Loading...
High-order incompressible Navier-Stokes equations solver for blood flow
Khurshid, Hassan
Khurshid, Hassan
Citations
Altmetric:
Files
Loading...
d12025_Khurshid.pdf
Adobe PDF, 25.54 MB
Authors
Other Names
Location
Time Period
Advisors
Original Date
Digitization Date
Issue Date
2012-07
Type
Dissertation
Genre
Keywords
Subjects (LCSH)
Electronic dissertations
Electronic dissertations
Electronic dissertations
Citation
Abstract
A high-order finite difference solver was written to solve the incompressible Navier-Stokes (NS) equations and was applied to analyze the blood flow. First, a computer code was written to solve incompressible Navier- Stokes equations using the exact projection method/fractional step scheme. A fifth-order weighted essentially nonoscillatory (WENO) spatial operator was applied to the convective terms of Navier-Stokes equations. The diffusion term was solved by using a sixth-order compact central difference scheme. A fractional step scheme in conjunction with the third-order Runge-Kutta total variation diminishing (RK TVD) scheme was used for the time discretization. At this stage, non-Newtonian effects and the pulsatile nature of the flow were not included. The developed Newtonian flow code was tested using benchmark problems for incompressible flow, namely, the driven cavity flow, Couette flow, Taylor-Green vortex problem, double shear layer problem, and skewed cavity flow. The results were compared with existing published experimental data in order to build confidence that the computer code was working properly in the simple blood flow conditions, i.e., as a Newtonian fluid. In the second stage, the backward-facing step was analyzed for Newtonian steady and pulsatile flow, and for non-Newtonian steady and pulsatile flow. The results were compared with experimental data and found to be in agreement. In the third stage, the computer program was extended to three dimensions. Flow through an infinite long pipe and through a 90-degree bend was carried out. The velocity profile in the pipe and at different locations of the bend was obtained, and the numerical values indicate good agreement with analytical and experimental values.
Table of Contents
Description
Thesis (Ph.D.)--Wichita State University, College of Engineering, Dept. of Aerospace Engineering
Publisher
Wichita State University
Journal
Book Title
Series
Digital Collection
Finding Aid URL
Use and Reproduction
© Copyright 2012 by Hassan Khurshid. All Right Reserved