Verification assessment of piston boundary conditions for Lagrangian simulation of compressible flow similarity solutions
Abstract
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 errorsmore »
- Authors:
-
- 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:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1352360
- Report Number(s):
- LA-UR-15-20171
Journal ID: ISSN 2377-2158
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Verification, Validation and Uncertainty Quantification
- Additional Journal Information:
- Journal Volume: 1; Journal Issue: 2; Journal ID: ISSN 2377-2158
- Publisher:
- ASME
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS AND COMPUTING
Citation Formats
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., 2015.
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. https://doi.org/10.1115/1.4030929
Ramsey, Scott D., Ivancic, Philip R., and Lilieholm, Jennifer F. Thu .
"Verification assessment of piston boundary conditions for Lagrangian simulation of compressible flow similarity solutions". United States. https://doi.org/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 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).},
doi = {10.1115/1.4030929},
journal = {Journal of Verification, Validation and Uncertainty Quantification},
number = 2,
volume = 1,
place = {United States},
year = {Thu Dec 10 00:00:00 EST 2015},
month = {Thu Dec 10 00:00:00 EST 2015}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
The Guderley problem revisited
journal, February 2012
- Ramsey, Scott D.; Kamm, James R.; Bolstad, John H.
- International Journal of Computational Fluid Dynamics, Vol. 26, Issue 2
Analytic solutions of hydrodynamics equations
journal, May 1991
- Coggeshall, S. V.
- Physics of Fluids A: Fluid Dynamics, Vol. 3, Issue 5
Verification, validation, and predictive capability in computational engineering and physics
journal, September 2004
- Oberkampf, William L.; Trucano, Timothy G.; Hirsch, Charles
- Applied Mechanics Reviews, Vol. 57, Issue 5
Review of code and solution verification procedures for computational simulation
journal, May 2005
- Roy, Christopher J.
- Journal of Computational Physics, Vol. 205, Issue 1
Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux
journal, September 1987
- Noh, W. F.
- Journal of Computational Physics, Vol. 72, Issue 1
Revisiting Wall Heating
journal, August 2000
- Rider, William J.
- Journal of Computational Physics, Vol. 162, Issue 2
Noh's constant-velocity shock problem revisited
journal, October 1997
- Gehmeyr, M.; Cheng, B.; Mihalas, D.
- Shock Waves, Vol. 7, Issue 5
Self-Similar Solutions for Converging Shocks and Collapsing Cavities
journal, April 1981
- Lazarus, Roger B.
- SIAM Journal on Numerical Analysis, Vol. 18, Issue 2
The Construction of Compatible Hydrodynamics Algorithms Utilizing Conservation of Total Energy
journal, October 1998
- Caramana, E. J.; Burton, D. E.; Shashkov, M. J.
- Journal of Computational Physics, Vol. 146, Issue 1
Formulations of Artificial Viscosity for Multi-dimensional Shock Wave Computations
journal, July 1998
- Caramana, E. J.; Shashkov, M. J.; Whalen, P. P.
- Journal of Computational Physics, Vol. 144, Issue 1
A dissipation model for staggered grid Lagrangian hydrodynamics
journal, August 2013
- Morgan, Nathaniel R.
- Computers & Fluids, Vol. 83
A Lagrangian staggered grid Godunov-like approach for hydrodynamics
journal, February 2014
- Morgan, Nathaniel R.; Lipnikov, Konstantin N.; Burton, Donald E.
- Journal of Computational Physics, Vol. 259
On sub-linear convergence for linearly degenerate waves in capturing schemes
journal, July 2008
- Banks, J. W.; Aslam, T.; Rider, W. J.
- Journal of Computational Physics, Vol. 227, Issue 14
Discrete shock profiles for systems of conservation laws
journal, July 1979
- Majda, Andrew; Ralston, James
- Communications on Pure and Applied Mathematics, Vol. 32, Issue 4
On Postshock Oscillations Due to Shock Capturing Schemes in Unsteady Flows
journal, January 1997
- Arora, Mohit; Roe, Philip L.
- Journal of Computational Physics, Vol. 130, Issue 1
Combined Space and Time Convergence Analysis of a Compressible Flow Algorithm
conference, June 2003
- Kamm, James; Rider, William; Brock, Jerry
- 16th AIAA Computational Fluid Dynamics Conference
On the question of universality of imploding shock waves
journal, August 2008
- Hornung, H. G.; Pullin, D. I.; Ponchaut, N. F.
- Acta Mechanica, Vol. 201, Issue 1-4
Works referencing / citing this record:
A boundary condition for Guderley’s converging shock problem
journal, December 2019
- Ruby, J. J.; Rygg, J. R.; Gaffney, J. A.
- Physics of Fluids, Vol. 31, Issue 12