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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
  • 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.