| [d5ccbe9] | 1 | %==Ref1
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 | 2 | @article{Hirt1974,
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 | 3 |       author = "Hirt, CW and Amsden, AA and Cook, JL",
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 | 4 |        title = "An arbitrary {L}agrangian-{E}ulerian computing method for all flow speeds",
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 | 5 |         year = "1974",
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 | 6 |      journal = "J {C}omput {P}hys",
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 | 7 |       volume = "14",
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 | 8 |       number = "3",
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 | 9 |        pages = "227--253"
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 | 10 | }
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 | 11 | 
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 | 12 | %==Ref2
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 | 13 | @article{Benson1992,
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 | 14 |       author = "Benson, DJ",
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 | 15 |        title = "Computational methods in {L}agrangian and {E}ulerian hydrocodes",
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 | 16 |         year = "1992",
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 | 17 |      journal = "Comput {M}ethod {A}ppl {M}",
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 | 18 |       volume = "99",
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 | 19 |       number = "2--3",
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 | 20 |        pages = "235--394"
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 | 21 | }
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 | 22 | 
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 | 23 | %==Ref3
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 | 24 | @article{Dukowicz1984,
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 | 25 |       author = "Dukowicz, J",
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 | 26 |        title = "Conservative rezoning (remapping) for general quadrilateral meshes",
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 | 27 |         year = "1984",
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 | 28 |      journal = "J {C}omput {P}hys",
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 | 29 |       volume = "54",
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 | 30 |       number = "3",
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 | 31 |        pages = "411--424"
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 | 32 | }
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 | 33 | 
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 | 34 | %==Ref4
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 | 35 | @article{Margolin2003,
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 | 36 |       author = "Margolin, LG and Shashkov, M",
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 | 37 |        title = "Second-order sign-preserving conservative interpolation (remapping) on general grids",
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 | 38 |         year = "2003",
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 | 39 |      journal = "J {C}omput {P}hys",
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 | 40 |       volume = "184",
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 | 41 |       number = "1",
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 | 42 |        pages = "266--298"
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 | 43 | }
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 | 44 | 
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 | 45 | %==Ref5
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 | 46 | @inproceedings{Kenamond2013,
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 | 47 |       author = "Kenamond, MA and Burton, DE",
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 | 48 |        title = "Exact intersection remapping of multi-material domain-decomposed polygonal meshes",
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 | 49 |       series = "Talk at {M}ultimat 2013, {I}nternational {C}onference on {N}umerical {M}ethods for {M}ulti-{M}aterial {F}luid {F}lows",
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 | 50 |      address = "San {F}rancisco",
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 | 51 |         year = "September 2--6, 2013",
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 | 52 |         note = "LA-UR-13-26794"
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 | 53 | }
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 | 54 | 
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 | 55 | %==Ref6
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 | 56 | @inproceedings{Burton2013,
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 | 57 |       author = "Burton, DE and Kenamond, MA and Morgan, NR and Carney, TC and Shashkov, MJ",
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 | 58 |        title = "An intersection based {ALE} scheme {(xALE)} for cell centered hydrodynamics {(CCH)}",
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 | 59 |       series = "Talk at {M}ultimat 2013, {I}nternational {C}onference on {N}umerical {M}ethods for {M}ulti-{M}aterial {F}luid {F}lows",
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 | 60 |      address = "San {F}rancisco",
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 | 61 |         year = "September 2--6, 2013",
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 | 62 |         note = "LA-UR-13-26756.2"
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 | 63 | }
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 | 64 | 
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 | 65 | %==Ref7
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 | 66 | @article{Berndt2011,
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 | 67 |       author = "Berndt, M and Breil, J and Galera, S and Kucharik, M and Maire, PH and Shashkov, M",
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 | 68 |        title = "Two-step hybrid conservative remapping for multimaterial arbitrary {L}agrangian-{E}ulerian methods",
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 | 69 |         year = "2011",
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 | 70 |      journal = "J {C}omput {P}hys",
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 | 71 |       volume = "230",
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 | 72 |       number = "17",
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 | 73 |        pages = "6664--6687"
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 | 74 | }
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 | 75 | 
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 | 76 | %==Ref8
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 | 77 | @article{Kucharik2012,
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 | 78 |       author = "Kucharik, M and Shashkov, M",
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 | 79 |        title = "One-step hybrid remapping algorithm for multi-material arbitrary {L}agrangian-{E}ulerian methods",
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 | 80 |         year = "2012",
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 | 81 |      journal = "J {C}omput {P}hys",
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 | 82 |       volume = "231",
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 | 83 |       number = "7",
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 | 84 |        pages = "2851--2864"
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 | 85 | }
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 | 86 | 
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 | 87 | %==Ref9
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 | 88 | @article{Breil2015,
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 | 89 |       author = "Breil, J and Alcin, H and Maire, PH",
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 | 90 |        title = "A swept intersection-based remapping method for axisymmetric {ReALE} computation",
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 | 91 |         year = "2015",
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 | 92 |      journal = "Int {J} {N}umer {M}eth {F}l",
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 | 93 |       volume = "77",
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 | 94 |       number = "11",
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 | 95 |        pages = "694--706",
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 | 96 |         note = "Fld.3996"
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 | 97 | }
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 | 98 | 
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 | 99 | %==Ref10
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 | 100 | @incollection{Barth1997,
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 | 101 |       author = "Barth, TJ",
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 | 102 |        title = "Numerical methods for gasdynamic systems on unstructured meshes",
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 | 103 |    booktitle = "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",
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 | 104 |       editor = "Kroner, D and Rohde, C and Ohlberger, M",
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 | 105 |      address = "Berlin",
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 | 106 |       series = "Lecture {N}otes in {C}omputational {S}cience and {E}ngineering",
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 | 107 |    publisher = "Springer",
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 | 108 |         year = "1997",
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 | 109 |         note = "ISBN 3-540-65081-4"
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 | 110 | }
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 | 111 | 
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 | 112 | %==Ref11
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 | 113 | @article{Liska2010,
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 | 114 |       author = "Liska, R and Shashkov, M and Vachal, P and Wendroff, B",
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 | 115 |        title = "Optimization-based synchronized flux-corrected conservative interpolation (remapping) of mass and momentum for arbitrary {L}agrangian-{E}ulerian methods",
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 | 116 |         year = "2010",
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 | 117 |      journal = "J {C}omput {P}hys",
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 | 118 |       volume = "229",
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 | 119 |       number = "5",
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 | 120 |        pages = "1467--1497"
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 | 121 | }
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 | 122 | 
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 | 123 | %==Ref12
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 | 124 | @article{Kucharik2003,
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 | 125 |       author = "Kucharik, M and Shashkov, M and Wendroff, B",
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 | 126 |        title = "An efficient linearity-and-bound-preserving remapping method",
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 | 127 |         year = "2003",
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 | 128 |      journal = "J {C}omput {P}hys",
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 | 129 |       volume = "188",
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 | 130 |       number = "2",
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 | 131 |        pages = "462--471"
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 | 132 | }
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 | 133 | 
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 | 134 | %==Ref13
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 | 135 | @misc{Blanchard2015,
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 | 136 |       author = "Blanchard, G and Loubere, R",
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 | 137 |        title = "High-Order {C}onservative {R}emapping with a posteriori {MOOD} stabilization on polygonal meshes",
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 | 138 |         year = "2015",
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 | 139 |         note = "\url{https://hal.archives-ouvertes.fr/hal-01207156}, the {HAL} {O}pen {A}rchive, hal-01207156. Accessed January 13, 2016"
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 | 140 | }
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 | 141 | 
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 | 142 | %==Ref14
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 | 143 | @article{Lauritzen2011,
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 | 144 |       author = "Lauritzen, P and Erath, C and Mittal, R",
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 | 145 |        title = "On simplifying `incremental remap'-based transport schemes",
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 | 146 |         year = "2011",
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 | 147 |      journal = "J {C}omput {P}hys",
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 | 148 |       volume = "230",
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 | 149 |       number = "22",
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 | 150 |        pages = "7957--7963"
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 | 151 | }
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 | 152 | 
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 | 153 | %==Ref15
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 | 154 | @article{Klima2017,
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 | 155 |       author = "Klima, M and Kucharik, M and Shashkov, M",
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 | 156 |        title = "Local error analysis and comparison of the swept- and intersection-based remapping methods",
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 | 157 |         year = "2017",
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 | 158 |      journal = "Commun {C}omput {P}hys",
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 | 159 |       volume = "21",
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 | 160 |       number = "2",
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 | 161 |        pages = "526--558"
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 | 162 | }
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 | 163 | 
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 | 164 | %==Ref16
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 | 165 | @article{Dukowicz2000,
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 | 166 |       author = "Dukowicz, JK and Baumgardner, JR",
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 | 167 |        title = "Incremental remapping as a transport/advection algorithm",
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 | 168 |         year = "2000",
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 | 169 |      journal = "J {C}omput {P}hys",
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 | 170 |       volume = "160",
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 | 171 |       number = "1",
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 | 172 |        pages = "318--335"
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 | 173 | }
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 | 174 | 
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 | 175 | %==Ref17
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 | 176 | @incollection{Kucharik2011,
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 | 177 |       author = "Kucharik, M and Shashkov, M",
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 | 178 |        title = "Flux-based approach for conservative remap of multi-material quantities in {2D} arbitrary {L}agrangian-{E}ulerian simulations",
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 | 179 |    booktitle = "Finite {V}olumes for {C}omplex {A}pplications {VI} {P}roblems \& {P}erspectives",
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 | 180 |       editor = "Fo\v{r}t, J and F{\"{u}}rst, J and Halama, J and Herbin, R and Hubert, F",
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 | 181 |       series = "Springer {P}roceedings in {M}athematics",
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 | 182 |       volume = "1",
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 | 183 |    publisher = "Springer",
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 | 184 |         year = "2011",
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 | 185 |        pages = "623--631"
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 | 186 | }
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 | 187 | 
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 | 188 | %==Ref18
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 | 189 | @article{Kucharik2014,
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 | 190 |       author = "Kucharik, M and Shashkov, M",
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 | 191 |        title = "Conservative multi-material remap for staggered multi-material arbitrary {L}agrangian-{E}ulerian methods",
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 | 192 |         year = "2014",
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 | 193 |      journal = "J {C}omput {P}hys",
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 | 194 |       volume = "258",
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 | 195 |        pages = "268--304"
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 | 196 | }
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 | 197 | 
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 | 198 | %==Ref19
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 | 199 | @article{Loubere2005,
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 | 200 |       author = "Loubere, R and Shashkov, M",
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 | 201 |        title = "A subcell remapping method on staggered polygonal grids for arbitrary-{L}agrangian-{E}ulerian methods",
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 | 202 |         year = "2005",
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 | 203 |      journal = "J {C}omput {P}hys",
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 | 204 |       volume = "209",
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 | 205 |       number = "1",
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 | 206 |        pages = "105--138"
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 | 207 | }
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 | 208 | 
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 | 209 | %==Ref20
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 | 210 | @techreport{Margolin2002,
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 | 211 |       author = "Margolin, LG and Shashkov, M",
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 | 212 |        title = "Second-order sign-preserving remapping on general grids",
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 | 213 |  institution = "Los {A}lamos {N}ational {L}aboratory",
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 | 214 |         year = "2002",
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 | 215 |       number = "Technical Report LA-UR-02-525"
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 | 216 | }
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 | 217 | 
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 | 218 | %==Ref21
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 | 219 | @inproceedings{Mavriplis2003,
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 | 220 |       author = "Mavriplis, DJ",
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 | 221 |        title = "Revisiting the least-squares procedure for gradient reconstruction on unstructured meshes",
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 | 222 |         year = "June 23--26, 2003",
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 | 223 |       series = "AIAA 2003-3986. 16th {AIAA} {C}omputational {F}luid {D}ynamics {C}onference",
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 | 224 |      address = "Orlando, {F}lorida"
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 | 225 | }
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 | 226 | 
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 | 227 | %==Ref22
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 | 228 | @article{Scovazzi2008,
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 | 229 |       author = "Scovazzi, G and Love, E and Shashkov, M",
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 | 230 |        title = "Multi-scale {L}agrangian shock hydrodynamics on {Q1/P0} finite elements: {T}heoretical framework and two-dimensional computations",
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 | 231 |         year = "2008",
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 | 232 |      journal = "Comput {M}ethod {A}ppl {M}",
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 | 233 |       volume = "197",
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 | 234 |       number = "9--12",
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 | 235 |        pages = "1056--1079"
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 | 236 | }
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 | 237 | 
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 | 238 | %==Ref23
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 | 239 | @article{Caramana1998,
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 | 240 |       author = "Caramana, EJ and Shashkov, MJ",
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 | 241 |        title = "Elimination of artificial grid distortion and hourglass-type motions by means of {L}agrangian subzonal masses and pressures",
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 | 242 |         year = "1998",
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 | 243 |      journal = "J {C}omput {P}hys",
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 | 244 |       volume = "142",
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 | 245 |       number = "2",
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 | 246 |        pages = "521--561"
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 | 247 | }
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 | 248 | 
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 | 249 | %==Ref24
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 | 250 | @techreport{Hoch2009,
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 | 251 |       author = "Hoch, P",
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 | 252 |        title = "An arbitrary {L}agrangian-{E}ulerian strategy to solve compressible fluid flows",
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 | 253 |       number = "Technical {R}eport",
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 | 254 |  institution = "CEA",
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 | 255 |         year = "2009",
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 | 256 |         note = "HAL: hal-00366858. https://hal.archives-ouvertes.fr/docs/00/36/68/58/PDF/ale2d.pdf. Accessed January 13, 2016"
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 | 257 | }
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 | 258 | 
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 | 259 | %==Ref25
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 | 260 | @book{Shashkov1996,
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 | 261 |       author = "Shashkov, M",
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 | 262 |        title = "Conservative {F}inite-{D}ifference {M}ethods on {G}eneral {G}rids",
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 | 263 |    publisher = "CRC {P}ress",
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 | 264 |      address = "Boca Raton, Florida",
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 | 265 |         year = "1996",
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 | 266 |         note = "ISBN 0-8493-7375-1"
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 | 267 | }
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 | 268 | 
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 | 269 | %==Ref26
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 | 270 | @article{Knupp1999,
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 | 271 |       author = "Knupp, PM",
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 | 272 |        title = "Winslow smoothing on two-dimensional unstructured meshes",
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 | 273 |         year = "1999",
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 | 274 |      journal = "Eng {C}omput",
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 | 275 |       volume = "15",
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 | 276 |        pages = "263--268"
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 | 277 | }
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 | 278 | 
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 | 279 | %==Ref27
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 | 280 | @techreport{kamm2000,
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 | 281 |       author = "Kamm, J",
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|---|
 | 282 |        title = "Evaluation of the {S}edov-von {N}eumann-{T}aylor blast wave solution",
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 | 283 |  institution = "Los {A}lamos {N}ational {L}aboratory",
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 | 284 |         year = "2000",
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|---|
 | 285 |       number = "Technical {R}eport LA-UR-00-6055"
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|---|
 | 286 | }
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 | 287 | 
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 | 288 | %==Ref28
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 | 289 | @article{Taylor1937,
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|---|
 | 290 |       author = "Taylor, GI and Green, AE",
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 | 291 |        title = "Mechanism of the production of small eddies from large ones",
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|---|
 | 292 |         year = "1937",
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|---|
 | 293 |      journal = "P {R}oy {S}oc {L}ond {A} {M}at",
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|---|
 | 294 |       volume = "158",
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|---|
 | 295 |       number = "895",
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|---|
 | 296 |        pages = "499--521",
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|---|
 | 297 |         note = "\url{https://doi.org/10.1098/rspa.1937.0036}, \url{http://rspa.royalsocietypublishing.org/content/158/895/499}"
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|---|
 | 298 | }
 | 
|---|
 | 299 | 
 | 
|---|