Committee Chair

Newman, James C. III

Committee Member

Owino, Joseph; Sreenivas, Kidambi; Wu, Weidong

Department

Dept. of Civil and Chemical Engineering

College

College of Engineering and Computer Science

Publisher

University of Tennessee at Chattanooga

Place of Publication

Chattanooga (Tenn.)

Abstract

In many civil engineering applications the interaction between fluid and structures represents a crucial aspect for analysis and proper design. The simulation of this phenomenon requires the application of high-fidelity numerical methods. In the current work, the fluid and structural equations both utilize the same multistep or multistage schemes for temporal advancement. This requires the structural equations to be recast in state-space form. The implicit time-marching schemes studied in this thesis are limited to the Backward Differentiation Formula (BDF) schemes, Modified Extended-BDF schemes, and a Singly-Diagonal Implicit Runge-Kutta (SDIRK) method. Verification and validation of temporal and spatial order of accuracy are performed using a one-dimensional entropy wave for the fluid dynamics solution algorithm. Several benchmark problems are studied in detail, and results are tabulated and compared. Benchmark examples include the Sod's shock tube problem, a moving cylinder piston configuration, and a fully coupled fluid-structure interaction problem in a mass-spring-damper system.

Degree

M. S.; A thesis submitted to the faculty of the University of Tennessee at Chattanooga in partial fulfillment of the requirements of the degree of Master of Science.

Date

5-2021

Subject

Finite element method; Fluid-structure interaction; Mathematical models

Keyword

Finite Element; Fluid-Structure Interaction; Higher Order; Petrov-Galerkin

Document Type

Masters theses

DCMI Type

Text

Extent

xi, 77 leaves

Language

English

Rights

http://rightsstatements.org/vocab/InC/1.0/

License

http://creativecommons.org/licenses/by/4.0/

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