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- Ralf Deiterding, Raul Radovitzky, Sean Mauch, Ludovic Noels, Julian C. Cummings, Daniel I. Meiron
- Engineering with Computers
- 2006

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)

- Julian C. Cummings, Michael Aivazis, Ravi Samtaney, Raul Radovitzky, Sean Mauch, Daniel I. Meiron
- The Journal of Supercomputing
- 2002

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)

- David J. Haroldsen, Daniel I. Meiron
- SIAM J. Scientific Computing
- 1998

An application of the point vortex method to the singular Biot–Savart integrals used in water wave calculations is presented. The error for this approximation is shown to be a series in odd powers of h. A method for calculating the coefficients in the series is presented.

- Michael Aivazis, William A. Goddard, Daniel I. Meiron, Michael Ortiz, James Pool, Joseph E. Shepherd
- Computing in Science and Engineering
- 2000

Simulation of Dynamic Response in Materials is to construct a virtual test facility (VTF) for computing the 3D response of various target materials under compressive, tensional, and shear loadings, including loadings generated by high explosives. (For information on shock-compression experiments, see the “Shock-compression science” sidebar.) Our objective… (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)

- David J. Hill, D. I. Pullin, Michael Ortiz, Daniel I. Meiron
- J. Comput. Physics
- 2010

We examine the stability to superharmonic disturbances of kite-amplitude twodimensional travelling waves of permanent form in plane Poiseuille flow. The stability characteristics of these flows depend on whether the flux or pressure gradient are held constant. For both conditions we find several Hopf bifurcations on the upper branch of the solution surface… (More)

- P. T. Barton, Ralf Deiterding, Daniel I. Meiron, D. I. Pullin
- J. Comput. Physics
- 2013

Owing to the complex processes involved, faithful prediction of high-velocity impact events demands a simulation method delivering efficient calculations based on comprehensively formulated constitutive models. Such an approach is presented herein, employing a weighted essentially non-oscillatory (WENO) method within an adaptive mesh refinement (AMR)… (More)

- A. López Ortega, M. Lombardini, D. I. Pullin, Daniel I. Meiron
- J. Comput. Physics
- 2014

- Yvon Maday, Daniel I. Meiron, Anthony T. Patera, Einar M. Rønquist
- SIAM J. Scientific Computing
- 1993

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)