Stabilization of the Coupled Retarded Potential-Finite Element Procedure for Submerged Structural Analysis.
Abstract
A coupled retarded potential-finite element numerical method has been stabilized by removing the time-step stagger in the computations of the coupled parts. This is equivalent to eliminating the dead-time feedback element in a control loop, which is known in control theory to lead in instability. The unstabilized and stabilized coupled procedures are depicted. The test problem studied is a step pressure wave impacting a spherical shell. Displacement and velocity histories are plotted for surface points on the sphere, comparing the stabilized numerical solution, the unstabilized numerical solution, and an established closed-form solution. Keywords: Retarded potential; Coupled field analysis; Finite element; Structural dynamic response; Numerical stability; Dead time feedback; Fluid structure interaction; Control theory; Boundary elements; Staggered solution; Numerical method.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 31, 1986
- Accession Number
- ADA177412
Entities
People
- Martin A. Tamm
Organizations
- United States Naval Research Laboratory