Daniel I. Meiron

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A new and detailed analysis of the basic Uzawa algorithm for decoupling of the pressure and the velocity in the steady and unsteady Stokes operator is presented. The paper focuses on the following new aspects: explicit construction of the Uzawa pressure-operator spectrum for a semiperiodic model problem; general relationship of the convergence rate of the(More)
The Center for Simulating Dynamic Response of Materials at the California Institute of Technology is constructing a virtual shock physics facility for studying the response of various target materials to very strong shocks. The Virtual Test Facility (VTF) is an end-to-end, fully three-dimensional simulation of the detonation of high explosives (HE), shock(More)
A Virtual Test Facility (VTF) for studying the three-dimensional dynamic response of solid materials subject to strong shock and detonation waves has been constructed as part of the research program of the Center for Simulating the Dynamic Response of Materials at the California Institute of Technology. The compressible fluid flow is simulated with a(More)
The fluid-structure interaction simulation of detonation-and shock-wave-loaded fracturing thin-walled structures requires numerical methods that can cope with large deformations as well as topology changes. We present a robust level-set-based approach that integrates a Lagrangian thin shell finite element solver with fracture and fragmentation capabilities(More)
  • E Mckay Hyde, P Bruno, Brent T Fultz, Daniel I Meiron, Niles A, Dave Amundsen +8 others
  • 2002
All Rights Reserved iii For Marie, Cooper and Miriam iv Acknowledgements The deeply enriching experience that I have enjoyed during my years at Caltech is largely due to the individuals that have assisted and influenced me and my work. I would be ungrateful if I did not acknowledge their invaluable contributions. First, I thank my advisor, Professor Oscar(More)
A parallel program archetype aids in the development of reliable, eecient parallel applications with common computation/communication structures by providing stepwise reenement methods and code libraries speciic to the structure. The methods and libraries help in transforming a sequential program into a parallel program via a sequence of reenement steps(More)