source: doc/papers/llheap/AMA-stix_New/ama/wileyNJD-AMA.bbl @ 9398177

\begin{thebibliography}{10}
\providecommand \doibase [0]{http://dx.doi.org/}%

\bibitem{Hirt1974}
Hirt C, Amsden A, Cook J. An arbitrary {L}agrangian-{E}ulerian computing method
  for all flow speeds. {\it J {C}omput {P}hys} 1974\string; 14(3)\string:
  227--253.

\bibitem{Liska2010}
Liska R, Shashkov M, Vachal P, Wendroff B. Optimization-based synchronized
  flux-corrected conservative interpolation (remapping) of mass and momentum
  for arbitrary {L}agrangian-{E}ulerian methods. {\it J {C}omput {P}hys}
  2010\string; 229(5)\string: 1467--1497.

\bibitem{Taylor1937}
Taylor G, Green A. Mechanism of the production of small eddies from large ones.
  {\it P {R}oy {S}oc {L}ond {A} {M}at} 1937\string; 158(895)\string: 499--521.
\newblock \url{https://doi.org/10.1098/rspa.1937.0036},
  \url{http://rspa.royalsocietypublishing.org/content/158/895/499}.

\bibitem{Knupp1999}
Knupp P. Winslow smoothing on two-dimensional unstructured meshes. {\it Eng
  {C}omput} 1999\string; 15\string: 263--268.

\bibitem{Kamm2000}
Kamm J. Evaluation of the {S}edov-von {N}eumann-{T}aylor blast wave solution.
  Tech. Rep. Technical {R}eport LA-UR-00-6055, Los {A}lamos {N}ational
  {L}aboratory; The address:   2000.

\bibitem{Kucharik2003}
Kucharik M, Shashkov M, Wendroff B. An efficient linearity-and-bound-preserving
  remapping method. {\it J {C}omput {P}hys} 2003\string; 188(2)\string:
  462--471.

\bibitem{Blanchard2015}
Blanchard G, Loubere R. High-Order {C}onservative {R}emapping with a posteriori
  {MOOD} stabilization on polygonal meshes. Details on how published;  2015.
\newblock \url{https://hal.archives-ouvertes.fr/hal-01207156}, the {HAL} {O}pen
  {A}rchive, hal-01207156. Accessed January 13, 2016.

\bibitem{Burton2013}
Burton D, Kenamond M, Morgan N, Carney T, Shashkov M. An intersection based
  {ALE} scheme {(xALE)} for cell centered hydrodynamics {(CCH)}. In: Talk at
  {M}ultimat 2013, {I}nternational {C}onference on {N}umerical {M}ethods for
  {M}ulti-{M}aterial {F}luid {F}lows. The Organization. ; September 2--6, 2013;
  San {F}rancisco.
\newblock LA-UR-13-26756.2.

\bibitem{Berndt2011}
Berndt M, Breil J, Galera S, Kucharik M, Maire P, Shashkov M. Two-step hybrid
  conservative remapping for multimaterial arbitrary {L}agrangian-{E}ulerian
  methods. {\it J {C}omput {P}hys} 2011\string; 230(17)\string: 6664--6687.

\bibitem{Kucharik2012}
Kucharik M, Shashkov M. One-step hybrid remapping algorithm for multi-material
  arbitrary {L}agrangian-{E}ulerian methods. {\it J {C}omput {P}hys}
  2012\string; 231(7)\string: 2851--2864.

\bibitem{Breil2015}
Breil J, Alcin H, Maire P. A swept intersection-based remapping method for
  axisymmetric {ReALE} computation. {\it Int {J} {N}umer {M}eth {F}l}
  2015\string; 77(11)\string: 694--706.
\newblock Fld.3996.

\bibitem{Barth1997}
Barth T. Numerical methods for gasdynamic systems on unstructured meshes. In:
  Kroner D, Rohde C, Ohlberger M. \kern-2pt, eds. {\it An {I}ntroduction to
  {R}ecent {D}evelopments in {T}heory and {N}umerics for {C}onservation {L}aws,
  {P}roceedings of the {I}nternational {S}chool on {T}heory and {N}umerics for
  {C}onservation {L}aws}Lecture {N}otes in {C}omputational {S}cience and
  {E}ngineering. Berlin: Springer.  1997.
\newblock ISBN 3-540-65081-4.

\bibitem{Lauritzen2011}
Lauritzen P, Erath C, Mittal R. On simplifying `incremental remap'-based
  transport schemes. {\it J {C}omput {P}hys} 2011\string; 230(22)\string:
  7957--7963.

\bibitem{Klima2017}
Klima M, Kucharik M, Shashkov M. Local error analysis and comparison of the
  swept- and intersection-based remapping methods. {\it Commun {C}omput {P}hys}
  2017\string; 21(2)\string: 526--558.

\bibitem{Dukowicz2000}
Dukowicz J, Baumgardner J. Incremental remapping as a transport/advection
  algorithm. {\it J {C}omput {P}hys} 2000\string; 160(1)\string: 318--335.

\bibitem{Kucharik2011}
Kucharik M, Shashkov M. Flux-based approach for conservative remap of
  multi-material quantities in {2D} arbitrary {L}agrangian-{E}ulerian
  simulations. In:  Fo\v{r}t J, F{\"{u}}rst J, Halama J, Herbin R, Hubert F.
  \kern-2pt, eds. {\it Finite {V}olumes for {C}omplex {A}pplications {VI}
  {P}roblems \& {P}erspectives}. 1 of {\it Springer {P}roceedings in
  {M}athematics}. Springer.  2011 (pp. 623--631).

\bibitem{Kucharik2014}
Kucharik M, Shashkov M. Conservative multi-material remap for staggered
  multi-material arbitrary {L}agrangian-{E}ulerian methods. {\it J {C}omput
  {P}hys} 2014\string; 258\string: 268--304.

\bibitem{Loubere2005}
Loubere R, Shashkov M. A subcell remapping method on staggered polygonal grids
  for arbitrary-{L}agrangian-{E}ulerian methods. {\it J {C}omput {P}hys}
  2005\string; 209(1)\string: 105--138.

\bibitem{Caramana1998}
Caramana E, Shashkov M. Elimination of artificial grid distortion and
  hourglass-type motions by means of {L}agrangian subzonal masses and
  pressures. {\it J {C}omput {P}hys} 1998\string; 142(2)\string: 521--561.

\bibitem{Hoch2009}
Hoch P. An arbitrary {L}agrangian-{E}ulerian strategy to solve compressible
  fluid flows. Tech. Rep. Technical {R}eport, CEA; The address:   2009.
\newblock HAL: hal-00366858.
  https://hal.archives-ouvertes.fr/docs/00/36/68/58/PDF/ale2d.pdf. Accessed
  January 13, 2016.

\bibitem{Shashkov1996}
Shashkov M. {\it Conservative {F}inite-{D}ifference {M}ethods on {G}eneral
  {G}rids}.
\newblock Boca Raton, Florida: CRC {P}ress .
\newblock 1996.
\newblock ISBN 0-8493-7375-1.

\bibitem{Benson1992}
Benson D. Computational methods in {L}agrangian and {E}ulerian hydrocodes. {\it
  Comput {M}ethod {A}ppl {M}} 1992\string; 99(2--3)\string: 235--394.

\bibitem{Margolin2003}
Margolin L, Shashkov M. Second-order sign-preserving conservative interpolation
  (remapping) on general grids. {\it J {C}omput {P}hys} 2003\string;
  184(1)\string: 266--298.

\bibitem{Kenamond2013}
Kenamond M, Burton D. Exact intersection remapping of multi-material
  domain-decomposed polygonal meshes. In: Talk at {M}ultimat 2013,
  {I}nternational {C}onference on {N}umerical {M}ethods for {M}ulti-{M}aterial
  {F}luid {F}lows. The organization. ; September 2--6, 2013; San {F}rancisco.
\newblock LA-UR-13-26794.

\bibitem{Dukowicz1984}
Dukowicz J. Conservative rezoning (remapping) for general quadrilateral meshes.
  {\it J {C}omput {P}hys} 1984\string; 54(3)\string: 411--424.

\bibitem{Margolin2002}
Margolin L, Shashkov M. Second-order sign-preserving remapping on general
  grids. Tech. Rep. Technical Report LA-UR-02-525, Los {A}lamos {N}ational
  {L}aboratory; The address:   2002.

\bibitem{Mavriplis2003}
Mavriplis D. Revisiting the least-squares procedure for gradient reconstruction
  on unstructured meshes. In: AIAA 2003-3986. 16th {AIAA} {C}omputational
  {F}luid {D}ynamics {C}onference. The organization. ; June 23--26, 2003;
  Orlando, {F}lorida.

\bibitem{Scovazzi2008}
Scovazzi G, Love E, Shashkov M. Multi-scale {L}agrangian shock hydrodynamics on
  {Q1/P0} finite elements: {T}heoretical framework and two-dimensional
  computations. {\it Comput {M}ethod {A}ppl {M}} 2008\string;
  197(9--12)\string: 1056--1079.

\end{thebibliography}