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Title: Verification assessment of piston boundary conditions for Lagrangian simulation of compressible flow similarity solutions

Journal Article · · Journal of Verification, Validation and Uncertainty Quantification
DOI:https://doi.org/10.1115/1.4030929· OSTI ID:1352360
 [1];  [2];  [3]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Mississippi State Univ., Mississippi State, MS (United States)
  3. Univ. of Maine, Orono, ME (United States)

This work is concerned with the use of similarity solutions of the compressible flow equations as benchmarks or verification test problems for finite-volume compressible flow simulation software. In practice, this effort can be complicated by the infinite spatial/temporal extent of many candidate solutions or “test problems.” Methods can be devised with the intention of ameliorating this inconsistency with the finite nature of computational simulation; the exact strategy will depend on the code and problem archetypes under investigation. For example, self-similar shock wave propagation can be represented in Lagrangian compressible flow simulations as rigid boundary-driven flow, even if no such “piston” is present in the counterpart mathematical similarity solution. The purpose of this work is to investigate in detail the methodology of representing self-similar shock wave propagation as a piston-driven flow in the context of various test problems featuring simple closed-form solutions of infinite spatial/temporal extent. The closed-form solutions allow for the derivation of similarly closed-form piston boundary conditions (BCs) for use in Lagrangian compressible flow solvers. Finally, the consequences of utilizing these BCs (as opposed to directly initializing the self-similar solution in a computational spatial grid) are investigated in terms of common code verification analysis metrics (e.g., shock strength/position errors and global convergence rates).

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1352360
Report Number(s):
LA-UR-15-20171
Journal Information:
Journal of Verification, Validation and Uncertainty Quantification, Vol. 1, Issue 2; ISSN 2377-2158
Publisher:
ASMECopyright Statement
Country of Publication:
United States
Language:
English

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Cited By (1)

A boundary condition for Guderley’s converging shock problem journal December 2019

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