEYWORDS

Navier-Stokes equations, Newtonian fluids, incompressible flows, pulsatile flow, finite element method, FreeFem++

ABSTRACT

We present the analysis and numerical simulations of incompressible Newtonian fluids for unsteady flows in a straight pipe and in deformed pipe with concave and convex deformation of the upper wall. An approach of modeling of blood flow is considered with an unsteady Navier-Stokes problem with a pulsatile flow for which we can establish analogy with existing cardio vascular systems. We apply the Finite Element Methods to obtain solutions and analyze the evolution of the flow over time. For the numerical simulations of fluid flows in complex geometries, FreeFem++ based on finite element method is used and we analyze the behavior of velocity and pressure qualitatively along time.

CITE THIS ARTICLE

MLA
Mahmud, K. R., et al. “Numerical Simulation and Analysis of Incompressible Newtonian Fluid Flows Using FreeFem++.” Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 26.1 (2016): 1-19.

APA
Mahmud, K. R., Rhaman, M. M., & Al Azad, A. K. (2016). Numerical Simulation and Analysis of Incompressible Newtonian Fluid Flows Using FreeFem++. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 26(1), 1-19.

Chicago
Mahmud, K. R., M. M. Rhaman, and A. K. Al Azad. “Numerical Simulation and Analysis of Incompressible Newtonian Fluid Flows Using FreeFem++.” Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 26, no. 1 (2016): 1-19.

Harvard
Mahmud, K.R., Rhaman, M.M. and Al Azad, A.K., 2016. Numerical Simulation and Analysis of Incompressible Newtonian Fluid Flows Using FreeFem++. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 26(1), pp.1-19.

Vancouver
Mahmud, KR, Rhaman, MM, Al Azad, AK. Numerical Simulation and Analysis of Incompressible Newtonian Fluid Flows Using FreeFem++. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences. 2016;26(1):1-19.

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