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

Ramsey, Scott D.; Ivancic, Philip R.; Lilieholm, Jennifer F.

doi:10.1115/1.4030929

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

Journal Article · Thu Dec 10 00:00:00 EST 2015 · Journal of Verification, Validation and Uncertainty Quantification

DOI:https://doi.org/10.1115/1.4030929· OSTI ID:1352360

Ramsey, Scott D. ^[1]; Ivancic, Philip R. ^[2]; Lilieholm, Jennifer F. ^[3]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Mississippi State Univ., Mississippi State, MS (United States)
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).

View Accepted Manuscript (DOE)

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, Journal Name: Journal of Verification, Validation and Uncertainty Quantification Journal Issue: 2 Vol. 1; ISSN 2377-2158

Publisher:: ASMECopyright Statement

Country of Publication:: United States

Language:: English

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A boundary condition for Guderley’s converging shock problem Ruby, J. J.; Rygg, J. R.; Gaffney, J. A. Physics of Fluids, Vol. 31, Issue 12 https://doi.org/10.1063/1.5130769	journal	December 2019

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