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 | } |
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299 | |
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