A novel numerical approach to Fluid-Structure interaction problem

• Author / Creator

  Usubov, Rahim

• This work develops numerical methods (finite difference methods) for equations
  of fluid dynamics and equations of elasticity reformulated in the stress variables
  (as opposed to natural variables) and applies them to the Fluid-Structure Interac-
  tion (FSI) problem using a new model based on the level set method. Equations
  reformulated in stress variables are the stress formulation. Previously some work
  has been done on numerical methods for stress formulation for the Navier-Stokes
  equation. This work extends this research to the equations of elasticity. Additionally
  the current research develops a new model for FSI problems are based on this stress
  formulation and the level set method. Using this model and new numerical method
  for FSI problems is developed with some constraints. Some benchmark results are
  presented.

• Subjects / Keywords

  • Fluid-Structure interaction
  • level set method
  • stress formulation

• Graduation date

  Spring 2022

• Type of Item

  Thesis

• Degree

  Master of Science

• DOI

  https://doi.org/10.7939/r3-05ve-j283

• License

  This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.