石康浩 Overview of Diverse Computer Simulations and their

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石康浩 Overview of Diverse Computer Simulations and their

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,**1 + . ,**1 1 +2 Overview of Diverse Computer Simulations and
their Potential Contribution to Volcanology
Yasuhiro ISHIMINE῍
This paper presents an overview of diverse computer simulations, such as those based on the ﬁnite di#erence
method, lattice Boltzmann method and molecular dynamics, to discuss their potential contribution to volcanology.
The general features of several numerical methods are described to provide information for ﬁnding appropriate
approaches to investigate various volcanic processes on a wide range of time and space scales. This paper also
outlines previous numerical studies of some volcanic phenomena, including the generation of magma deep
underground, the ground deformation due to magma injection into the Earth’s crust, and the evolution of giant
eruption columns penetrating into the stratosphere. Fundamental issues on conducting computer simulations of
volcanic phenomena are then discussed with the aim of promoting e#ective numerical studies in volcanology.
Key words : simulation, numerical procedure, modeling, multiphysics
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Corresponding author : Yasuhiro Ishimine
e-mail : [email protected]
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ῌ ῑ ῐ ῍
Aharonov, E., Spiegelman, M. and Kelemen, P. (+331)
Three-dimensional ﬂow and reaction in porous media :
implications for the Earth’s mantle and sedimentary
basins. J. Geophys. Res., +*,B1, +.2,+ῌ+.2--.
©^ ' (+31/) +13, ª«(·¬`O
/ k , ,2 ..3ῌ.0*.
An, J., Ueda, H., Matsuda, K., Hasome, H. and Iwata, M.
(,**-) Simulated impacts of SO, emissions from the
Miyake volcano on concentration and deposition of
sulfur oxides in September and October of ,***. Atmospheric Environment, -1, -*-3ῌ-*.0.
¸)®0|¯ *° (,**-) *±¹4²+*±³
!"´º.»%m+,7 µm +/ ª$¶
spab!·p¤ ,-.ῌ,-/.
¸¹6 (+33.) +Ns *s:ºp ,.2p.
Armienti, P., Macedonio, G. and Pareschi, M.T. (+322) A
numerical model for simulation of tephra transport and
deposition : applications to May +2, +32*, Mount St.
Helens eruption. J. Geophys. Res., 3-B0, 0.0-ῌ0.10.
Aspinall, W.P., Carniel, R., Jaquet, O., Woo, G. and
Hincks, T. (,**0) Using hidden multi-state Markov
models with multi-parameter volcanic data to provide
236
º » ¼
empirical evidence for alert level decision-support. J.
Volcanol. Geotherm. Res., +/-, ++,ῌ+,..
Beven, K. J. (,**+) Rainfall-runo# modelling, the primer.
Wiley, Chichester, -0*p.
Brackbill, J. U., Kothe, D. B. and Zemach, C. (+33,) A
continuum method for modeling surface tension. J.
Comput. Phys., +**, --/ῌ-/..
Branney, M. J. and Kokelaar, P. (,**,) Pyroclastic density
currents and the sedimentation of ignimbrites. Geological
Society Memoir ,1, London, +/,p.
Brebbia, C.A. and Dominguez J. (+33-) ῎
-2*p.
Campbell, C.S., Cleary, P.W. and Hopkins, M. (+33/)
Large-scale landslide simulations : global deformation,
velocities and basal friction. J. Geophys. Res., +**B/,
2,01ῌ2,2-.
Carroll, M.R. and Holloway, J.R. (+33.) Volatiles in
magmas. Reviews in mineralogy -*, Mineralogical Society of America, Washington, D.C., /+1p.
Cayol, V. and Cornet, F.H. (+331) -D mixed boundary
elements for elastostatic deformation ﬁeld analysis. Int.
J. Rock Mech. Min. Sci., -., ,1/ῌ,21.
Clarke, A.B., Neri, A., Voight, B., Macedonio, G. and
Druitt, T. H. (,**,) Computational modelling of the
transient dynamics of the August +331 Vulcanian explosions at Soufrie
◊re Hills Volcano, Montserrat : inﬂuence
of initial conduit conditions on near-vent pyroclastic
dispersal. In The eruption of Soufrie
◊re Hills Volcano,
Montserrat, from +33/ to +333 (Druitt, T.H. and
Kokelaar, B.P. eds), Memoir ,+, Geological Society,
London, -+3ῌ-.2.
Connor, J. J. and Brebbia, C.A. (+312) ! "#$%&'()* +
,-./ ,.*p.
Córdoba, G. (,**/) A numerical model for the dynamics
of pyroclastic ﬂows at Galeras Volcano, Colombia. J.
Volcanol. Geotherm. Res., +-3, /3ῌ1+.
Costa, A. and Macedonio, G. (,**/) Numerical simulation
of lava ﬂows based on depth-averaged equations.
Geophys. Res. Lett., -,, L*/-*., doi : +*.+*,3/,**.GL
*,+2+1.
Crisci, G.M., Di Gregorio, S., Nicoletta, F., Rongo, R. and
Spataro, W. (+333) Analysing lava risk for the Etnean
area : simulation by cellular automata methods. Nat.
Hazards, ,*, ,+/ῌ,,3.
Dahm, T. (,***) Numerical simulations of the propagation
path and the arrest of ﬂuid-ﬁlled fractures in the Earth.
Geophys. J. Int., +.+, 0,-ῌ0-2.
Dartevelle, S., Rose, W.I., Stix, J., Kelfoun, K. and Vallance, J.W. (,**.) Numerical modeling of geophysical
granular ﬂows : ,. computer simulations of plinian clouds
and pyroclastic ﬂows and surges. Geochem. Geophys.
Geosyst., /, Q*2**..
Denlinger, R.P. and Iverson, R.M. (,**+) Flow of variably
ﬂuidized granular masses across three-dimensional terrain ,. Numerical predictions and experimental tests. J.
Geophys. Res., +*0B+, //-ῌ/00.
Dobran, F., Neri, A. and Todesco, M. (+33.) Assessing the
pyroclastic ﬂow hazard at Vesuvius. Nature, -01, //+ῌ
//..
Duran, J. (,**,) 0123456707189
:;5 < =" > ?@AB ,3+p.
Ebisuzaki, T., Makino, J. and Okumura, S.K. (+33+) Merging of two galaxies with central black holes. Nature, -/.,
,+,ῌ,+..
Epstein, J. M. and Axtell, R. (+333) CDE5FGH7
IJK-LM.N OPQROS. 5 TU
VWXY8 Z[\] ,-0p.
Favalli, M., Pareschi, M.T., Neri, A. and Isola, I. (,**/)
Forecasting lava ﬂow paths by a stochastic approach.
Geophys. Res. Lett., -,, L*--*/, doi : +*.+*,3/,**.GL
*,+1+2.
&%^῏ (+33.) ῌ4_`ab cde4\]
E ,.2p.
&fg (,**.) hijOPQROS.7kl
mnopqr abs4tuv!wxyz{qr
|}~ +- O.Ln
02ῌ1+.
0D4E (+332) 0OPQROS.
A ,*2p.
῍8%i (,**,)
hi¡¢/£¤J¥,¦§¨©no7 e
ªk4E« -1 ,-ῌ-..
Giordano, G. and Dobran, F. (+33.) Computer simulations of the Tuscolano Artemisio’s second pyroclastic
ﬂow unit (Alban Hills, Latium, Italy). J. Volcanol.
Geotherm. Res., 0+, 03ῌ3..
Gri$ths, R.W. (,***) The dynamics of lava ﬂows. Annu.
Rev. Fluid Mech., -,, .11ῌ/+2.
Gudmundsson, A. and Brenner, S. L. (,**/) On the conditions of sheet injections and eruptions in stratovolcanoes.
Bull. Volcanol., 01, 102ῌ12,.
Guidazzoli, A., Diamanti, T., Ponti, F. D., Neri, A., Bisson,
M., Ongaro, T. E., Gori, R., Pareschi, M. T., Calori, L.,
Imboden, S., Cavazzoni, C., Erbacci, G. and Menconi,
G. (,**0) An interactive virtual environment to communicate vesuvius eruptions numerical simulations and
Pompeii history. In ACM SIGGRAPH ,**0 Educators
Program (ACM special interest group on computer
graphics and interactive techniques eds), SIGGRAPH
’*0, ACM Press, New York.
¬® (+331) ¯°OPQROS.5¨±²³
´¯°µ¶·5 ¸¹\] ,-2p.
He#ter, J.L. and Stunder, B. J.B. (+33-) Volcanic ash forecast transport and dispersion (VAFTAD) model. Weather and Forecasting, 2, /--ῌ/.+.
Heinrich, Ph., Boudon, G., Komorowski, J.C., Sparks, R.S.
J., Herd, R. and Voight, B. (,**+) Numerical simulation
of the December +331 debris avalanche in Montserrat,
Lesser Antilles. Geophys. Res. Lett., ,2, ,/,3ῌ,/-,.
Hersum, T., Hilpert, M. and Marsh, B. (,**/) Permeability and melt ﬂow in simulated and natural partially
molten basaltic magmas. Earth Planet. Sci. Lett., ,-1, 132ῌ
2+..
%623Qµ¶·¸l¹º!mn»O¼(*&'()&NO
Hidaka, M., Goto, A., Umino, S. and Fujita, E. (,**/)
VTFS project : Development of the lava ﬂow simulation
code LavaSIM with a model for three-dimensional convection, spreading, and solidiﬁcation. Geochem. Geophys.
Geosyst., 0, Q*1**2.
(+323) ,/,p.
Hirt, C.W. and Nichols, B.D. (+32+) Volume of ﬂuid
(VOF) method for the dynamics of free boundaries. J.
Comput. Phys., -3, ,*+ῌ,,/.
Hon, K., Kauahikaua, J., Denlinger, R. and Mackay, K.
(+33.) Emplacement and inﬂation of pahoehoe sheet
ﬂows : observations and measurements of active lava
ﬂows on Kilauea Volcano, Hawaii. Geol. Soc. Amer.
Bull., +*0, -/+ῌ-1*.
Hoover, W.G. (+332) +10p.
Hurst, A.W. and Turner, R. (+333) Performance of the
program ASHFALL for forecasting ashfall during the
+33/ and +330 eruptions of Ruapehu volcano. New Zealand J. Geol. Geophys., .,, 0+/ῌ0,,.
Hut, P. and Makino, J. (+333) Astrophysics on the
GRAPE family of special-purpose computers. Science,
,2-, /*+ῌ/*/.
(+332) !" #
02 2*,ῌ2*1.
$ (,**/) %&'()* : +, !-./
"0!" #$#1#23%&'(423 5%6
)*789':;<= +> +0 ,-23>?@A
..3ῌ./..
Iitaka, T., Hirose, K., Kawamura, K. and Murakami, M.
(,**.) The elasticity of the MgSiO- post-perovskite
phase in the Earth’s lowermost mantle. Nature, .-*, ..,ῌ
../.
BC.DEFGHIJ (+32.) K/LM0L1
&'()&NO
+32- ,P230L1Q45
%6 ,3 S,.,-S,/,.
B67R6 S (+33.) %T189$UV/W
&'()&NO :;XYZ< -0 ,,ῌ,1.
Ishimine, Y. (,**/) Numerical study of pyroclastic surges.
J. Volcanol. Geotherm. Res., +-3, --ῌ/1.
B=[\ (,**/) ] %T1 0L1&'()&N
O^_W`> #$#1#23%&'(423
5%6)*789':;<= +> +0 ,-23>?
@A .//ῌ./1.
Bab (,**.) <c;de?f!gh @
iAj ,.,p.
Itoh, H., Takahama, J., Takahashi, M. and Miyamoto, K.
(,***) Hazard estimation of the possible pyroclastic ﬂow
disasters using numerical simulation related to the +33.
activity at Merapi Volcano. J. Volcanol. Geotherm. Res.,
+**, /*-ῌ/+0.
kBlCDmIR (,**/) 8Enf!opoqFG
Hn_Er #$#1#23%&'(423
5%6)*789':;<= +> +0 ,-23>?
@A +*0ῌ++*.
Iwamori, H. (+332) Transportation of H,O and melting in
237
subduction zones. Earth Planet. Sci. Lett., +0*, 0/ῌ2*.
Jaeger, H.M., Nagel, S.R. and Behringer, R.P. (+330)
Granular solids, liquids, and gases. Rev. Mod. Phys., 02,
+,/3ῌ+,1-.
sI J K ,1 L (+33-) MtN# 5&'()
&NO= u8vO<w +2.p.
xIyOEPz (+331) {8|}QR~
gh %6 ., S+-S++.
Kelfoun, K. and Druitt, T.H. (,**/) Numerical modeling
of the emplacement of Socompa rock avalanche, Chile. J.
Geophys. Res., ++*, B+,,*,.
# (+333) STU?V W N
!XW5
u8vO<w +2.p.
Kilburn, C.R. J. (,**.) Fracturing as a quantitative indicator of lava ﬂow dynamics. J. Volcanol. Geotherm. Res.,
+-,, ,*3ῌ,,..
Kinjo, T., Ohguchi, K., Yasuoka, K. and Matsumoto, M.
(+333) Computer simulation of ﬂuid phase change :
vapor nucleation and bubble formation dynamics.
Comput. Mater. Sci., +., +-2ῌ+.+.
Y DZ C[D IP \]
(,***) ^WTU? i_AYj
--2p.
:`1a (,**.) +> +0 ,:`bA .
-32p.
Bcd *D (+333) %6
< ¡&'()&NO Z¢W£ 2 +,-ῌ
+-2.
¤E¥e (,**+) %6¦§W&'()&NO gh
0 -,*ῌ-,-.
6¨G©fª« (,**.) gm6¬®o:¯h
0!°±RRi¦jk²³´ #$#1#2
3%&'(423 5%6)*789':;<= +>
+/ ,-23>?@A -1,ῌ-32.
Kuritani, T. (,**.) Magmatic di#erentiation examined
with a numerical model considering multicomponent
thermodynamics and momentum, energy and species
transport. Lithos, 1., ++1ῌ+-*.
Laigle, D. and Coussot, P. (+331) Numerical modeling of
mudﬂows. J. Hydraul. Eng., +,-, 0+1ῌ0,-.
Malin, M.C. and Sheridan, M.F. (+32,) Computer-assisted
mapping of pyroclastic surges. Science, ,+1, 0-1ῌ0.*.
Manga, M. and Ventura, G. (,**/) Kinematics and dynamics of lava ﬂows. Special Paper -30, Geological Society of America, Boulder, ,+2p.
Mastin, L.G. (,**+) A simple calculator of ballistic
trajectories for blocks ejected during volcanic eruptions.
USGS Open-File Report ,**+ῌ./.
Mériaux, C. and Lister, J.R. (,**,) Calculation of dike
trajectories from volcanic centers. J. Geophys. Res., +*1B
., doi : +*.+*,3/,**+JB***.-0.
Minakami, T. (+3.,) On the distribution of volcanic ejecta.
(Part I.) The distribution of volcanic bombs ejected by
the recent explosions of Asama. Bull. Earthq. Res. Inst.,
,*, 0/ῌ3,.
Mitani, N.K., Matuttis, H.-G. and Kadono, T. (,**.)
Density and size segregation in deposits of pyroclastic
238
¼ ¹
ﬂow. Geophys. Res. Lett., -+, L+/0*0, doi : +*.+*,3/,**.
GL*,*++1.
Miyamoto, H. and Sasaki, S. (+332) Numerical simulations
of ﬂood basalt lava ﬂows : roles of parameters on lava
ﬂow morphologies. J. Geophys. Res., +*-B++, ,1.23ῌ
,1/*,.
(,***) 1 .2 (+*) .1ῌ/,.
(+310) !"
,.1p.
#$%&' (!)#$*+%&, (,**0) "
#-"$)./0%&123456ῌ')789(
):);*+<,0 =-. +1 /0> .?1@A
0--p.
23B4 (+33+) Smoothed Particle CDEF5G67
$ HIJ +* ,,3ῌ,-3.
Nagasawa, M. and Kuwahara, K. (+33-) Smoothed particle
simulations of the pyroclastic ﬂow. Int. J. Mod. Phys., B
1, +313ῌ+33/.
Narumi, T., Ohno, Y., Okimoto, N., Koishi, T., Suenaga,
A., Futatsugi, N., Yanai, R., Himeno, R., Fujikawa, S.,
Taiji, M. and Ikei, M. (,**0) A // TFLOPS simulation
of amyloid-forming peptides from yeast prion Sup-/ with
the special-purpose computer system MDGRAPE--. Proc.
Supercomputing ,**0.
Neri, A. and Dobran, F. (+33.) Inﬂuence of eruption
parameters on the thermoﬂuid dynamics of collapsing
volcanic columns. J. Geophys. Res., 33B0, ++2--ῌ++2/1.
Niimura, H. (,***) Lattice-gas model with wetness control
for various deformable microstructures. Comput. Phys.
Commun., +,3, +./ῌ+/1.
Nomanbhoy, N. and Satake, K. (+33/) Generation mechanism of tsunamis from the +22- Krakatau eruption.
Geophys. Res. Lett., ,,, /*3ῌ/+,.
Oberhuber, J.M., Herzog, M., Graf, H.-F. and Schwanke,
K. (+332) Volcanic plume simulation on large scales. J.
Volcanol. Geotherm. Res., 21, ,3ῌ/-.
KL 8 (,***) MNO
0$9: ,.*p.
Pitman, E.B., Nichita, C.C., Patra, A., Bauer, A., Sheridan,
M. and Bursik, M. (,**-) Computing granular avalanches and landslides. Phys. Fluid, +/, -0-2ῌ-0.0.
Press, W.H., Flannery, B.P., Teukolsky, S.A. and Vetterling, W.T. (+33.) Numerical Recipes in C ;P <
Q-R=>?S@TA BC *+DE
U 02*p.
Ryan, M.P. (+322) The mechanics and three-dimensional
internal structure of active magmatic systems : Kilauea
volcano, Hawaii. J. Geophys. Res., 3-B/, .,+-ῌ.,.2.
VW X (,**.) 6FCDEGH
+13, /I YJKZLYMN1%&1@
.* 0-ῌ1+.
SO[\ (,**+) ]^6FCDEPQ_G
H
R`Sa%&1@ /, ,.+ῌ,...
Saunders, S. J. (,**/) The possible contribution of circumferential fault intrusion to caldera resurgence. Bull.
Volcanol., 01, /1ῌ1+.
3bM (+331) cdT^eN1fOgU V
GW .2, +*ῌ+/.
Seino, N., Sasaki, H., Sato, J. and Chiba, M. (,**.) Highresolution simulation of volcanic sulfur dioxide dispersion over the Miyake Island. Atmospheric Environment,
-2, 1*1-ῌ1*2+.
*+XYhi6j4klg;Z[8mno\ (,**/)
,+ ]plgq^MNO
krsthi6 +/3p.
Spiegelman, M., Kelemen, P.B. and Aharonov, E. (,**+)
Causes and consequences of ﬂow organization during
melt transport : the reaction inﬁltration instability in
compactible media. J. Geophys. Res., +*0B,, ,*0+ῌ,*11.
_"u (+33.) `ZvwxCDE
yt56z1t{MNOab cd
Ae +..p.
Sussman, M., Smereka, P. and Osher, S. (+33.) A level set
approach for computing solutions to incompressible twophase ﬂow. J. Comput. Phys., ++., +.0ῌ+/3.
67$\|}~o\ (+33/a) fghi
j6 k"$"o +2.p.
67$\|}~o\ (+33/b) lm6
k"$"o --0p.
67$\|}~o\ (+33/c) m6 k
"$"o -+,p.
67$\|}~o\ (+33/d) .M
NOiz5t k"$"o ,**p.
67$\|}~o\ (+33/e) J
k"$"o ,**p.
nop\Tq (,**0) ^rs
5tCE -
R
-,, ,*.ῌ,*3.
Tait, S., Jaupart, C. and Vergniolle, S. (+323) Pressure, gas
content and eruption periodicity of a shallow, crystallising magma chamber. Earth Planet. Sci. Lett., 3,, +*1ῌ
+,-.
(,**+) ¡¢yC£¤i
i +/ ,-ῌ-*.
¥ ¦@t4 u§¨ -Wv© wx y
(,**/) SPH CDE^z #$#$%&{%|}ª%& «^z
z5t¬ -. +0 /0%&.?1@A ,3.ῌ,3/.
o (,**-) i
vw® ;Z
~ +-
+/*ῌ+0,.
o GuMu (,**/) ¯t°
±²³´µ¶G·.27$ #
$#$%&{%|}ª%& «^z z
5t¬ -. +0 /0%&.?1@A ,.,ῌ,./.
Takahashi, T. (,**+) Mechanics and simulation of snow
avalanches, pyroclastic ﬂows and debris ﬂows. In Particulate Gravity Currents (McCa#rey, W.D., Kneller, B.C.
and Peakall, J. eds), ++ῌ.-. Special Publication Number
-+ of the Int. Ass. Sediment., Blackwell Science, Oxford.
¸ K¹º (+32.)
"!)%/1 ,1B, .01ῌ.2/.
¸ K¹ºyO (+331) ^»
&¶h·¸¹ºd»¬ef¼(
)*
/*
,*ῌ,/.
!" (+33-) #$% +33+ῌ
3, &&'(
)*
+,-. .. ,/ῌ/..
/01 (+332) 2345678
9:;&&<=5 >? +22p.
Tanaka, H.L. (+33.) Development of a prediction scheme
for volcanic ash fall from Redoubt volcano, Alaska.
Proc. First International Symposium on Volcanic Ash
and Aviation Safety. USGS Bull., ,*.1, ,2-ῌ,3+.
Tanaka, H.L. and Yamamoto, K. (,**,) Numerical simulation of volcanic plume dispersal from Usu volcano in
Japan on -+ March ,*** using PUFF model. Earth
Planets Space, /., 1.-ῌ1/,.
!B"# /$C D%&
1@ A
(+33.) &EF'
5 #$(
G% +33+ 0 . 2 )5 & -3 ,/1ῌ,00.
The Earth Simulator Center (,**/) Annual report of the
Earth Simulator Center April ,**.-March ,**/. The
Earth Simulator Center, -/,p.
Thompson, J.F., Warsi, Z.U.A. and Mastin, C.W. (+33.)
F'H7IJKLMN* OP Q+,-
RS -/,p.
Tinti, S., Bortolucci, E. and Armigliato, A. (+333) Numerical simulation of the landslide-induced tsunami of +322
on Vulcano Island, Italy. Bull. Volcanol., 0+, +,+ῌ+-1.
Todesco, M., Neri, A., Ongaro, T.E., Papale, P., Macedonio,
G., Santacroce, R. and Longo, A. (,**,) Pyroclastic
ﬂow hazard assessment at Vesuvius (Italy) by using
numerical modeling. I. Large-scale dynamics. Bull.
Volcanol., 0., +//ῌ+11.
TU.@VD/"WX0YZ[ (,**0) 1
\2]3^_`abcde:;f4gh
&i5j )63k ,**0 7lm1no8
pq ,++.
96:/rs;t (+333) H73<=H
239
7uvwx
=5yz{F'<|= ([}
~ +1.p.
>1"?@ (,**/) 8AJb
B&F'
C +3
F'<
noDq +2ῌ+3
>EFE (+33*) G<

H I 0/ -,+ῌ.++.
J (,**-) K7
5:;L
7|=<=5 >? ..0p.
Valentine, G.A. and Wohletz, K.H. (+323) Numerical
models of Plinian eruption columns and pyroclastic
ﬂows. J. Geophys. Res., 3.B,, +201ῌ+221.
Wadge, G., Jackson, P., Bower, S.M., Woods, A.W. and
Calder, E. (+332) Computer simulations of pyroclastic
ﬂows from dome collapse. Geophys. Res. Lett., ,/, -011ῌ
-02*.
White, J.D.L., Smellie, J.L. and Clague, D.A. (,**-) Explosive subaqueous volcanism. Geophysical Monograph,
+.*, American Geophysical Union, Washington DC, -13
p.
Wohletz, K.H., McGetchin, T.R., Sandford, M.T. and
Jones, E.M. (+32.) Hydrodynamic aspects of calderaforming eruptions : numerical models. J. Geophys. Res.,
23B+*, 2,03ῌ2,2/.
MN DO (+322) FORTRAN & C
¡=PO )¢£¤yQ~ ,11p.
MN R¥¦§J (+33,) ¨©(

ST Uª«V +3,p.
MK (,**+) ¨©(
=¦¬4 nW~
-0*p.
MKXY Z (+332) [®D¯=¬
Uª«V +,2p.
B°\]±6^_16¥²³`´µ/
(+33*) aF'
µ£bcq
-. -3+ῌ-30.
Young, P. and Wadge, G. (+33*) FLOWFRONT : simulation of a lava ﬂow. Computer & Geosciences, +0, ++1+ῌ
++3+.

石 康 浩 Overview of Diverse Computer Simulations and their

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石康浩 Overview of Diverse Computer Simulations and their