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Simulation of Blood Flow in Deformable Arteries using SPH

Ghods, Sina | 2009

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 39439 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Taghizadeh Manzari, Mehrdad; Kazemzadeh Hannani, Siamak
  7. Abstract:
  8. Since coronary artery diseases are increasing every day, simulation of blood flow in blood vessels and their stenosis is one of the most important topics nowadays. Many efforts have been made to achieve numerical simulations using different methods such as Finite-Difference. In this thesis, an SPH method is used to simulate pulsatile blood flow in arteries. The weakly compressible algorithm consists of two steps of prediction and correction. In the prediction step, the velocity field is integrated forward in time without enforcing incompressibility. The correction step consists of enforcing incompressibility by solving the pressure Poisson equation which creates a trade-off between the pressure and density variations. In order to apply fluid-solid interaction, first the pressure force of each particle is calculated using the pressure of its neighbors, regardless to their types. Then, stress is obtained for each particle according to the constitutive equations of the domain which the particle belongs to, using velocity derivatives. Some benchmark problems are solved to show the ability of this method to solve FSI and the results are compared with those shown in the literature and output of ADINA software
  9. Keywords:
  10. Fluid-Solid Interaction ; Blood Flow ; Pulse Current ; Newtonian Fluid Flow ; Smoothed Particle Hydrodynamics (SPH)

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