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 | |
---|