| 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",
|
|---|
| 283 | institution = "Los {A}lamos {N}ational {L}aboratory",
|
|---|
| 284 | year = "2000",
|
|---|
| 285 | number = "Technical {R}eport LA-UR-00-6055"
|
|---|
| 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",
|
|---|
| 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",
|
|---|
| 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 | }
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| 299 |
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