High-order curvilinear finite elements for axisymmetric Lagrangian hydrodynamics

Dobrev, Veselin A.; Ellis, Truman E.; Kolev, Tzanio V.; Rieben, Robert N.

doi:10.1016/j.compfluid.2012.06.004

Title: High-order curvilinear finite elements for axisymmetric Lagrangian hydrodynamics

Journal Article · Mon Jun 18 00:00:00 EDT 2012 · Computers and Fluids

DOI:https://doi.org/10.1016/j.compfluid.2012.06.004· OSTI ID:1226953

Dobrev, Veselin A.; Ellis, Truman E.; Kolev, Tzanio V.; Rieben, Robert N.

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Research Organization:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE

DOE Contract Number:: AC52-07NA27344

OSTI ID:: 1226953

Report Number(s):: LLNL-JRNL-521372

Journal Information:: Computers and Fluids, Vol. 83, Issue C; ISSN 0045-7930

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

References (15)

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Algebraic Limitations on Two-Dimensional Hydrodynamics Simulations Whalen, Paul P. Journal of Computational Physics, Vol. 124, Issue 1 https://doi.org/10.1006/jcph.1996.0043	journal	March 1996
The Construction of Compatible Hydrodynamics Algorithms Utilizing Conservation of Total Energy Caramana, E. J.; Burton, D. E.; Shashkov, M. J. Journal of Computational Physics, Vol. 146, Issue 1 https://doi.org/10.1006/jcph.1998.6029	journal	October 1998
Using a Curvilinear Grid to Construct Symmetry-Preserving Discretizations for Lagrangian Gas Dynamics Margolin, Len; Shashkov, Mikhail Journal of Computational Physics, Vol. 149, Issue 2 https://doi.org/10.1006/jcph.1998.6161	journal	March 1999
A compatible finite element multi-material ALE hydrodynamics algorithm Barlow, A. J. International Journal for Numerical Methods in Fluids, Vol. 56, Issue 8 https://doi.org/10.1002/fld.1593	journal	January 2008
Stabilized shock hydrodynamics: I. A Lagrangian method Scovazzi, G.; Christon, M. A.; Hughes, T. J. R. Computer Methods in Applied Mechanics and Engineering, Vol. 196, Issue 4-6 https://doi.org/10.1016/j.cma.2006.08.008	journal	January 2007
Multi-scale Lagrangian shock hydrodynamics on Q1/P0 finite elements: Theoretical framework and two-dimensional computations Scovazzi, G.; Love, E.; Shashkov, M. J. Computer Methods in Applied Mechanics and Engineering, Vol. 197, Issue 9-12 https://doi.org/10.1016/j.cma.2007.10.002	journal	February 2008
A framework for developing a mimetic tensor artificial viscosity for Lagrangian hydrocodes on arbitrary polygonal meshes Lipnikov, K.; Shashkov, M. Journal of Computational Physics, Vol. 229, Issue 20 https://doi.org/10.1016/j.jcp.2010.06.045	journal	October 2010
A one-point integration quadrilateral with hourglass control in axisymmetric geometry Matejovič, P.; Adamík, V. Computer Methods in Applied Mechanics and Engineering, Vol. 70, Issue 3 https://doi.org/10.1016/0045-7825(88)90022-9	journal	October 1988
Quadrilateral with high coarse-mesh accuracy for solid mechanics in axisymmetric geometry Matejovič, P. Computer Methods in Applied Mechanics and Engineering, Vol. 88, Issue 2 https://doi.org/10.1016/0045-7825(91)90257-7	journal	July 1991
A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes Maire, Pierre-Henri Journal of Computational Physics, Vol. 228, Issue 7 https://doi.org/10.1016/j.jcp.2008.12.007	journal	April 2009
A high-order cell-centered Lagrangian scheme for compressible fluid flows in two-dimensional cylindrical geometry Maire, Pierre-Henri Journal of Computational Physics, Vol. 228, Issue 18 https://doi.org/10.1016/j.jcp.2009.06.018	journal	October 2009
Elimination of Artificial Grid Distortion and Hourglass-Type Motions by Means of Lagrangian Subzonal Masses and Pressures Caramana, E. J.; Shashkov, M. J. Journal of Computational Physics, Vol. 142, Issue 2 https://doi.org/10.1006/jcph.1998.5952	journal	May 1998
Vorticity errors in multidimensional lagrangian codes Dukowicz, John K.; Meltz, Bertrand J. A. Journal of Computational Physics, Vol. 99, Issue 1 https://doi.org/10.1016/0021-9991(92)90280-C	journal	March 1992
A two-dimensional unstructured cell-centered multi-material ALE scheme using VOF interface reconstruction Galera, Stéphane; Maire, Pierre-Henri; Breil, Jérôme Journal of Computational Physics, Vol. 229, Issue 16 https://doi.org/10.1016/j.jcp.2010.04.019	journal	August 2010

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