Generalized Noh self-similar solutions of the compressible Euler equations for hydrocode verification

Velikovich, A. L.; Giuliani, J. L.; Zalesak, S. T.

doi:10.1016/j.jcp.2018.07.054

Title: Generalized Noh self-similar solutions of the compressible Euler equations for hydrocode verification

Journal Article · 30 November 2018 · Journal of Computational Physics

DOI: https://doi.org/10.1016/j.jcp.2018.07.054 · OSTI ID:1773941

Velikovich, A. L.; Giuliani, J. L.; Zalesak, S. T.

Not Available

View Journal Article

Cite

Export

Save

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

OSTI ID:: 1773941

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: C Vol. 374; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (25)

Computational Methods for Self-similar Solutions of the Compressible Euler Equations Samtaney, Ravi Journal of Computational Physics, Vol. 132, Issue 2 https://doi.org/10.1006/jcph.1996.5639	journal	April 1997
Solution of the Noh problem using the universal symmetry of the gas dynamics equations Ramsey, S. D.; Boyd, Z. M.; Burnett, S. C. Shock Waves, Vol. 27, Issue 3 https://doi.org/10.1007/s00193-016-0670-z	journal	July 2016
Noh's constant-velocity shock problem revisited Gehmeyr, M.; Cheng, B.; Mihalas, D. Shock Waves, Vol. 7, Issue 5 https://doi.org/10.1007/s001930050081	journal	October 1997
A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws Sod, Gary A. Journal of Computational Physics, Vol. 27, Issue 1 https://doi.org/10.1016/0021-9991(78)90023-2	journal	April 1978
Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method van Leer, Bram Journal of Computational Physics, Vol. 32, Issue 1 https://doi.org/10.1016/0021-9991(79)90145-1	journal	July 1979
Efficient solution algorithms for the Riemann problem for real gases Colella, Phillip; Glaz, Harland M. Journal of Computational Physics, Vol. 59, Issue 2 https://doi.org/10.1016/0021-9991(85)90146-9	journal	June 1985
Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux Noh, W. F. Journal of Computational Physics, Vol. 72, Issue 1 https://doi.org/10.1016/0021-9991(87)90074-X	journal	September 1987
Review of code and solution verification procedures for computational simulation Roy, Christopher J. Journal of Computational Physics, Vol. 205, Issue 1 https://doi.org/10.1016/j.jcp.2004.10.036	journal	May 2005
Rarefaction shock wave near the critical liquid–vapour point Borisov, A. A.; Borisov, Al. A.; Kutateladze, S. S. Journal of Fluid Mechanics, Vol. 126 https://doi.org/10.1017/S002211208300004X	journal	January 1983
Annular self-similar solutions in ideal magnetogasdynamics Lock, R. M.; Mestel, A. J. Journal of Plasma Physics, Vol. 74, Issue 4 https://doi.org/10.1017/S0022377808007101	journal	August 2008
Solutions of the Noh problem for various equations of state using LIE groups Axford, Roy A. Laser and Particle Beams, Vol. 18, Issue 1 https://doi.org/10.1017/S026303460018111X	journal	January 2000
Kinetic simulations of a deuterium-tritium Z pinch with >10 ¹⁶ neutron yield Welch, D. R.; Rose, D. V.; Thoma, C. Physics of Plasmas, Vol. 18, Issue 5 https://doi.org/10.1063/1.3562536	journal	May 2011
Bounce-free spherical hydrodynamic implosion Kagan, Grigory; Tang, Xian-Zhu; Hsu, Scott C. Physics of Plasmas, Vol. 18, Issue 12 https://doi.org/10.1063/1.3671949	journal	December 2011
Exact self-similar solutions for the magnetized Noh Z pinch problem Velikovich, A. L.; Giuliani, J. L.; Zalesak, S. T. Physics of Plasmas, Vol. 19, Issue 1 https://doi.org/10.1063/1.3678213	journal	January 2012
Application of one-dimensional stagnation solutions to three-dimensional simulation of compact wire array in absence of radiation Yu, Edmund P.; Velikovich, A. L.; Maron, Y. Physics of Plasmas, Vol. 21, Issue 8 https://doi.org/10.1063/1.4891844	journal	August 2014
Stability of stagnation via an expanding accretion shock wave Velikovich, A. L.; Murakami, M.; Taylor, B. D. Physics of Plasmas, Vol. 23, Issue 5 https://doi.org/10.1063/1.4948492	journal	May 2016
Self‐similar solutions for the supersonic implosion of a screw‐pinch plasma Venkatesan, R. C.; Choe, W. H. Physics of Fluids B: Plasma Physics, Vol. 4, Issue 6 https://doi.org/10.1063/1.860062	journal	June 1992
The Guderley problem revisited Ramsey, Scott D.; Kamm, James R.; Bolstad, John H. International Journal of Computational Fluid Dynamics, Vol. 26, Issue 2 https://doi.org/10.1080/10618562.2011.647768	journal	February 2012
Self-similar motions in Z-pinch dynamics Liberman, M. A.; Velikovich, A. L. Nuclear Fusion, Vol. 26, Issue 6 https://doi.org/10.1088/0029-5515/26/6/002	journal	June 1986
Some general implicit processes for the numerical solution of differential equations Rosenbrock, H. H. The Computer Journal, Vol. 5, Issue 4 https://doi.org/10.1093/comjnl/5.4.329	journal	April 1963
The formation of a blast wave by a very intense explosion I. Theoretical discussion Taylor, Geoffrey Ingram Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 201, Issue 1065, p. 159-174 https://doi.org/10.1098/rspa.1950.0049	journal	March 1950
Spontaneous acoustic emission of a corrugated shock wave in the presence of a reflecting surface Wouchuk, J. G.; López Cavada, J. Physical Review E, Vol. 70, Issue 4 https://doi.org/10.1103/PhysRevE.70.046303	journal	October 2004
Theory of the corrugation instability of a piston-driven shock wave Bates, J. W. Physical Review E, Vol. 91, Issue 1 https://doi.org/10.1103/PhysRevE.91.013014	journal	January 2015
Two-dimensional implosion simulations with a kinetic particle code Sagert, I.; Even, W. P.; Strother, T. T. Physical Review E, Vol. 95, Issue 5 https://doi.org/10.1103/PhysRevE.95.053206	journal	May 2017
Self-Similar Solutions for Converging Shocks and Collapsing Cavities Lazarus, Roger B. SIAM Journal on Numerical Analysis, Vol. 18, Issue 2 https://doi.org/10.1137/0718022	journal	April 1981

Similar Records

Computational methods for self-similar solutions of the compressible Euler equations

Journal Article · 1997 · Journal of Computational Physics · OSTI ID:535417

Samtaney, R

Journal Article · 2026 · Discrete and Continuous Dynamical Systems · OSTI ID:3484800

Luong, Jack Q.; Ramsey, Scott D.; Bertozzi, Andrea L.; +1 more

Exact Self-Similar Solutions for the Magnetized Noh Z Pinch Problem.

Journal Article · 2011 · Journal of Plasma Physics · OSTI ID:1078818

Gardiner, Thomas Anthony; Velokovich, A. L.; Giuliani, J. L.; +2 more

Title: Generalized Noh self-similar solutions of the compressible Euler equations for hydrocode verification

Citation Formats

References (25)

Similar Records

Related Subjects