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Least-Squares Finite Element Formulation for Fluid-Structure Interaction
Hardcover
Technology & EngineeringGeneral Mathematics
ISBN13: 9781025132693
Publisher: Hutson Street Press
Published: May 22 2025
Pages: 278
Weight: 1.25
Height: 0.69 Width: 6.14 Depth: 9.21
Language: English
Fluid-structure interaction problems prove difficult due to the coupling between fluid and solid behavior. Typically, different theoretical formulations and numerical methods are used to solve fluid and structural problems separately. The leastsquares finite element method is capable of accurately solving both fluid and structural problems. This capability allows for a simultaneously coupled fluid structure interaction formulation using a single variational approach to solve complex and nonlinear aeroelasticity problems. The least-squares finite element method was compared to commonly used methods for both structures and fluids individually. The fluid analysis was compared to finite differencing methods and the structural analysis type compared to traditional Weak Galerkin finite element methods. The simultaneous solution method was then applied to aeroelasticity problems with a known solution. Achieving these results required unique iterative methods to balance each domain's or differential equation's weighting factor within the simultaneous solution scheme. The scheme required more computational time but it did provide the first hands-off method capable of solving complex fluid-structure interaction problems using a simultaneous least-squares formulation. A sequential scheme was also examined for coupled problems.
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Least-Squares Finite Element Formulation for Fluid-Structure Interaction
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Rasmussen, Cody C.
Least-Squares Finite Element Formulation for Fluid-Structure Interaction
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