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2m¼»¾ĞʾŭŮÍğ¶¾İƅ112-8551ÿsŮïsšõò1-13-27Ɔ Ƈ E-mail: [email protected]

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Key Words :Meshfree Method, Smoothed Particle Hydrodynamics, Moving Particle Semi-implicit

1.

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%9 3ƈ\PI_VbgâĒ*Ŭ£9Ɖ a F a e J _ + \ P I _ V b g â Ē ' % ƈ SPH(Smoothed Particle Hydrodynamics)ƈMPS(Moving Particle Semi-implicit),ÏÑÛġ:%9ƉSPHƈMPS,Ĵ

ÕÔ+Ží™]Rc=ġ9 3ƈØ7: ®•‡,ƈ kŌĚ)å—=9'Ĭ7:%92)ƉhñƈĪç ħ*æÕÔ+]Rc=ġ%aFaeJ_ÕÔ+ëů ñIJÔ=Ží™:-ƈŖĸĘ+—ė´£&ƈ ŖĸĦí9'Ĭ7:%9Ɖ

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(1) ;"('C,#

ĴÕÔ+]Rc+²üĈÜ,Ô(2.1)*²$%9Ɖ Ô(2.1)=Ží™9'ƈÔ(2.2)*)9Ɖ

φ(r )= φ(r'

)δ(r'

r )dr'

Ω (2.1)

φ(ri

)= 1 n0

φ(rj

)

j≠i w(rjri) (2.2)

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?e]RcØ7:9Ɖ

∇φ i= d n0

φj−φi

r

jr

i 2

j≠i (rjri)w(rjri) (2.3)

2φ

i= 2d

λn0

j−φi)

j≠i w(rjri) (2.4)

(2) *('C,#

üĭĵ,æÕÔ+Ží™]Rcm+ı—ùÅqn Ē=‚ġ9ƉæÕÔ+Ží™]Rc,æŵî+

ƒî&ُñIJÔ+ƀ=ŐƉ

φj−φi=a1xij+a2yij+a3xij2+a4xijyij+a5yij2 (2.5)

Ô(2.5)+6*ƈºƀÔ=ġ%ļ½ i+Ťˆ&æ 9ƉŤˆļ½+=‚-ƈæŵî+ƒî +ùÅqnèÀ‡Ø7:9Ɖ×"%ƈÔ(2.6)*į6

*QgagÆų=ġ:-ƈ7ُñIJÔ=

Ží™&9Ɖ

∇φ =(∂φ

∂x,∂φ

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(2.6)

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ļ½+}ň=ŨńÔ=ĕ 6*…Č9Ɖ

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Ťˆ+ļ½+łƆƈ,Ŗĸû+ļ½îÁÒ&

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Δt2(n*n0

n0 ) (3.1)

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(b)ļ½aeO[ůň:9

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üĭĵ,\PI_VbgŖĸâĒ*9ĴÕÔ'

æÕÔ+ĶŴŽí™]Rc=ĎŢ ƉĴÕÔ+Ķ ŴŽí™]Rc+Ŭ£Ý*6"%kŌĚ)®•êpĠ 9'=į Ɖ0 ƈæÕÔ+ĶŴŽí™]Rc

=‚ö*ƈŖĸĘ+}ň동9´£ƈŖĸ Ħí%0'=Įř Ɖ

:*Â%ƈüĭĵ,ðâĒ=éĆ ƉMPS Ē*ùÅqnĒ=Ċƈæ=ŏƉ:*6"%a FaeJ_ÕÔ+ëůñIJÔ=Ží™%4ƈŖĸĘ=

­À&9Ɖ

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$?-5

1)G.R.Liu Meshfree Methods, CRC Press, 2010, pp. 13-20.

2)ĝr, ޵Śh, ĄĢ§o, MPS Ē*9ƄĿ

ųĦ, ŖĸʾŜĖ{śïŻ, 17, C-2-2, 2012

- 176 -

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