A Critique of the Sharp Shock Procedure.

R. A. Papetti, R. L. Bjork

Expert InsightsPublished 1971

The usual form of the Particle-In-Cell (PIC) hydrodynamic code is compared with the PIC-SS modification. A one-dimensional excavation problem is presented for purposes of comparison: A slab of material having uniform pressure, density, and specific internal energy moves downward at a constant speed and strikes a half space of stationary material in another constant state at t = 0. At the instant of impact, the upper slab boundary is released and a "time-varying" pressure is imposed on it. Accurate solutions to the problem are obtained and compared with the results of PIC and PIC-SS. In this framework, the applicability of shock-fitting schemes is examined. It is found that the sharp solution requires a number of physical restrictions and leads to a class of problems that would not warrant the use of a PIC computational scheme. 26 pp. Ref. (KB)

Document Details

  • Copyright: RAND Corporation
  • Availability: Web Only
  • Year: 1971
  • Pages: 26
  • Document Number: P-4556

Citation

Chicago Manual of Style

Papetti, R. A. and R. L. Bjork, A Critique of the Sharp Shock Procedure. Santa Monica, CA: RAND Corporation, 1971. https://www.rand.org/pubs/papers/P4556.html.
BibTeX RIS

This publication is part of the RAND paper series. The paper series was a product of RAND from 1948 to 2003 that captured speeches, memorials, and derivative research, usually prepared on authors' own time and meant to be the scholarly or scientific contribution of individual authors to their professional fields. Papers were less formal than reports and did not require rigorous peer review.

This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.

RAND is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.