1 | \begin{thebibliography}{10} |
---|
2 | |
---|
3 | \bibitem{Hirt1974} |
---|
4 | Hirt CW, Amsden AA, Cook JL. An arbitrary {L}agrangian-{E}ulerian computing |
---|
5 | method for all flow speeds. {\it J {C}omput {P}hys. }1974;14(3):227--253. |
---|
6 | |
---|
7 | \bibitem{Liska2010} |
---|
8 | Liska R, Shashkov M, Vachal P, Wendroff B. Optimization-based synchronized |
---|
9 | flux-corrected conservative interpolation (remapping) of mass and momentum |
---|
10 | for arbitrary {L}agrangian-{E}ulerian methods. {\it J {C}omput {P}hys. |
---|
11 | }2010;229(5):1467--1497. |
---|
12 | |
---|
13 | \bibitem{Taylor1937} |
---|
14 | Taylor GI, Green AE. Mechanism of the production of small eddies from large |
---|
15 | ones. {\it P {R}oy {S}oc {L}ond {A} {M}at. }1937;158(895):499--521. |
---|
16 | \newblock \url{https://doi.org/10.1098/rspa.1937.0036}, |
---|
17 | \url{http://rspa.royalsocietypublishing.org/content/158/895/499}. |
---|
18 | |
---|
19 | \bibitem{Knupp1999} |
---|
20 | Knupp PM. Winslow smoothing on two-dimensional unstructured meshes. {\it Eng |
---|
21 | {C}omput. }1999;15:263--268. |
---|
22 | |
---|
23 | \bibitem{Kamm2000} |
---|
24 | Kamm J. {\it Evaluation of the {S}edov-von {N}eumann-{T}aylor blast wave |
---|
25 | solution. } Technical {R}eport LA-UR-00-6055: Los {A}lamos {N}ational |
---|
26 | {L}aboratory; 2000. |
---|
27 | |
---|
28 | \bibitem{Kucharik2003} |
---|
29 | Kucharik M, Shashkov M, Wendroff B. An efficient linearity-and-bound-preserving |
---|
30 | remapping method. {\it J {C}omput {P}hys. }2003;188(2):462--471. |
---|
31 | |
---|
32 | \bibitem{Blanchard2015} |
---|
33 | Blanchard G, Loubere R. {\it High-Order {C}onservative {R}emapping with a |
---|
34 | posteriori {MOOD} stabilization on polygonal meshes. } |
---|
35 | \url{https://hal.archives-ouvertes.fr/hal-01207156}, the {HAL} {O}pen |
---|
36 | {A}rchive, hal-01207156. Accessed January 13, 2016; 2015. |
---|
37 | |
---|
38 | \bibitem{Burton2013} |
---|
39 | Burton DE, Kenamond MA, Morgan NR, Carney TC, Shashkov MJ. An intersection |
---|
40 | based {ALE} scheme {(xALE)} for cell centered hydrodynamics {(CCH)}. In: |
---|
41 | Talk at {M}ultimat 2013, {I}nternational {C}onference on {N}umerical |
---|
42 | {M}ethods for {M}ulti-{M}aterial {F}luid {F}lows; September 2--6, 2013; San |
---|
43 | {F}rancisco. |
---|
44 | \newblock LA-UR-13-26756.2. |
---|
45 | |
---|
46 | \bibitem{Berndt2011} |
---|
47 | Berndt M, Breil J, Galera S, Kucharik M, Maire PH, Shashkov M. Two-step hybrid |
---|
48 | conservative remapping for multimaterial arbitrary {L}agrangian-{E}ulerian |
---|
49 | methods. {\it J {C}omput {P}hys. }2011;230(17):6664--6687. |
---|
50 | |
---|
51 | \bibitem{Kucharik2012} |
---|
52 | Kucharik M, Shashkov M. One-step hybrid remapping algorithm for multi-material |
---|
53 | arbitrary {L}agrangian-{E}ulerian methods. {\it J {C}omput {P}hys. |
---|
54 | }2012;231(7):2851--2864. |
---|
55 | |
---|
56 | \bibitem{Breil2015} |
---|
57 | Breil J, Alcin H, Maire PH. A swept intersection-based remapping method for |
---|
58 | axisymmetric {ReALE} computation. {\it Int {J} {N}umer {M}eth {F}l. |
---|
59 | }2015;77(11):694--706. |
---|
60 | \newblock Fld.3996. |
---|
61 | |
---|
62 | \bibitem{Barth1997} |
---|
63 | Barth TJ. Numerical methods for gasdynamic systems on unstructured meshes. In: |
---|
64 | Kroner D, Rohde C, Ohlberger M, eds. {\it An {I}ntroduction to {R}ecent |
---|
65 | {D}evelopments in {T}heory and {N}umerics for {C}onservation {L}aws, |
---|
66 | {P}roceedings of the {I}nternational {S}chool on {T}heory and {N}umerics for |
---|
67 | {C}onservation {L}aws}, Lecture {N}otes in {C}omputational {S}cience and |
---|
68 | {E}ngineering. Berlin: Springer 1997. |
---|
69 | \newblock ISBN 3-540-65081-4. |
---|
70 | |
---|
71 | \bibitem{Lauritzen2011} |
---|
72 | Lauritzen P, Erath C, Mittal R. On simplifying `incremental remap'-based |
---|
73 | transport schemes. {\it J {C}omput {P}hys. }2011;230(22):7957--7963. |
---|
74 | |
---|
75 | \bibitem{Klima2017} |
---|
76 | Klima M, Kucharik M, Shashkov M. Local error analysis and comparison of the |
---|
77 | swept- and intersection-based remapping methods. {\it Commun {C}omput |
---|
78 | {P}hys. }2017;21(2):526--558. |
---|
79 | |
---|
80 | \bibitem{Dukowicz2000} |
---|
81 | Dukowicz JK, Baumgardner JR. Incremental remapping as a transport/advection |
---|
82 | algorithm. {\it J {C}omput {P}hys. }2000;160(1):318--335. |
---|
83 | |
---|
84 | \bibitem{Kucharik2011} |
---|
85 | Kucharik M, Shashkov M. Flux-based approach for conservative remap of |
---|
86 | multi-material quantities in {2D} arbitrary {L}agrangian-{E}ulerian |
---|
87 | simulations. In: Fo\v{r}t J, F{\"{u}}rst J, Halama J, Herbin R, Hubert F, |
---|
88 | eds. {\it Finite {V}olumes for {C}omplex {A}pplications {VI} {P}roblems \& |
---|
89 | {P}erspectives}, Springer {P}roceedings in {M}athematics, vol. 1: Springer |
---|
90 | 2011 (pp. 623--631). |
---|
91 | |
---|
92 | \bibitem{Kucharik2014} |
---|
93 | Kucharik M, Shashkov M. Conservative multi-material remap for staggered |
---|
94 | multi-material arbitrary {L}agrangian-{E}ulerian methods. {\it J {C}omput |
---|
95 | {P}hys. }2014;258:268--304. |
---|
96 | |
---|
97 | \bibitem{Loubere2005} |
---|
98 | Loubere R, Shashkov M. A subcell remapping method on staggered polygonal grids |
---|
99 | for arbitrary-{L}agrangian-{E}ulerian methods. {\it J {C}omput {P}hys. |
---|
100 | }2005;209(1):105--138. |
---|
101 | |
---|
102 | \bibitem{Caramana1998} |
---|
103 | Caramana EJ, Shashkov MJ. Elimination of artificial grid distortion and |
---|
104 | hourglass-type motions by means of {L}agrangian subzonal masses and |
---|
105 | pressures. {\it J {C}omput {P}hys. }1998;142(2):521--561. |
---|
106 | |
---|
107 | \bibitem{Hoch2009} |
---|
108 | Hoch P. {\it An arbitrary {L}agrangian-{E}ulerian strategy to solve |
---|
109 | compressible fluid flows. } Technical {R}eport: CEA; 2009. |
---|
110 | \newblock HAL: hal-00366858. |
---|
111 | https://hal.archives-ouvertes.fr/docs/00/36/68/58/PDF/ale2d.pdf. Accessed |
---|
112 | January 13, 2016. |
---|
113 | |
---|
114 | \bibitem{Shashkov1996} |
---|
115 | Shashkov M. {\it Conservative {F}inite-{D}ifference {M}ethods on {G}eneral |
---|
116 | {G}rids}. |
---|
117 | \newblock Boca Raton, Florida: CRC {P}ress; 1996. |
---|
118 | \newblock ISBN 0-8493-7375-1. |
---|
119 | |
---|
120 | \bibitem{Benson1992} |
---|
121 | Benson DJ. Computational methods in {L}agrangian and {E}ulerian hydrocodes. |
---|
122 | {\it Comput {M}ethod {A}ppl {M}. }1992;99(2--3):235--394. |
---|
123 | |
---|
124 | \bibitem{Margolin2003} |
---|
125 | Margolin LG, Shashkov M. Second-order sign-preserving conservative |
---|
126 | interpolation (remapping) on general grids. {\it J {C}omput {P}hys. |
---|
127 | }2003;184(1):266--298. |
---|
128 | |
---|
129 | \bibitem{Kenamond2013} |
---|
130 | Kenamond MA, Burton DE. Exact intersection remapping of multi-material |
---|
131 | domain-decomposed polygonal meshes. In: Talk at {M}ultimat 2013, |
---|
132 | {I}nternational {C}onference on {N}umerical {M}ethods for {M}ulti-{M}aterial |
---|
133 | {F}luid {F}lows; September 2--6, 2013; San {F}rancisco. |
---|
134 | \newblock LA-UR-13-26794. |
---|
135 | |
---|
136 | \bibitem{Dukowicz1984} |
---|
137 | Dukowicz J. Conservative rezoning (remapping) for general quadrilateral meshes. |
---|
138 | {\it J {C}omput {P}hys. }1984;54(3):411--424. |
---|
139 | |
---|
140 | \bibitem{Margolin2002} |
---|
141 | Margolin LG, Shashkov M. {\it Second-order sign-preserving remapping on general |
---|
142 | grids. } Technical Report LA-UR-02-525: Los {A}lamos {N}ational {L}aboratory; |
---|
143 | 2002. |
---|
144 | |
---|
145 | \bibitem{Mavriplis2003} |
---|
146 | Mavriplis DJ. Revisiting the least-squares procedure for gradient |
---|
147 | reconstruction on unstructured meshes. In: AIAA 2003-3986. 16th {AIAA} |
---|
148 | {C}omputational {F}luid {D}ynamics {C}onference; June 23--26, 2003; Orlando, |
---|
149 | {F}lorida. |
---|
150 | |
---|
151 | \bibitem{Scovazzi2008} |
---|
152 | Scovazzi G, Love E, Shashkov M. Multi-scale {L}agrangian shock hydrodynamics on |
---|
153 | {Q1/P0} finite elements: {T}heoretical framework and two-dimensional |
---|
154 | computations. {\it Comput {M}ethod {A}ppl {M}. }2008;197(9--12):1056--1079. |
---|
155 | |
---|
156 | \end{thebibliography} |
---|