Newman, James C. III
Owino, Joseph; Sreenivas, Kidambi; Wu, Weidong
College of Engineering and Computer Science
University of Tennessee at Chattanooga
Place of Publication
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.
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.
Finite element method; Fluid-structure interaction; Mathematical models
xi, 77 leaves
Ghasemi, Amirehsan, "Numerical investigation of time-integration schemes applicable to fluid-structure interaction" (2021). Masters Theses and Doctoral Dissertations.