Verification assessment of piston boundary conditions for Lagrangian simulation of compressible flow similarity solutions
This work is concerned with the use of similarity solutions of the compressible flow equations as benchmarks or verification test problems for finitevolume 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, selfsimilar shock wave propagation can be represented in Lagrangian compressible flow simulations as rigid boundarydriven 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 selfsimilar shock wave propagation as a pistondriven flow in the context of various test problems featuring simple closedform solutions of infinite spatial/temporal extent. The closedform solutions allow for the derivation of similarly closedform piston boundary conditions (BCs) for use in Lagrangian compressible flow solvers. Finally, the consequences of utilizing these BCs (as opposed to directly initializing the selfsimilar solution in a computational spatial grid) are investigated in terms of common code verification analysis metrics (e.g., shock strength/position errorsmore »
 Authors:

^{[1]};
^{[2]};
^{[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)
 Publication Date:
 Report Number(s):
 LAUR1520171
Journal ID: ISSN 23772158
 Grant/Contract Number:
 AC5206NA25396
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of Verification, Validation and Uncertainty Quantification
 Additional Journal Information:
 Journal Volume: 1; Journal Issue: 2; Journal ID: ISSN 23772158
 Publisher:
 ASME
 Research Org:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS AND COMPUTING
 OSTI Identifier:
 1352360
Ramsey, Scott D., Ivancic, Philip R., and Lilieholm, Jennifer F.. Verification assessment of piston boundary conditions for Lagrangian simulation of compressible flow similarity solutions. United States: N. p.,
Web. doi:10.1115/1.4030929.
Ramsey, Scott D., Ivancic, Philip R., & Lilieholm, Jennifer F.. Verification assessment of piston boundary conditions for Lagrangian simulation of compressible flow similarity solutions. United States. doi:10.1115/1.4030929.
Ramsey, Scott D., Ivancic, Philip R., and Lilieholm, Jennifer F.. 2015.
"Verification assessment of piston boundary conditions for Lagrangian simulation of compressible flow similarity solutions". United States.
doi:10.1115/1.4030929. https://www.osti.gov/servlets/purl/1352360.
@article{osti_1352360,
title = {Verification assessment of piston boundary conditions for Lagrangian simulation of compressible flow similarity solutions},
author = {Ramsey, Scott D. and Ivancic, Philip R. and Lilieholm, Jennifer F.},
abstractNote = {This work is concerned with the use of similarity solutions of the compressible flow equations as benchmarks or verification test problems for finitevolume 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, selfsimilar shock wave propagation can be represented in Lagrangian compressible flow simulations as rigid boundarydriven 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 selfsimilar shock wave propagation as a pistondriven flow in the context of various test problems featuring simple closedform solutions of infinite spatial/temporal extent. The closedform solutions allow for the derivation of similarly closedform piston boundary conditions (BCs) for use in Lagrangian compressible flow solvers. Finally, the consequences of utilizing these BCs (as opposed to directly initializing the selfsimilar 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).},
doi = {10.1115/1.4030929},
journal = {Journal of Verification, Validation and Uncertainty Quantification},
number = 2,
volume = 1,
place = {United States},
year = {2015},
month = {12}
}