| 1 | %==Ref1
|
|---|
| 2 | @article{Hirt1974,
|
|---|
| 3 | author = "Hirt, CW and Amsden, AA and Cook, JL",
|
|---|
| 4 | title = "An arbitrary {L}agrangian-{E}ulerian computing method for all flow speeds",
|
|---|
| 5 | year = "1974",
|
|---|
| 6 | journal = "J {C}omput {P}hys",
|
|---|
| 7 | volume = "14",
|
|---|
| 8 | number = "3",
|
|---|
| 9 | pages = "227--253"
|
|---|
| 10 | }
|
|---|
| 11 |
|
|---|
| 12 | %==Ref2
|
|---|
| 13 | @article{Benson1992,
|
|---|
| 14 | author = "Benson, DJ",
|
|---|
| 15 | title = "Computational methods in {L}agrangian and {E}ulerian hydrocodes",
|
|---|
| 16 | year = "1992",
|
|---|
| 17 | journal = "Comput {M}ethod {A}ppl {M}",
|
|---|
| 18 | volume = "99",
|
|---|
| 19 | number = "2--3",
|
|---|
| 20 | pages = "235--394"
|
|---|
| 21 | }
|
|---|
| 22 |
|
|---|
| 23 | %==Ref3
|
|---|
| 24 | @article{Dukowicz1984,
|
|---|
| 25 | author = "Dukowicz, J",
|
|---|
| 26 | title = "Conservative rezoning (remapping) for general quadrilateral meshes",
|
|---|
| 27 | year = "1984",
|
|---|
| 28 | journal = "J {C}omput {P}hys",
|
|---|
| 29 | volume = "54",
|
|---|
| 30 | number = "3",
|
|---|
| 31 | pages = "411--424"
|
|---|
| 32 | }
|
|---|
| 33 |
|
|---|
| 34 | %==Ref4
|
|---|
| 35 | @article{Margolin2003,
|
|---|
| 36 | author = "Margolin, LG and Shashkov, M",
|
|---|
| 37 | title = "Second-order sign-preserving conservative interpolation (remapping) on general grids",
|
|---|
| 38 | year = "2003",
|
|---|
| 39 | journal = "J {C}omput {P}hys",
|
|---|
| 40 | volume = "184",
|
|---|
| 41 | number = "1",
|
|---|
| 42 | pages = "266--298"
|
|---|
| 43 | }
|
|---|
| 44 |
|
|---|
| 45 | %==Ref5
|
|---|
| 46 | @inproceedings{Kenamond2013,
|
|---|
| 47 | author = "Kenamond, MA and Burton, DE",
|
|---|
| 48 | title = "Exact intersection remapping of multi-material domain-decomposed polygonal meshes",
|
|---|
| 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",
|
|---|
| 50 | organization = "The organization",
|
|---|
| 51 | address = "San {F}rancisco",
|
|---|
| 52 | year = "September 2--6, 2013",
|
|---|
| 53 | note = "LA-UR-13-26794"
|
|---|
| 54 | }
|
|---|
| 55 |
|
|---|
| 56 | %==Ref6
|
|---|
| 57 | @inproceedings{Burton2013,
|
|---|
| 58 | author = "Burton, DE and Kenamond, MA and Morgan, NR and Carney, TC and Shashkov, MJ",
|
|---|
| 59 | title = "An intersection based {ALE} scheme {(xALE)} for cell centered hydrodynamics {(CCH)}",
|
|---|
| 60 | series = "Talk at {M}ultimat 2013, {I}nternational {C}onference on {N}umerical {M}ethods for {M}ulti-{M}aterial {F}luid {F}lows",
|
|---|
| 61 | address = "San {F}rancisco",
|
|---|
| 62 | organization = "The Organization",
|
|---|
| 63 | year = "September 2--6, 2013",
|
|---|
| 64 | note = "LA-UR-13-26756.2"
|
|---|
| 65 | }
|
|---|
| 66 |
|
|---|
| 67 | %==Ref7
|
|---|
| 68 | @article{Berndt2011,
|
|---|
| 69 | author = "Berndt, M and Breil, J and Galera, S and Kucharik, M and Maire, PH and Shashkov, M",
|
|---|
| 70 | title = "Two-step hybrid conservative remapping for multimaterial arbitrary {L}agrangian-{E}ulerian methods",
|
|---|
| 71 | year = "2011",
|
|---|
| 72 | journal = "J {C}omput {P}hys",
|
|---|
| 73 | volume = "230",
|
|---|
| 74 | number = "17",
|
|---|
| 75 | pages = "6664--6687"
|
|---|
| 76 | }
|
|---|
| 77 |
|
|---|
| 78 | %==Ref8
|
|---|
| 79 | @article{Kucharik2012,
|
|---|
| 80 | author = "Kucharik, M and Shashkov, M",
|
|---|
| 81 | title = "One-step hybrid remapping algorithm for multi-material arbitrary {L}agrangian-{E}ulerian methods",
|
|---|
| 82 | year = "2012",
|
|---|
| 83 | journal = "J {C}omput {P}hys",
|
|---|
| 84 | volume = "231",
|
|---|
| 85 | number = "7",
|
|---|
| 86 | pages = "2851--2864"
|
|---|
| 87 | }
|
|---|
| 88 |
|
|---|
| 89 | %==Ref9
|
|---|
| 90 | @article{Breil2015,
|
|---|
| 91 | author = "Breil, J and Alcin, H and Maire, PH",
|
|---|
| 92 | title = "A swept intersection-based remapping method for axisymmetric {ReALE} computation",
|
|---|
| 93 | year = "2015",
|
|---|
| 94 | journal = "Int {J} {N}umer {M}eth {F}l",
|
|---|
| 95 | volume = "77",
|
|---|
| 96 | number = "11",
|
|---|
| 97 | pages = "694--706",
|
|---|
| 98 | note = "Fld.3996"
|
|---|
| 99 | }
|
|---|
| 100 |
|
|---|
| 101 | %==Ref10
|
|---|
| 102 | @incollection{Barth1997,
|
|---|
| 103 | author = "Barth, TJ",
|
|---|
| 104 | title = "Numerical methods for gasdynamic systems on unstructured meshes",
|
|---|
| 105 | 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",
|
|---|
| 106 | editor = "Kroner, D and Rohde, C and Ohlberger, M",
|
|---|
| 107 | address = "Berlin",
|
|---|
| 108 | series = "Lecture {N}otes in {C}omputational {S}cience and {E}ngineering",
|
|---|
| 109 | publisher = "Springer",
|
|---|
| 110 | year = "1997",
|
|---|
| 111 | note = "ISBN 3-540-65081-4"
|
|---|
| 112 | }
|
|---|
| 113 |
|
|---|
| 114 | %==Ref11
|
|---|
| 115 | @article{Liska2010,
|
|---|
| 116 | author = "Liska, R and Shashkov, M and Vachal, P and Wendroff, B",
|
|---|
| 117 | title = "Optimization-based synchronized flux-corrected conservative interpolation (remapping) of mass and momentum for arbitrary {L}agrangian-{E}ulerian methods",
|
|---|
| 118 | year = "2010",
|
|---|
| 119 | journal = "J {C}omput {P}hys",
|
|---|
| 120 | volume = "229",
|
|---|
| 121 | number = "5",
|
|---|
| 122 | pages = "1467--1497"
|
|---|
| 123 | }
|
|---|
| 124 |
|
|---|
| 125 | %==Ref12
|
|---|
| 126 | @article{Kucharik2003,
|
|---|
| 127 | author = "Kucharik, M and Shashkov, M and Wendroff, B",
|
|---|
| 128 | title = "An efficient linearity-and-bound-preserving remapping method",
|
|---|
| 129 | year = "2003",
|
|---|
| 130 | journal = "J {C}omput {P}hys",
|
|---|
| 131 | volume = "188",
|
|---|
| 132 | number = "2",
|
|---|
| 133 | pages = "462--471"
|
|---|
| 134 | }
|
|---|
| 135 |
|
|---|
| 136 | %==Ref13
|
|---|
| 137 | @misc{Blanchard2015,
|
|---|
| 138 | author = "Blanchard, G and Loubere, R",
|
|---|
| 139 | title = "High-Order {C}onservative {R}emapping with a posteriori {MOOD} stabilization on polygonal meshes",
|
|---|
| 140 | year = "2015",
|
|---|
| 141 | howpublished = "Details on how published",
|
|---|
| 142 | note = "\url{https://hal.archives-ouvertes.fr/hal-01207156}, the {HAL} {O}pen {A}rchive, hal-01207156. Accessed January 13, 2016"
|
|---|
| 143 | }
|
|---|
| 144 |
|
|---|
| 145 | %==Ref14
|
|---|
| 146 | @article{Lauritzen2011,
|
|---|
| 147 | author = "Lauritzen, P and Erath, C and Mittal, R",
|
|---|
| 148 | title = "On simplifying `incremental remap'-based transport schemes",
|
|---|
| 149 | year = "2011",
|
|---|
| 150 | journal = "J {C}omput {P}hys",
|
|---|
| 151 | volume = "230",
|
|---|
| 152 | number = "22",
|
|---|
| 153 | pages = "7957--7963"
|
|---|
| 154 | }
|
|---|
| 155 |
|
|---|
| 156 | %==Ref15
|
|---|
| 157 | @article{Klima2017,
|
|---|
| 158 | author = "Klima, M and Kucharik, M and Shashkov, M",
|
|---|
| 159 | title = "Local error analysis and comparison of the swept- and intersection-based remapping methods",
|
|---|
| 160 | year = "2017",
|
|---|
| 161 | journal = "Commun {C}omput {P}hys",
|
|---|
| 162 | volume = "21",
|
|---|
| 163 | number = "2",
|
|---|
| 164 | pages = "526--558"
|
|---|
| 165 | }
|
|---|
| 166 |
|
|---|
| 167 | %==Ref16
|
|---|
| 168 | @article{Dukowicz2000,
|
|---|
| 169 | author = "Dukowicz, JK and Baumgardner, JR",
|
|---|
| 170 | title = "Incremental remapping as a transport/advection algorithm",
|
|---|
| 171 | year = "2000",
|
|---|
| 172 | journal = "J {C}omput {P}hys",
|
|---|
| 173 | volume = "160",
|
|---|
| 174 | number = "1",
|
|---|
| 175 | pages = "318--335"
|
|---|
| 176 | }
|
|---|
| 177 |
|
|---|
| 178 | %==Ref17
|
|---|
| 179 | @incollection{Kucharik2011,
|
|---|
| 180 | author = "Kucharik, M and Shashkov, M",
|
|---|
| 181 | title = "Flux-based approach for conservative remap of multi-material quantities in {2D} arbitrary {L}agrangian-{E}ulerian simulations",
|
|---|
| 182 | booktitle = "Finite {V}olumes for {C}omplex {A}pplications {VI} {P}roblems \& {P}erspectives",
|
|---|
| 183 | editor = "Fo\v{r}t, J and F{\"{u}}rst, J and Halama, J and Herbin, R and Hubert, F",
|
|---|
| 184 | series = "Springer {P}roceedings in {M}athematics",
|
|---|
| 185 | volume = "1",
|
|---|
| 186 | publisher = "Springer",
|
|---|
| 187 | year = "2011",
|
|---|
| 188 | pages = "623--631"
|
|---|
| 189 | }
|
|---|
| 190 |
|
|---|
| 191 | %==Ref18
|
|---|
| 192 | @article{Kucharik2014,
|
|---|
| 193 | author = "Kucharik, M and Shashkov, M",
|
|---|
| 194 | title = "Conservative multi-material remap for staggered multi-material arbitrary {L}agrangian-{E}ulerian methods",
|
|---|
| 195 | year = "2014",
|
|---|
| 196 | journal = "J {C}omput {P}hys",
|
|---|
| 197 | volume = "258",
|
|---|
| 198 | pages = "268--304"
|
|---|
| 199 | }
|
|---|
| 200 |
|
|---|
| 201 | %==Ref19
|
|---|
| 202 | @article{Loubere2005,
|
|---|
| 203 | author = "Loubere, R and Shashkov, M",
|
|---|
| 204 | title = "A subcell remapping method on staggered polygonal grids for arbitrary-{L}agrangian-{E}ulerian methods",
|
|---|
| 205 | year = "2005",
|
|---|
| 206 | journal = "J {C}omput {P}hys",
|
|---|
| 207 | volume = "209",
|
|---|
| 208 | number = "1",
|
|---|
| 209 | pages = "105--138"
|
|---|
| 210 | }
|
|---|
| 211 |
|
|---|
| 212 | %==Ref20
|
|---|
| 213 | @techreport{Margolin2002,
|
|---|
| 214 | author = "Margolin, LG and Shashkov, M",
|
|---|
| 215 | title = "Second-order sign-preserving remapping on general grids",
|
|---|
| 216 | address = "The address",
|
|---|
| 217 | institution = "Los {A}lamos {N}ational {L}aboratory",
|
|---|
| 218 | year = "2002",
|
|---|
| 219 | number = "Technical Report LA-UR-02-525"
|
|---|
| 220 | }
|
|---|
| 221 |
|
|---|
| 222 | %==Ref21
|
|---|
| 223 | @inproceedings{Mavriplis2003,
|
|---|
| 224 | author = "Mavriplis, DJ",
|
|---|
| 225 | title = "Revisiting the least-squares procedure for gradient reconstruction on unstructured meshes",
|
|---|
| 226 | year = "June 23--26, 2003",
|
|---|
| 227 | series = "AIAA 2003-3986. 16th {AIAA} {C}omputational {F}luid {D}ynamics {C}onference",
|
|---|
| 228 | organization = "The organization",
|
|---|
| 229 | address = "Orlando, {F}lorida"
|
|---|
| 230 | }
|
|---|
| 231 |
|
|---|
| 232 | %==Ref22
|
|---|
| 233 | @article{Scovazzi2008,
|
|---|
| 234 | author = "Scovazzi, G and Love, E and Shashkov, M",
|
|---|
| 235 | title = "Multi-scale {L}agrangian shock hydrodynamics on {Q1/P0} finite elements: {T}heoretical framework and two-dimensional computations",
|
|---|
| 236 | year = "2008",
|
|---|
| 237 | journal = "Comput {M}ethod {A}ppl {M}",
|
|---|
| 238 | volume = "197",
|
|---|
| 239 | number = "9--12",
|
|---|
| 240 | pages = "1056--1079"
|
|---|
| 241 | }
|
|---|
| 242 |
|
|---|
| 243 | %==Ref23
|
|---|
| 244 | @article{Caramana1998,
|
|---|
| 245 | author = "Caramana, EJ and Shashkov, MJ",
|
|---|
| 246 | title = "Elimination of artificial grid distortion and hourglass-type motions by means of {L}agrangian subzonal masses and pressures",
|
|---|
| 247 | year = "1998",
|
|---|
| 248 | journal = "J {C}omput {P}hys",
|
|---|
| 249 | volume = "142",
|
|---|
| 250 | number = "2",
|
|---|
| 251 | pages = "521--561"
|
|---|
| 252 | }
|
|---|
| 253 |
|
|---|
| 254 | %==Ref24
|
|---|
| 255 | @techreport{Hoch2009,
|
|---|
| 256 | author = "Hoch, P",
|
|---|
| 257 | title = "An arbitrary {L}agrangian-{E}ulerian strategy to solve compressible fluid flows",
|
|---|
| 258 | number = "Technical {R}eport",
|
|---|
| 259 | institution = "CEA",
|
|---|
| 260 | address = "The address",
|
|---|
| 261 | year = "2009",
|
|---|
| 262 | note = "HAL: hal-00366858. https://hal.archives-ouvertes.fr/docs/00/36/68/58/PDF/ale2d.pdf. Accessed January 13, 2016"
|
|---|
| 263 | }
|
|---|
| 264 |
|
|---|
| 265 | %==Ref25
|
|---|
| 266 | @book{Shashkov1996,
|
|---|
| 267 | author = "Shashkov, M",
|
|---|
| 268 | title = "Conservative {F}inite-{D}ifference {M}ethods on {G}eneral {G}rids",
|
|---|
| 269 | publisher = "CRC {P}ress",
|
|---|
| 270 | address = "Boca Raton, Florida",
|
|---|
| 271 | year = "1996",
|
|---|
| 272 | note = "ISBN 0-8493-7375-1"
|
|---|
| 273 | }
|
|---|
| 274 |
|
|---|
| 275 | %==Ref26
|
|---|
| 276 | @article{Knupp1999,
|
|---|
| 277 | author = "Knupp, PM",
|
|---|
| 278 | title = "Winslow smoothing on two-dimensional unstructured meshes",
|
|---|
| 279 | year = "1999",
|
|---|
| 280 | journal = "Eng {C}omput",
|
|---|
| 281 | volume = "15",
|
|---|
| 282 | pages = "263--268"
|
|---|
| 283 | }
|
|---|
| 284 |
|
|---|
| 285 | %==Ref27
|
|---|
| 286 | @techreport{kamm2000,
|
|---|
| 287 | author = "Kamm, J",
|
|---|
| 288 | title = "Evaluation of the {S}edov-von {N}eumann-{T}aylor blast wave solution",
|
|---|
| 289 | institution = "Los {A}lamos {N}ational {L}aboratory",
|
|---|
| 290 | address = "The address",
|
|---|
| 291 | year = "2000",
|
|---|
| 292 | number = "Technical {R}eport LA-UR-00-6055"
|
|---|
| 293 | }
|
|---|
| 294 |
|
|---|
| 295 | %==Ref28
|
|---|
| 296 | @article{Taylor1937,
|
|---|
| 297 | author = "Taylor, GI and Green, AE",
|
|---|
| 298 | title = "Mechanism of the production of small eddies from large ones",
|
|---|
| 299 | year = "1937",
|
|---|
| 300 | journal = "P {R}oy {S}oc {L}ond {A} {M}at",
|
|---|
| 301 | volume = "158",
|
|---|
| 302 | number = "895",
|
|---|
| 303 | pages = "499--521",
|
|---|
| 304 | note = "\url{https://doi.org/10.1098/rspa.1937.0036}, \url{http://rspa.royalsocietypublishing.org/content/158/895/499}"
|
|---|
| 305 | }
|
|---|
| 306 |
|
|---|
