Research on Specialized Computational Methods for Fluid-Structure Interaction Simulations for Advanced Submarine Technology
Abstract
The principal goals of the project are; The derivation of a uniformly stable boundary element formulations in the equations valid for the whole range of wave numbers k. The formulation should be compatible with the the C(O) regularity assumption for finite element approximations of the structure. The development of C(O) finite element approximations for one-, two-, and three- dimensional geometries. This part of the project included such fundamental issues as the development of new hp finite element data structures and constrained approximations for coupled boundary element/finite element problems. The development of a coupled finite element/boundary element code and the verification of expected rates of convergence. The derivation, implementation, and verification of an a posteriori error estimate for boundary element methods. The development of adaptive strategies. Having obtained a local error estimate, these strategies would provide for reducing mesh size or increasing spectral order so as to achieve a target error with a number of unknowns. The solution of selected problems. These are designed to demonstrate the effectiveness of the methodology on classical benchmark problems and, ultimately, on realistic scattering problems of interest in Naval research. The verification of the applicability of the hp approximation to structural mechanics, including bulky structures such as bulkheads, but also possibly shells, thin beams and plates. The development of a mathematical foundation for transient acoustics, including studying mathematical properties of linear hyperbolic systems associated with transient acoustics, the development of new transient hp-adaptive schemes, the development of high order transient solvers and associated a posteriori error estimates, and associated adaptive strategies.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1992
- Accession Number
- ADA251550
Entities
People
- J. T. Oden