Numerical investigation of time-integration schemes applicable to fluid-structure interaction

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.

Grantor dc:publisher

University of Tennessee at Chattanooga

Author dc:creator

• Ghasemi, Amirehsan

Contributors dc:contributor

• Newman, James C. III
• Owino, Joseph; Sreenivas, Kidambi; Wu, Weidong
• College of Engineering and Computer Science

• Finite element method
• Fluid-structure interaction
• Mathematical models

Licence

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

Language dc:language

English, eng

Repository record dc:identifier

https://scholar.utc.edu/theses/718

OAI identifier oai:identifier

oai:scholar.utc.edu:theses-1879