土木学会論文集B2（海岸工学），Vol. 78, No. 2, I̲655─I̲660, 2022.

ࢫࣃ࣮ᆺᾋయ᭥⯟᫬ࡢືᦂゎᯒ࡟㛵ࡍࡿ◊✲ᑠᯘ ᣅ☻1࣭す⏿ ๛2࣭㔝ᓮ ᩥஓ31ṇ఍ဨ ஬ὒᰴᘧ఍♫ ᢏ⾡◊✲ᡤ㸦ࠛ329-2746 ᰣᮌ┴㑣㡲ሷཎᕷᅄ༊⏫1534-1㸧

E-mail:takuma.kobayashi@mail.penta-ocean.co.jp(Corresponding Author)
2ṇ఍ဨ ஬ὒᰴᘧ఍♫ ᢏ⾡◊✲ᡤ㸦ࠛ329-2746 ᰣᮌ┴㑣㡲ሷཎᕷᅄ༊⏫1534-1㸧

E-mail:takeshi.nishihata@mail.penta-ocean.co.jp
3ᰴᘧ఍♫IDAJ ゎᯒᢏ⾡8㒊 (ࠛ220-8137 ⚄ዉᕝ┴ᶓ὾ᕷす༊ࡳ࡞࡜ࡳࡽ࠸2-2-1-1-37F)

E-mail:nozaki.fumiya@idaj.co.jp

ࢫࣃ࣮ᆺᾋయᘧὒୖ㢼㌴ࡢ᪋ᕤ㐣⛬࡟࠾࠸࡚㸪ᾋయ〇సሙᡤ࠿ࡽእὒࡢ࢘࢕ࣥࢻࣇ࢓࣮࣒ᾏᇦࡲ࡛ࡢࢫࣃ࣮ᆺᾋయ᭥⯟᫬࡟࠾ࡅࡿືᦂ≉ᛶࢆᢕᥱࡋ㸪సᴗྍྰᇶ‽ࢆᐃࡵࡿᚲせࡀ࠶ࡿ㸬ࡑࡇ࡛㸪ᮏ◊✲࡛ࡣ㸪ᶓἼస⏝᫬ࡢࢫࣃ࣮ᆺᾋయ᭥⯟࡟㛵ࡍࡿỈ⌮ᶍᆺᐇ㦂⤖ᯝࢆᇶ࡟㸪OpenFOAM࡟ࡼࡿືᦂゎᯒࢆ⾜࠸㸪ྠゎᯒᡭἲ࡟ࡼࡿ෌⌧ᛶࢆ☜ㄆࡋࡓ㸬OpenFOAM࡟ࡼࡿゎᯒ࡛ࡣ㸪ಀ␃⣔ࡢᙳ㡪ࡀ༟㉺ࡍࡿRollingࡢືᦂ≉ᛶࢆᴫࡡ෌⌧࡛ࡁࡓ㸬ࡲࡓ㸪Ἴ㧗࡜Ἴ࿘ᮇ࡟㏣㝶ࡍࡿPitching࡜HeavingࡢືᦂࢆⰋዲ࡟෌⌧࡛ࡁࡿࡇ࡜ࡀศ࠿ࡗࡓ㸬ࡲࡓ㸪᭥⯟⣴࡟స⏝ࡍࡿᙇຊࡣ㸪◚᩿Ⲵ㔜࡟ᑐࡍࡿᏳ඲⋡ࢆ⪃៖ࡍࡿ࡜㸪Ᏻ඲タィ࡟౑⏝࡛ࡁࡿ⢭ᗘ࡛࠶ࡿࡇ࡜ࡀศ࠿ࡗࡓ㸬௨ୖࡢࡇ࡜࠿ࡽ㸪OpenFOAM࡟ࡼࡿ᭥⯟ゎᯒࡢ᭷⏝ᛶࡀ♧၀ࡉࢀࡓ㸬

Key Words : offshore wind turbine, OpenFOAM, Overset Mesh,interDyMFoam,linerSpringDamper

1. ࡣࡌࡵ࡟ィ⟬ࢥࢫࢺࡀ኱ࡁ࠸ࡶࡢࡢ㸪෌⌧ᛶࡀ㧗࠸ࡇ࡜ࢆ♧ࡋ࡚࠸ࡿ6)㸬

࣮࢝࣎ࣥࢽ࣮ࣗࢺࣛࣝࡢᐇ⌧࡟ྥࡅࡓ᭷ᮃ࡞෌⏕ྍ⬟ࡑࡇ࡛㸪ᮏ◊✲࡛ࡣ㸪ᶓἼస⏝᫬ࡢࢫࣃ࣮ᆺᾋయ᭥⯟࢚ࢿࣝࢠ࣮ࡢ୍ࡘ࡜ࡋ࡚㸪ὒୖ㢼ຊⓎ㟁ࡀὀ┠ࡉࢀ࡚࠸ࡿ㸬≉࡟ᾋయᘧὒୖ㢼ຊⓎ㟁ࡣ㸪╔ᗋᘧὒୖ㢼ຊⓎ㟁࡟࡟㛵ࡍࡿỈ⌮ᶍᆺᐇ㦂⤖ᯝࢆ᳨ドࢹ࣮ࢱ࡜ࡋ࡚㸪
OpenFOAM࡟ࡼࡿືᦂゎᯒࢆ⾜࠸㸪ྠゎᯒᡭἲࡢ෌⌧ᛶẚ࡭࡚࢚ࢿࣝࢠ࣮ࡢ㈿Ꮡ㔞ࡀ኱ࡁ࠸1)ࡓࡵ㸪ࡑࡢᑟධࡀࢆ☜ㄆࡍࡿࡇ࡜ࢆ┠ⓗ࡜ࡋࡓ㸬᪋ᕤ᫬ࡣ㸪෗┿-1ࡢࡼ࠺ᮇᚅࡉࢀ࡚࠸ࡿ㸬ࢫࣃ࣮ᆺᾋయᘧὒୖ㢼㌴ࡢ᪋ᕤ㐣⛬࡟࡟๓᪉࡛≌ᘬࡍࡿ୺᭥⯪࡜ᚋ᪉࡛ࣈ࣮ࣞ࢟࡞࡝ࡢไᚚࢆ࠾࠸࡚㸪ᾋయ〇సሙᡤ࠿ࡽእὒࡢ࢘࢖ࣥࢻࣇ࢓࣮࣒ᾏᇦᢸ࠺⿵ຓ᭥⯪ࡀ㓄⨨ࡉࢀࡿ㸬ᐇ㦂࡛ࡣ㸪୺᭥⯪࡜ᾋయ㛫ࡲ࡛ࡢࢫࣃ࣮ᆺᾋయ᭥⯟᫬࡟࠾ࡅࡿືᦂ≉ᛶࢆᢕᥱࡋ㸪ࡣᾋయഃ࡟2Ⅼಀ␃Ⅼࡀ࠶ࡿYᏐಀ␃㸪⿵ຓ᭥⯪࡜ᾋయసᴗྍྰᇶ‽ࢆᐃࡵࡿᚲせࡀ࠶ࡿ㸬≉࡟㸪ᶓἼࢆཷࡅࡿࡢ㛫ࡣVᏐ࡛ಀ␃ࡉࢀ࡚࠸ࡿ㸬ࡋ࠿ࡋ㸪OpenFOAMࡢᶆ㝿࡟㸪ᾋయࡢRollingࡀᠱᛕࡉࢀࡿࡓࡵ㸪᪋ᕤィ⏬⟶⌮ୖ㸪 ‽ࡢࣛ࢖ࣈࣛࣜࢆ⏝࠸ࡓሙྜ㸪⿵ຓ᭥⯪ഃࡢVᏐಀ␃ࡣ㠀ᖖ࡟㔜せ࡛࠶ࡿ㸬᪤ ࡢ◊✲࡛ࡣ㸪Ᏻ㔝ࡽ㸦2010㸧ࡸ෌⌧࡛ࡁࡿࡀ㸪᭥⯟࣮ࣟࣉࡀ஧⫤࡟ศ࠿ࢀࡓYᏐಀ␃࡛㐨๓ࡽ㸦2018㸧ࡀ㸪࣏ࢸࣥࢩࣕࣝ⌮ㄽ࡟ᇶ࡙ࡃ㛗኱ࢣ࣮ࡢゎᯒࢆᐇ᪋࡛ࡁ࡞࠸㸬ࡑࡇ࡛㸪OpenFOAM࡟YᏐಀ␃2) , 3)ࢯࣥ᭥⯟᫬ࡢືᦂゎᯒࢆ⾜ࡗ࡚࠸ࡿᶵ⬟ࢆᐇ⿦ࡋ㸪᪤ᏑࡢVᏐಀ␃࡜ࡋ࡚ゎᯒࡋࡓሙྜ࡜ࡢࡀ㸪㛗኱෇⟄ᵓẚ㍑ࢆ⾜࠸㸪ᐇົୖ࡛ࡢ᭷⏝ᛶࡢほⅬ࠿ࡽホ౯ࢆ⾜ࡗࡓ㸬㐀≀ࢆᑐ㇟࡜ࡋࡓᩘ್ゎᯒ࡟ࡼࡿࢩ࣑࣮ࣗࣞࢩࣙࣥ஦౛ࡣぢࡽࢀ࡞࠸㸬ᮏ◊✲ࡢᑐ㇟࡜࡞ࡿ෇ᰕᵓ㐀≀ࡢゎᯒᡭἲ࡜ࡋ࡚ࡣ㸪㠀ᵓ㐀᱁Ꮚࢆ⏝࠸ࡓᩘ್ゎᯒࢶ࣮ࣝࡀ᭷⏝࡛࠶ࡿ࡜⪃࠼ࡽࢀࡿ㸬౛࠼ࡤ㸪3ḟඖὶయຊᏛࢶ࣮࡛ࣝ
࠶ࡿOpenFOAM4)ࡣ㸪௵ពከ㠃యࡢ㠀ᵓ㐀᱁Ꮚ࡟ᑐᛂࡋࡓ᭷㝈య✚ἲࢆ⏝࠸࡚࠸ࡿࡓࡵ㸪」㞧ᙧ≧࡛ࡢゎᯒࡀᐜ࡛᫆࠶ࡿ5)㸬ຍ࠼࡚㸪࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔࡛࠶ࡿࡓࡵ㸪ࢥ࣮ࢻࢆኚ᭦ࡋ࡚ᶵ⬟ࢆᣑᙇ࡛ࡁࡿࡇ࡜ࡶ≉ᚩ࡛࠶ࡿ㸬ᶫᮏࡽ㸦2020㸧ࡣ㸪ࢡ࣮ࣞࣥ⯪ࢆᑐ㇟࡜ࡋࡓỈ෗┿-1 ࢫࣃ࣮ᆺᾋయ᭥⯟᫬ࡢᵝᏊ⌮ᶍᆺᐇ㦂࡞ࡽࡧ࡟OpenFOAM࡟ࡼࡿ෌⌧ゎᯒࢆᐇ᪋ࡋ㸪㸦https://www.youtube.com/watch?v=RHcy4uOEdKY㸧

4-1

ǹȑȸ‫˳ූ׹‬ǹȑȸࢲᲴOᙀя୻ᑔᲢ̞သˮፗᲣ

8‫̞܌‬သǹȑȸᧈᲴO;‫̞܌‬သɼ୻ᑔᲢཏࡽˮፗᲣ
෗┿-2 ᐇ㦂ᴫἣࣝ㸸5.0 ktҸ2.57 m/s㸧ࡢ3ࢣ࣮ࢫ࡛ᐇ᪋ࡋࡓ㸬ᮏ◊✲࡛ࡣ㸪௦⾲ⓗ࡞ࢣ࣮ࢫ࡜ࡋ࡚㸪࿘ᮇ0.99 s㸪᭥⯟㏿ᗘ0.22 m/s᳨࡛ドࡋࡓ㸬(2) ゎᯒᡭἲ

ᅗ-1 ᐇ㦂ᖹ㠃ᅗ㸦༢఩㸸mm㸧ͤ⦰ᑻ 1/50

 ゎᯒ࡟ࡣ㸪OpenFOAM㸦v2012㸧ࡢinterDyMFoamࢯࣝࣂ࣮ࢆ⏝࠸ࡓ㸬interDyMFoamࡣ㸪㠀ᅽ⦰ᛶࡢẼ┦࣭ᾮ┦ࡢ⾲-1 ᾋయㅖඖ㸦⦰ᑻ 1/50㸧஧┦ὶࢯࣝࣂ࣮㸦interFoam㸧࡟㔜ྜ᱁Ꮚ㸦overset࣓ࢵࢩ

㛗ࡉ L

2.6 m

┤ᚄ Φ

0.33 mࣗ㸧ἲࡢᶵ⬟ࡀ㏣ຍࡉࢀࡓࡶࡢ࡛࠶ࡾ㸪⮬⏤⾲㠃ὶࢀࢆゎᯒࡍࡿᡭἲ࡜ࡋ࡚㸪VOF㸦Volume of Fluid㸧ἲ7)ࡀ⏝࠸ᖹᆒႚỈ d0.064 m

ࡽࢀ࡚࠸ࡿ㸬᤼Ỉ㔜㔞 W27.17 kg័ᛶ࣮࣓ࣔࣥࢺ I

0.57 kg࣭mt㸦㛗ᡭ᪉ྥ㍈࿘ࡾ㸧
22.04 kg࣭mt㸦ᶓ᪉ྥ㍈࿘ࡾ㸧21.86 kg࣭mt㸦㖄┤᪉ྥ㍈࿘ࡾ㸧㔜ᚰ㧗ࡉ KG

0.165 mᾋయࡢ6⮬⏤ᗘ๛య㐠ືィ⟬࡟ࡣ㸪OpenFOAM࡟ᐇ⿦ࡉࢀ࡚࠸ࡿsixDoFRigidBodyMotionࢯࣝࣂ࣮ࢆ⏝࠸࡚㸪ὶయຊ㸪㔜ຊ࠾ࡼࡧಀ␃⣴ࡢᙇຊࡀస⏝ࡋ࡚⏕ࡌࡿᾋయࡢ㐠ືࢆィ⟬ࡋࡓ㸬ᾋయࡢ㐠ືࡣ㸪㔜ᚰࡢ୪㐍㐠ື࡛࠶ࡿ
ᘧ(1)࡜㔜ᚰ࿘ࡾࡢᅇ㌿㐠ື࡛࠶ࡿᘧ(2)ࡢ㐠ື᪉⛬ᘧࢆゎࡃࡇ࡜࡛⟬ฟࡋࡓ㸬

2. ◊✲ᡭἲ  =   ( = 1,2,3)
 (1) (2)=   ( = 1,2,3)(1) Ỉ⌮ᶍᆺᐇ㦂ᴫせ ᐇ㦂ࡣ㸪ᖹ㠃Ỉᵴ㸦L=30 m, B=20 m, H=1.0 m㸧ࢆ⏝࠸࡚㸪 ࡇࡇ࡛㸪ῧ࠼Ꮠࡢ ࡣᗙᶆ㍈ࡢ␒ྕ㸪 ࡣᾋయࡢ㉁㔞
ࣇ࣮ࣝࢻࡢ┦ఝ๎࡟ᇶ࡙ࡃ1/50ࢫࢣ࣮࡛ࣝᐇ᪋ࡋࡓ㸦ᅗ㸦kg㸧㸪 ࡣ㔜ᚰᗙᶆ㸦m㸧㸪 ࡣᾋయ⾲㠃࡟స⏝ࡍࡿ1㸧㸬Ỉ୰࡟ᩜタࡋࡓ࣮ࣞࣝ࡟ἢࡗ࡚ྎ㌴ࢆ୍ᐃ㏿ᗘ࡛ὶయຊ࡜ᾋయࡢ㔜ຊ࠾ࡼࡧಀ␃⣴ࡢᙇຊࡢྜຊ㸦N㸧㸪⯟⾜ࡉࡏ㸪Ỉ୰ࡢྎ㌴࠿ࡽẼ୰࡟ᨭᰕࢆᙇࡾฟࡋ㸪ࢫࣃ ࡣ୺័ᛶ࣮࣓ࣔࣥࢺ㸦kg࣭mt㸧㸪  ࡣྛ័ᛶ୺㍈࿘ࡾ࣮ᆺᾋయ࡜᭥⯟࣮ࣟࣉ࡛㐃⤖ࡍࡿࡇ࡜࡛୺᭥⯪࠾ࡼࡧ⿵ࡢᅇ㌿ゅ㸦rad㸧㸪  ࡣྛ័ᛶ୺㍈࿘ࡾࡢὶయຊ࣭ಀ␃

ຓ᭥⯪ࡢ≌ᘬ㸪ಀ␃ࢆᶍᨃࡋ࡚࠸ࡿ㸬᭥⯟࣮ࣟࣉࡣ㸪ࣂࣥࢥ࣮ࢻφ4 mm㸦࣏ࣜ࢘ࣞࢱࣥ㸧ࢆ⏝࠸࡚㸪๓ࡢ୺᭥⯪⣴ࡢᙇຊ࡟ࡼࡿ࣮࣓ࣔࣥࢺ࡛࠶ࡿ㸬

ഃࡣYᏐಀ␃㸪ᚋࢁࡢ⿵ຓ᭥⯪ഃࡣVᏐ࡛ಀ␃ࡋࡓ㸦෗ࡣ㸪࣓ࢵࢩ࣮ࣗࣔࣇ࢕ࣥࢢ㸦⛣ື࣓ࢵࢩࣗ㸧࡟ࡼࡿ᪉ἲ

┿-2㸧㸬ࢫࣃ࣮ᆺᾋయ࡟㛵ࡍࡿ୺࡞ㅖඖࢆ⾲-1࡟♧ࡍ㸬Ỉ῝ࡣ0.8 m㸪Ἴࡣつ๎Ἴ࡛㸪Ἴ㧗 30 mm㸪Ἴ࿘ᮇࡣ0.71 s࡜㔜ྜ᱁Ꮚἲࡀ⪃࠼ࡽࢀࡿ㸬ᮏゎᯒᑐ㇟ࡣ୪㐍⛣ື㔞ࡀ㸦⌧ᆅࢫࢣ࣮ࣝ㸸5.0 s㸧㹼 1.27 s㸦⌧ᆅࢫࢣ࣮ࣝ㸸9.0 s㸧ࡢ⠊ᅖࢆ⌧ᆅࢫࢣ࣮ࣝ᥮⟬࡛1.0 s㛫㝸࡟࡞ࡿࡼ࠺࡟タᐃ◚⥢ࡸィ⟬⢭ᗘపୗࡀၥ㢟࡜࡞ࡿྍ⬟ᛶࡀ㧗࠸࡜⪃࠼ࡽࡋ㸪Ἴࡢධᑕゅࡣ90r㸦ᕥ⯨ഃ㸧࡜ࡋࡓ㸬᭥⯟㏿ᗘࡣ
0.11 m/s㸦⌧ᆅࢫࢣ࣮ࣝ㸸1.5 ktҸ0.77 m/s㸧㸪0.22 m/s㸦⌧ࡏࡿࡇ࡜࡞ࡃ⛣ື≀యィ⟬ࢆ⾜࠺ࡇ࡜ࡀ࡛ࡁࡿ㔜ྜ᱁Ꮚᆅࢫࢣ࣮ࣝ㸸3.0 ktҸ1.54 m/s㸧㸪0.36 m/s㸦⌧ᆅࢫࢣ࣮ࡍࡼ࠺࡟㸪ᖹ㠃Ỉᵴ㡿ᇦ࡟ᑐᛂࡍࡿBackground࣓ࢵࢩࣗᮏ◊✲ࡢࡼ࠺࡞⛣ື≀యၥ㢟࡟ᑐࡍࡿゎᯒᡭἲ࡜ࡋ࡚኱ࡁࡃ㸪࣮ࣔࣇ࢕ࣥࢢ࡛ࡣࢭࣝရ㉁ࡢపୗ࡟ࡼࡿィ⟬ࡢࢀࡿ㸬ࡑࡇ࡛ᮏ◊✲࡛ࡣ㸪≀య࿘ࡾࡢ࣓ࢵࢩࣗࢆኚᙧࡉἲࢆ᥇⏝ࡋࡓ㸬ࡇࡢᡭἲ࡛ࡣ㸪ゎᯒ࣓ࢵࢩࣗࡣᅗ-2࡟♧

4-2

ᅗ-2 Background ࡜ Overset࣓ࢵࢩࣗ㡿ᇦ࣓ࢵࢩࣗ

ᅗ-4 YᏐಀ␃⣴ࣔࢹࣝBox㸧ᮌࢆ౑⏝ࡋ㸪࣮࢜ࣂ࣮ࣛࢵࣉࡍࡿࢭࣝయ✚ࢆ㔜ࡳ࡜ࡋ࡚⿵㛫ィ⟬ࡍࡿࡶࡢ࡛࠶ࡾ㸪≀⌮㔞ࡢಖᏑᛶࡀⰋ࠸ࡀ㸪௚ࡢᡭἲ࡟ẚ࡭࡚㔜ࡳࡢィ⟬࡟᫬㛫ࢆせࡍࡿ㸬ࡶ࠺୍᪉ࡢinverseDistanceࡣ㸪ࢭࣝ୰ᚰ㛫ࡢ㊥㞳ࡢ㏫ᩘࢆ㔜ࡳ࡜ࡋࡓࡶࡢ࡛㸪ィ⟬᫬㛫ࡀ▷࠸ࡀィ⟬ᏳᐃᛶࡣcellVolumeWeight ࡟ẚ࡭ࡿ࡜ຎࡿഴྥࡀ࠶ࡿ 9)㸬
ࡲࡓ㸪ࢫࣃ࣮࡟స⏝ࡍࡿእຊࡢ 1 ࡘ࡛࠶ࡿಀ␃⣴࡟ࡼࡿᙇຊࡣ㸪6 ⮬⏤ᗘ๛య㐠ືィ⟬ࡢ restraints ࣔࢹࣝࢆ౑

ᅗ-3 ࣓ࢵࢩࣗࡢࢭࣝࢱ࢖ࣉ⏝ࡋ⪃៖ࡋࡓ㸬౑⏝ࡋࡓ linearSpringDamper ࣔࢹ࡛ࣝࡣ㸪㸦㟷Ⰽ㸧࡜ࢫࣃ࣮࿘ᅖࡢOverset࣓ࢵࢩࣗ㸦ᶳⰍ㸧࠿ࡽᵓᾋయࡢಀ␃Ⅼ࡜᭥⯪ࡢಀ␃Ⅼ㛫ࡢ┤⥺㊥㞳ࡀ࣮ࣟࣉࡢ⮬ᡂࡉࢀࡿ㸬ࡇࢀࡽࡢ࣓ࢵࢩࣗ㡿ᇦࡣᙧ≧ⓗ࡟࣮࢜ࣂ࣮ࣛ↛㛗ࡼࡾ㛗ࡃ࡞ࡗࡓሙྜ࡟㸪ḟࡢᘧ(3)࠾ࡼࡧᘧ(4)࡛♧ࢵࣉࡋ࡚࠸ࡿࡀ㸪㐃⤖ࡣࡋ࡚࠸࡞࠸㸬㔜ྜ᱁Ꮚἲࡢィ⟬ࡍᙇຊ࡜ῶ⾶ຊࢆᾋయࡢ᥋⥆Ⅼ࡟స⏝ࡉࡏࡿ㸬࡛ࡣ㸪ࡇࢀࡽࡢᙧ≧ⓗ࡟⊂❧ࡋࡓ࣓ࢵࢩࣗ㛫࡛஫࠸࡟≀⌮㔞ࡢ⿵㛫್ࢆཷࡅΏࡋ࡞ࡀࡽ㸪㐃ಀࡋ࡚ィ⟬ࢆ⾜࠺㸬−࣓ࢵࢩࣗ㛫࡛ࡢ≀⌮㔞ࡢ⿵㛫ィ⟬࡟౑⏝ࡍࡿࢭࣝࡢ᥈⣴ (| | −) −ࡸBackground࣓ࢵࢩࣗ࡟࠾࠸࡚ィ⟬㡿ᇦእ࡜࡞ࡿࢫࣃ࣮
 = ෆ㒊ࡢࢭࣝ㸦Hole㸧ࡢ᳨ฟ࡞࡝ࡢฎ⌮ࡶ⾜ࢃࢀࡿ㸬interDyMFoamࢆᐇ⾜ࡍࡿ࡜㸪ᅗ-3࡟♧ࡍࡼ࠺࡟㸪␗࡞

2 ( ) 

(3)

(4)

ୖᘧ(4)ࡢ➨୍㡯ࡀࡤࡡ࡟ࡼࡗ࡚స⏝ࡍࡿᙇຊ㸪➨஧㡯ࡿฎ⌮ࡀ⾜ࢃࢀࡿࢱ࢖ࣉẖ࡟ࢭࣝࡢศ㢮ࡀ⮬ືⓗ࡟⾜ࢃࡀῶ⾶ຊ࡛࠶ࡿ㸬ࡇࡇ࡛㸪ࡣᾋయࡢ㉁㔞㸦kg㸧㸪ࡣࢀࡿ㸬ࡇࡇ࡛㸪ୖࡀBackgroundഃࡢ࣓ࢵࢩࣗ㸪ୗࡀ
Oversetഃࡢ࣓ࢵࢩࣗࡢ᩿㠃ᅗ࡛࠶ࡾ㸪ẚ㍑ࡢࡓࡵ࡟ࢫࣃ
࣮ࡢᙧ≧ࢆ㔜ࡡ࡚⾲♧ࡋ࡚࠸ࡿ㸬㟷Ⰽ࡛♧ࡋࡓࢭࣝࡣ㸪ಀ␃⣴ࡢᮏᩘ㸪 ࡣ᭥⯪ࡢಀ␃Ⅼ࠿ࡽぢࡓᾋయಀ␃Ⅼࡢ┦ᑐ఩⨨࣋ࢡࢺࣝ㸦m㸧㸪  =  ⁄| |ࡣ ࢆṇつ໬ࡋࡓ㏻ᖖ㏻ࡾὶࢀࡢᨭ㓄᪉⛬ᘧࢆ㞳ᩓ໬ࡋ࡚ゎ࠿ࢀࡿ㸬ⓑⰍ࣋ࢡࢺࣝ㸪 ࡣᾋయಀ␃఩⨨㏿ᗘ㸦m/s㸧㸪 ࡣಀ␃⣴࡛♧ࡋࡓࢭ࡛ࣝࡣ㸪┦ᡭഃࡢ࣓ࢵࢩࣗࡢᑐᛂࡍࡿࢭࣝ࠿ࡢ⮬↛㛗㸦m㸧㸪 ࡣῶ⾶ẚ㸪 ࡣ᣺ືᩘ㸦Hz㸧㸪ࡣࡽ≀⌮㔞ࡀ⿵㛫ࡉࢀࡿ㸬㉥Ⰽ࡛♧ࡋࡓࢭࣝࡣ㸪≀యෆ㒊ࡤࡡᐃᩘ㸦N/m㸧ࢆ⾲ࡍ㸬ᐇ㦂࡛ィ ࡉࢀࡓ๓ᚋࡢ᭥⯪࡜ࡋ࡚ㄆ㆑ࡉࢀࡓHoleࡢࢭ࡛ࣝ࠶ࡾ㸪ィ⟬㡿ᇦእࡢᢅ࠸ࡢ఩⨨ᗙᶆࡢ᫬⣔ิࢹ࣮ࢱࢆ᭥⯪ࡢಀ␃Ⅼ఩⨨࡜ࡋ࡚୚࡜࡞ࡾὶయィ⟬ࡣ⾜ࢃࢀ࡞࠸㸬࠼ࡿࡇ࡜࡟ࡼࡾᾋయࡢ᭥⯟ࢆࣔࢹࣝ໬ࡋࡓ㸬
OpenFOAMࡢᶆ‽ࢯࣝࣂ࣮࡛ࡣ㸪VᏐಀ␃ࡢࡼ࠺࡟2Ⅼࡇࢀࡽࡢࢭࣝࢱ࢖ࣉࡢศ㢮ฎ⌮ࡸ࣓ࢵࢩࣗ㛫࡛ࡢ≀⌮cellVolumeWeight㸪inverseDistance ࡞࡝ࡢᡭἲࡀᐇ⿦ࡉࢀ࡚㛫ࢆ┤⥺࡛⤖ࡪಀ␃ࣔࢹࣝࡋ࠿෌⌧࡛ࡁ࡞࠸㸬ࡑࡇ࡛㸪
linearSpringDamperࣔࢹࣝ࡜ྠᵝ࡟⮬↛㛗࠿ࡽఙࡧࡀ࠶ࡿ࠸ࡿ㸬ᮏ◊✲࡛౑⏝ࡋࡓ cellVolumeWeight ࡣ㸪࣮࣎ࣜࣗሙྜࡢࡳ㸪ࡤࡡຊ࡜ῶ⾶ຊࡀస⏝ࡍࡿ㟼ⓗ࡞YᏐಀ␃⣴࣒࣓ࢵࢩࣗࡢ㔜࡞ࡾุᐃ࡟ AABB㸦Axis-Aligned Bounding

ࣔࢹࣝࢆOpenFOAM࡟ᐇ⿦ࡋࡓ㸦ᅗ-4㸧㸬ࡇࡢࣔࢹࣝࡣ㸪㔞ࡢ⿵㛫ィ⟬ࢆ⾜࠺ᡭἲ࡜ࡋ࡚㸪 OpenFOAM ࡟ࡣ4-3㐀Ἴ᭥⯟䝻䞊䝥䠄㛗䛥䠖0.41 m䠅㐍⾜᪉ྥ
䝻䞊䝥1Heave᭥⯟䝻䞊䝥䠄㛗䛥䠖2.0 m䠅

䝻䞊䝥2Pitch Sway䜰䞁䜹䞊᥋⥆఩⨨䠄⿵ຓ᭥⯪䠅Yaw䝇䝟䞊ᆺᾋయ䜰䞁䜹䞊᥋⥆఩⨨䠄୺᭥⯪䠅㐀Ἴ᭥⯟䝻䞊䝥䠄㛗䛥䠖0.61 m䠅

SurgeRoll

䝻䞊䝥1᭥⯟䝻䞊䝥䠄㛗䛥䠖0.41 m䠅᭥⯟䝻䞊䝥䠄㛗䛥䠖1.4 m䠅

䝻䞊䝥2 ศᒱⅬ

ᅗ-5 OpenFOAM ࡢゎᯒࣔࢹࣝ㸦ୖ㸸V Ꮠಀ␃ࡢࢣ࣮ࢫ㸪ୗ㸸YᏐಀ␃ࡢࢣ࣮ࢫ㸧࣓ࢵࢩࣗ࡜ẚ㍑ࡋ࡚ᩘ್ⓗ࡞Ἴࡢ཯ᑕࢆపῶࡍࡿࡇ࡜ࡀᣑ኱⠊ᅖ࡛ࡁࡿ㸬ࡲࡓ㸪6㠃యࡢ࣓ࢵࢩࣗࡼࡾࡶ࣓ࢵࢩࣗᩘࢆᑠࡉࡃ࡛ࡁࡿࡓࡵ㸪ィ⟬ࢥࢫࢺࡀ๐ῶ࡛ࡁࡿ10)㸬ຍ࠼࡚㸪࣓ࢵࢩࣗᩘࡢቑຍࢆᢚไࡋ࡞ࡀࡽ㸪Ἴ㧗ࡢῶ⾶ࢆᢚ࠼࡚Ἴࡢఏ᧛ࡢィ⟬⢭ᗘࢆⰋࡃࡍࡿࡓࡵ㸪ึᮇࡢỈ㠃఩⨨ࡢ
ୖୗ࡟0.01 mࡢࣞ࢖࣮࣓ࣖࢵࢩࣗࢆ3ᒙࡎࡘ⏕ᡂࡋࡓ㸬ᣑ኱ᅗ㐀Ἴቃ⏺࡛ࡣ㸪StokesἼࡢ➨2ḟ㏆ఝゎ㸦StokesIIࣔࢹࣝ㸧ࢆ౑⏝ࡋ࡚つ๎Ἴࡢ㐀Ἴࢆ⾜ࡗࡓ㸬ὶฟቃ⏺࡛ࡣ㸪཯ᑕἼࡢᙳ㡪ࢆᑠࡉࡃࡍࡿࡓࡵ㸪Ἴࡢ྾཰ቃ⏺᮲௳࡛࠶ࡿ
shallowWaterAbsorption᮲௳ࢆ౑⏝ࡋࡓ㸬ࡇࡢቃ⏺᮲௳࡛ࡣ㸪཯ᑕἼ࡟ࡼࡿỈ㠃㧗ࡉࡢኚ໬ࢆ┦ẅࡍࡿࡼ࠺࡟ቃ⏺
ᅗ-6 ennova for CFD ࡟ࡼࡿࢫࣃ࣮ࡢ࣓ࢵࢩࣗసᡂἲ⥺᪉ྥࡢὶ㏿ᡂศࢆᘧ(5)࡟ࡼࡾ⿵ṇࡍࡿ㸬|| =  ℎᅗ࡟♧ࡋࡓ(A)㹼(C)ࡢ3ࡘࡢ≧ἣࢆ⪃៖ࡋ࡚࠸ࡿ㸬ࡑࡢࡓࡵ࡟㸪ఙࡧࡀ↓࠸ሙྜࡶྵࡵศᒱⅬ࡟࠾ࡅࡿࡤࡡຊࡢ㟼(5)ⓗ࡞ࡘࡾྜ࠸ᘧ࠿ࡽࡑࡢ᥎ᐃ఩⨨ࢆồࡵ㸪ࡑࡢ఩⨨࡜࢔ࡇࡇ࡛㸪 ࡣ཯ᑕἼ࡟ࡼࡿỈ఩ࡢኚ໬㸦m㸧㸪ℎࡣỈ῝࣮ࣥ࢝Ⅼ࠾ࡼࡧࢫࣃ࣮᥋⥆Ⅼ㛫ࡢ┤⥺㊥㞳㸪⮬↛㛗ࡢ኱㸦m㸧㸪ࡣ㔜ຊຍ㏿ᗘ㸦m/s2㸧࡛࠶ࡿ㸬 ࡣ㸪㐀Ἴࣔᑠ㛵ಀ࠿ࡽ㸪3ࡘࡢ≧ἣࢆሙྜศࡅࡋࡓ㸬ࡑࡋ࡚㸪⮬↛ࢹࣝ࠿ࡽồࡲࡿ┠ᶆỈ఩࡜ቃ⏺㞄᥋ࢭࣝࡢVOF್࠿ࡽホ㛗ࡼࡾఙࡧ࡚࠸ࡿಀ␃⣴ࡢࢫࣃ࣮᥋⥆Ⅼ࡟࠾࠸࡚㸪ᘧ(4)࠾ࡼࡧᘧ(5)ࡼࡾィ⟬ࡋࡓຊࢆస⏝ࡉࡏࡓ㸬୺᭥⯪ഃ౯ࡋࡓᐇ㝿ࡢỈ఩࡜ࡢᕪࢆྛ᫬㛫࡟࠾࠸࡚⟬ฟࡋࡓ್࡛

ࡢVᏐಀ␃࡞ࡽࡧ࡟YᏐಀ␃ࡢᕥ⯨ഃ࡜ྑ⯨ഃࢆࡑࢀࡒࢵࣉ᮲௳࡜ࡋ㸪ᗏ㠃ࡣ⁥ࡾ↓ࡋቨ㠃㸪ୖ㠃ࡣ኱Ẽ㛤ᨺ᮲ࢀ࣮ࣟࣉ1㸪࣮ࣟࣉ2࡜ᐃ⩏ࡋ㸪ᐇ㦂࡛ィ ࡋࡓᙇຊ࡜ẚ௳ࢆࡑࢀࡒࢀタᐃࡋࡓ㸬ゎᯒ㡿ᇦࡣ㸪ᾋయ࠿ࡽ1Ἴ㛗⛬ᗘ㞳ࢀࡓ఩⨨ࢆ㐀Ἴቃ⏺࡜ࡋ࡚㸪L=20 m㸪B=11 m㸪࠶ࡿ㸬ഃ㠃ࡣ㸪ቨ㠃᥋⥺᪉ྥࡢ㏿ᗘ໙㓄ࢆ0࡜ࡍࡿࢫࣜ㍑ࡋࡓ㸬௨ୖࢆࡲ࡜ࡵࡓゎᯒࣔࢹࣝࢆᅗ-5࡟♧ࡍ㸬

H=1.2 m࡜ࡋࡓ㸬linearSpringDamperࣔࢹࣝࡢࡤࡡᐃᩘ ࡣ㸪(3) ィ⟬᮲௳ᐇ㦂᫬࡟ィ ࡋࡓ್㸦181.6 N/m㸧ࢆ⏝࠸ࡓ㸬࣮ࣟࣉࡢ≉࣓ࢵࢩࣗ⏕ᡂ࠾ࡼࡧゎᯒタᐃ࡟ࡣ㸪ennovaCFD forOpenFOAMࢆ౑⏝ࡋࡓ㸬ィ⟬᫬㛫㛫㝸ࡣ㸪ࢫࢸࢵࣉẖ࡟ᛶୖ㸪᣺ືࡣᑠࡉ࠸࡜⪃࠼࡚ࡤࡡࡢῶ⾶ẚ ࡣ1.0࡜ࡋࡓ㸬᭦᪂ࡉࢀ㸪ࢡ࣮ࣛࣥᩘࡀ1.0ࢆ㉸࠼࡞࠸ࡼ࠺࡟⮬ືㄪᩚ
ࡋࡓ㸬Background㡿ᇦࡢ࣓ࢵࢩࣗࢧ࢖ࢬࡣ㸪Ἴ㛗ࢆ⣙30
3. ゎᯒ⤖ᯝ
ศ๭ࡍࡿ0.05 mࢆᇶᮏ࡜ࡋ㸪཯ᑕἼࡢᙳ㡪ࢆᢚ࠼ࡿࡓࡵ㸪 ὶฟቃ⏺࡟㏆࡙ࡃ࡟ࡘࢀ࡚ࢧ࢖ࢬࢆ኱ࡁࡃࡋࡓ㸦᭱኱
0.3 m㸧㸬ィ⟬᱁Ꮚࡣ㸪࣏ࣜ࣊ࢻࣛࣝᙧ≧ࢆ᥇⏝ࡋࡓᐇ㦂್࡜ゎᯒ⤖ᯝ㸦VᏐಀ␃㸪YᏐಀ␃㸧࡟࠾ࡅࡿ
Rolling㸪Pitching㸪Heavingࡢ᫬⣔ิࢹ࣮ࢱࡢẚ㍑ࢆᅗ-7࡟

㸦ᅗ-6㸧㸬࣏ࣜ࣊ࢻ࣓ࣛࣝࢵࢩࣗࡣ㸪㞄᥋ࡍࡿࢭࣝࡢ࣎

♧ࡍ㸬Rollingࡢ᭱኱᣺ᖜ࡟╔┠ࡍࡿ࡜㸪ᐇ㦂್࡛ࡣ⣙
3.7r㸪VᏐಀ␃᫬ࡣ⣙5.5r㸪YᏐಀ␃᫬ࡣ⣙5.9r࡛࠶ࡾ㸪࣮࣒ࣜࣗࢆ⁥ࡽ࠿࡟ኚ໬ࡉࡏࡽࢀࡿࡓࡵ㸪࢜ࢡࢺࢶ࣮ࣜ

4-4

ゎᯒ䠄YᏐಀ␃䠅ධᑕἼᙧ䠄ゎᯒ䠅

20
10022

24

26

28

30

32

34

36

38

40

-10

0.5

10
0-0.531

32

33

34

35

36

37

38

39

40

-10-1-20

20

20

10

100

0-10303132

33

3435

3637

38

39

40-10

Ỉ఩䠄mm䠅

20Ỉ఩䠄mm䠅

-20130Ỉ఩䠄mm䠅

ゎᯒ䠄VᏐಀ␃䠅0Heaving(mm)Pitching(deg)Rolling(deg)ᐇ㦂್64
20-2 20-4-6-20-20᫬㛫䠄s䠅

ᅗ-7 Ἴ㧗mm㸪࿘ᮇ 0.99 sࡢᐇ㦂⤖ᯝ࡜ゎᯒ⤖ᯝࡢ᫬⣔ิືᦂ㔞㸦ୖẁ㸸Rolling㸪୰ẁ㸸Pitching㸪ୗẁ㸸Heaving㸧ィ⟬್ࡢ᪉ࡀ኱ࡁࡃ࡞ࡗ࡚࠸ࡿ㸬ࡋ࠿ࡋ㸪Rollingࡢືᦂ࿘ᮇ࡟╔┠ࡍࡿ࡜㸪ᐇ㦂᫬ࡢືᦂ࿘ᮇࡣ14 s⛬ᗘ࡛࠶ࡾ㸪ᐇ㦂್䝻䞊䝥1䠄ᕥ⯨ഃ䠅

ࡿࡇ࡜㋃ࡲ࠼ࡿ࡜㸪ᴫࡡ୍⮴ࡋ࡚࠸ࡿ㸬ᐇ㦂࡛ࡣධᑕἼ
ࡼࡾࡶಀ␃⣔ࡢᙳ㡪ࡀ༟㉺ࡍࡿࡇ࡜࡟ࡼࡾ㸪ಀ␃⣔ࢆྵࡵࡓᅛ᭷࿘ᮇ14 s௜㏆࡛ࡢືᦂࡀ⏕ࡌࡓ࡜᥎ᐹࡉࢀࡿࡀ㸪

ᙇຊ䠄N䠅

VᏐಀ␃࡞ࡽࡧ࡟YᏐಀ␃ࡢゎᯒ࡟࠾࠸࡚ࡶ16 s⛬ᗘ࡛࠶ゎᯒ⤖ᯝ࡟࠾࠸࡚ࡶ㸪ࡇࡢࡼ࠺࡞ಀ␃⣔࡟ࡼࡿືᦂ≉ᛶ

30ࢆᐃᛶⓗ࡟෌⌧࡛ࡁ࡚࠸ࡿ࡜⪃࠼ࡽࢀࡿ㸬ḟ࡟㸪Pitching32ࡢ⤖ᯝࢆぢࡿ࡜㸪ᐇ㦂್࡜YᏐಀ␃᫬࡛ࡣ㸪᭱኱᣺ᖜࡀ
⣙0.2r࡛࠶ࡾ㸪ᴫࡡ୍⮴ࡋ࡚࠸ࡿ㸬VᏐಀ␃᫬ࡣ㸪᭱኱ᙇຊ䠄N䠅᣺ᖜࡀ⣙0.5r⛬ᗘ࡛㐣኱࡟࡞ࡗ࡚࠸ࡿ㸬ࡲࡓ㸪ゎᯒ࡛ࡣᐇ㦂࡜఩┦ࡀࡎࢀ࡚࠸ࡿࡶࡢࡢ㸪ᐇ㦂࡜ྠᵝ࡟Ἴ࿘ᮇ0.99 s⛬ᗘ࡛ືᦂࡋ࡚࠾ࡾ㸪ືᦂࡢ࿘ᮇࡣᴫࡡ෌⌧࡛ࡁ

䝻䞊䝥2䠄ྑ⯨ഃ䠅

3
2.5
21.5
10.50࡚࠸ࡿ࡜࠸࠼ࡿ㸬᭱ᚋ࡟㸪Heavingࡢ⤖ᯝ࡟╔┠ࡍࡿ࡜㸪ᐇ㦂ࡢືᦂ㔞࡞ࡽࡧ࡟ືᦂ࿘ᮇࡣ㸪ධᑕἼࡢἼ㧗30 mm㸪

34

36
᫬㛫䠄s䠅

38

40

38

40

3840

VᏐゎᯒ

3
2.5
2
1.5
10.503032

Ἴ࿘ᮇ0.99 s࡟㏣㝶ࡋ࡚࠸ࡿ㸬ゎᯒ್࡟࠾࠸࡚ࡶ㸪ྠᵝ3436
᫬㛫䠄s䠅ࡢᣲືࢆ♧ࡋ࡚࠾ࡾ㸪Heavingࡢືᦂ≉ᛶࢆⰋዲ࡟෌⌧YᏐゎᯒ࡛ࡁ࡚࠸ࡿ࡜࠸࠼ࡿ㸬ᙇຊ䠄N䠅࡜ࡇࢁ࡛㸪ᮏ◊✲࡛ᑐ㇟࡜ࡍࡿࡼ࠺࡞෇ᰕᵓ㐀≀ࡣ㸪Roll᪉ྥ࡟኱ഴᩳࡋ࡚ࡶἐỈ㒊ศࡢᙧ≧ࡀኚ໬ࡋ࡞࠸ࡓࡵ㸪⯪⯧࡜ࡣ␗࡞ࡾ㌿そࡢᜍࢀࡀ࡞࠸㸬ࡑࡢࡓࡵ㸪ᐇ᪋ᕤࢆ᝿ᐃࡋࡓࢩ࣑࣮ࣗࣞࢩࣙࣥ᫬࡟☜ㄆࡍ࡭ࡁ஦㡯࡜ࡋ࡚㸪90r௨ୖࡢ኱ഴᩳ࡟ࡼࡗ࡚᭥⯟἞ල࡟㐣ᗘ࡞㠃Ⲵ㔜

3
2.5
2
1.5
10.5030ࡀస⏝ࡍࡿ஦ࡀᣲࡆࡽࢀࡿ㸬ᐇ㦂࡛ࡣୖグࡢࡼ࠺࡞⌧㇟

323436᫬㛫䠄s䠅

ᅗ-8 ᭥⯟࣮ࣟࣉ࡟స⏝ࡍࡿᙇຊࡀ㉳ࡇࡽ࡞࠸ࡇ࡜ࢆ☜ㄆ࡛ࡁ㸪ゎᯒ⤖ᯝࡢRollingࡣ㸪ࡸࡸ㐣኱࡞್࡟࡞ࡗࡓࡶࡢࡢ㸪ྠᵝࡢഴྥࡀ♧ࡉࢀࡓ㸬ຍ࠼࡚㸪Pitching࡞ࡽࡧ࡟Heaving࡟࠾࠸࡚ࡶ㸪ືᦂ≉ᛶࢆࡲࡓ㸪VᏐಀ␃࡜YᏐಀ␃࡟࠾࠸࡚㸪ືᦂ㔞ࡢ෌⌧ᛶ࡟ᴫࡡ෌⌧࡛ࡁ࡚࠸ࡿࡓࡵ㸪ࢫࣃ࣮᭥⯟᫬ࡢ᪋ᕤࢩ࣑ࣗࣞ኱ࡁ࡞ᕪࡣ࡞࠸ࡇ࡜ࡀศ࠿ࡗࡓ㸬୺᭥⯪ഃࡢ᭥⯟࣮ࣟࣉ࡟స⏝ࡍࡿᙇຊ࡟㛵ࡍࡿᐇ㦂್࣮ࢩࣙࣥ࡟࠾࠸࡚ࡣ㸪༑ศ࡞⢭ᗘ࡛࠶ࡿ࡜ุ᩿࡛ࡁࡿ㸬

4-5࡜ゎᯒ⤖ᯝࡢẚ㍑ࢆᅗ-8࡟♧ࡍ㸬ࡇࡇ࡛㸪࣮ࣟࣉ1㸪2ࡣ

OpenFOAMࡣ᭷ຠ࡛࠶ࡿࡇ࡜ࡀ♧၀ࡉࢀࡓ㸬ࡑࡢࡓࡵ㸪ࡑࢀࡒࢀἼࡢୖὶഃ㸪ୗὶഃࡢ࣮ࣟࣉࢆ⾲ࡍ㸬ᐇ㦂᫬࡟స⏝ࡍࡿᙇຊࡢ࿘ᮇࡣ㸪࿘ᮇ2.0㹼2.5 s⛬ᗘ࡛స⏝ࡋ࡚࠸సᴗ㝈⏺᮲௳ࡸ✌ാ⋡ࡢ⟬ᐃ࡟ྥࡅࡓ㐠⏝ࡀᮇᚅ࡛ࡁࡿ㸬ࡿࡢ࡟ᑐࡋ㸪VᏐಀ␃࡞ࡽࡧ࡟YᏐಀ␃࡛ࡣ࿘ᮇ0.5㹼1.0s⛬ᗘ࡜࡞ࡗ࡚࠾ࡾ㸪ゎᯒ࡛఩┦࡜࿘ᮇࡢ෌⌧ࡣ࡛ࡁ࡚⏝໬࡟ྥࡅࡓ᳨ウࢆ௒ᚋࡶ⾜࠺ᚲせࡀ࠶ࡿ㸬࠸࡞࠸㸬ࡋ࠿ࡋ㸪ᙇຊࡢ᭱኱್࡛ẚ㍑ࡍࡿ࡜㸪ᐇ㦂್ࡣ
᭱኱2 N㸪VᏐಀ␃ࡣ᭱኱1.5 N㸪YᏐಀ␃ࡣ᭱኱2.5 N࡜࡞ཧ⪃ᩥ⊩ࡋ࠿ࡋ㸪ྠゎᯒᡭἲࡣ㸪ィ⟬ࢥࢫࢺࡀ኱ࡁ࠸ࡓࡵ6)㸪ᐇ᪂࢚ࢿࣝࢠ࣮࣭⏘ᴗᢏ⾡⥲ྜ㛤Ⓨᶵᵓ㸸╔ᗋᘧὒୖ㢼ຊⓎ㟁ᑟධ࢞࢖ࢻࣈࢵࢡ㸪pp.24-26㸪2018.
2) Ᏻ㔝ᾈ୍㑻㸪᳃ᒇ㝧୍㸪ᒣཱྀ࿴ᙪ㸪௒ᮧṇ㸪ᆏ஭຾ὒ㸸㛗኱ࢣ࣮ࢯࣥ᭥⯟᫬ࡢືᦂపῶ᪉⟇࡟㛵ࡍࡿ◊✲ 㸪 ᅵ ᮌ Ꮫ ఍ ㄽ ᩥ 㞟 B3 㸦 ᾏ ὒ 㛤 Ⓨ 㸧 㸪 vol.26 㸪pp.825-830㸪2010.
3) 㐨๓Ṋᑛ㸪బ㈏ᏹ㸪௒ᮧṇ㸪ᆏ஭຾ὒ㸪ྂ㈡኱୕㑻㸪୹⩚ᙉ㸪ఀ⸨ຬᚿ㸸␗ᙧ㛗኱ࢣ࣮ࢯࣥ᭥⯟᫬ࡢᣲື≉ᛶ࡟㛵ࡍࡿ◊✲㸪ᅵᮌᏛ఍ B2㸦ᾏᓊᕤᏛ㸧㸪vol.74㸪
No.2㸪pp.1051-1056㸪2018.
4) OpenCFD Ltd㸸https://www.openfoam.com/㸪ཧ↷ 20225-20.
5) ௒ 㔝 㞞 㸸 ࢜ ࣮ ࣉ ࣥ ࢯ ࣮ ࢫ CFD ࡢ ᅜ ෆ ື ྥ ࡜OpenFOAM 㐺⏝౛㸪ィ⟬ຊᏛㅮ₇఍ㅮ₇ㄽᩥ㞟㸪24ᕳ㸪pp.34-37㸪2011.
6) ᶫᮏ㈗அ㸪⧊⏣ᖾఙ㸪ᑠಛဴᖹ:ࢡ࣮ࣞࣥ⯪ࡢືᦂ࡜ྞࡾⲴࡢᣲື࡟㛵ࡍࡿ◊✲㸪ᅵᮌᏛ఍ㄽᩥ㞟 B3㸦ᾏὒ㛤Ⓨ㸧㸪➨ 77 ᕳ 2 ྕ㸪pp.625-630, 2021.
7) ᕝᓮᾈྖ㸪ᯇᾆ⩧㸪ᆏ㇂ኴᇶ㸸3 ḟඖᩘ್ὶయຊᏛࢶ࣮ࣝ OpenFOAM ࡟࠾ࡅࡿ⮬⏤⾲㠃ゎᯒᡭἲࡢጇᙜᛶ࡟㛵ࡍࡿ᳨ウ㸪ᅵᮌᏛ఍ㄽᩥ㞟 B3㸦ᾏὒ㛤Ⓨ㸧㸪
vol.69㸪No.2㸪pp.748-753㸪2013.
8) ᰴᘧ఍♫ࢸࣛࣂ࢖ࢺ㸸OpenFOAM ࣛ࢖ࣈࣛࣜࣜࣇ࢓ࣞࣥࢫ㸪᳃໭ฟ∧㸪2020.
9) Suyash Verma, Arman Hemmati: Performance of Overset
Mesh in Modeling theWake of Shape-Edge Bodies, Computational Engineering, vol.8, No.3, pp.1-19, 2020.
10) ⋤೧㸪᭪ຬ㸪኱㢼⩼: ࣏ࣜ࣊ࢻ࣓ࣛࣝࢵࢩࣗࢆ⏝࠸ࡓᘓ≀࿘㎶Ẽὶࡢ Large-Eddy Simulations㸪㢼ᕤᏛ◊✲ㄽᩥ㞟, Vol. 26, 2020.
11) ᪥ᮏᾏ஦༠఍㸸㗰⯪つ๎ PS ⦅㸪p.15, 2021.
1)ࡗ࡚࠾ࡾ㸪ᐇ㦂್࡟ᑐࡍࡿゎᯒ⤖ᯝࡢㄗᕪࡣr25%⛬ᗘ࡛࠶ࡿ㸬タィ᫬࡛Ⲵ㔜࡟Ᏻ඲⋡3ࢆ᥃ࡅ࡚◚᩿ࢆ↷ᰝࡍࡿ11)ࡇ࡜ࢆ᝿ᐃࡍࡿ࡜㸪◚᩿ᙉᗘ࡟ᑐࡍࡿᏳ඲タィ࡟ᐇ⏝࡛ࡁࡿ⢭ᗘ࡛࠶ࡿ࡜⪃࠼ࡽࢀࡿ㸬௨ୖࡢືᦂ㔞࡞ࡽࡧ࡟᭥⯟࣮ࣟࣉ࡟స⏝ࡍࡿᙇຊ࡟㛵ࡍࡿ෌⌧ᛶࡼࡾ㸪ᮏゎᯒᡭἲࡣࢫࣃ࣮᭥⯟ࡢ᪋ᕤࢩ࣑࣮ࣗࣞࢩࣙࣥ࡟࠾࠸࡚᭷⏝࡛࠶ࡿࡇ࡜ࡀ♧၀ࡉࢀࡓ㸬4. ࠾ࢃࡾ࡟OpenFOAM࡟ࡼࡿࢫࣃ࣮ᆺᾋయ᭥⯟᫬ࡢືᦂゎᯒࢆ⾜࠸㸪ᐇ㦂⤖ᯝࡢ෌⌧ᛶࢆ☜ㄆࡋࡓ㸬୺࡞ゎᯒ⤖ᯝࢆ௨ୗ࡟ิグࡍࡿ㸬࣭Rollingࡢືᦂ㔞ࡣ㸪ᐇ㦂್࡟ẚ࡭࡚኱ࡁࡃ࡞ࡗࡓࡀ㸪ಀ␃⣔࡟ࡼࡿ㛗࿘ᮇࡢືᦂ≉ᛶࢆᴫࡡ෌⌧࡛ࡁࡓ㸬
࣭Pitching࡟ࡘ࠸࡚ࡣ㸪఩┦ࡢࡎࢀࡣ࠶ࡿࡀ㸪᣺ᖜ࡜ືᦂ࿘ᮇࡣᴫࡡ୍⮴ࡋࡓ㸬࣭Ἴ㧗࡜Ἴ࿘ᮇ࡟㏣㝶ࡍࡿHeavingࡢ≉ᛶࢆⰋዲ࡟෌⌧࡛ࡁࡓ㸬࣭୺᭥⯪ഃࢆVᏐ࡞ࡽࡧ࡟YᏐ࡜ࡋࡓሙྜ࡛ࡶ㸪୧⪅ࡢゎᯒ⤖ᯝ࡟኱ࡁ࡞ᕪࡣぢࡽࢀ࡞࠿ࡗࡓ㸬࣭᭥⯟࣮ࣟࣉ࡟స⏝ࡍࡿᙇຊࡢ఩┦࡜࿘ᮇࡣ෌⌧࡛ࡁ࡞࠿ࡗࡓࡀ㸪ᙇຊࡢ᭱኱್ࡣ࣮ࣟࣉࡢ◚᩿Ⲵ㔜࡟ᑐࡍࡿᏳ඲↷ᰝ࡟౑⏝࡛ࡁࡿ⢭ᗘ࡛࠶ࡿࡇ࡜ࡀศ࠿ࡗࡓ㸬(Received March 17, 2022)(Accepted July 21, 2022) ௨ୖࡼࡾ㸪ᾋయ᭥⯟᫬ࡢືᦂゎᯒᡭἲ࡜ࡋ࡚㸪STUDY ON MOTION ANALYSIS OF SPAR TYPE FLOATING TOWING
Takuma KOBAYASHI, Takeshi NISHIHATA and Humiya NOZAKI
In the construction process of a spar-type floating wind turbine, it is necessary to understand the motion
characteristics during towing of a spar-type floating towing structure from the floating structure fabricationsite to the wind farm area in the open sea, and to establish workability criteria. In this study, we performed
an OpenFOAM analysis based on the results of hydraulic model tests on towing a spar type floating buoy
under lateral wave action, and confirmed the reproducibility of the analysis by OpenFOAM. Pitching andheaving motions that follow wave height and wave period were also reproduced well. The tension force
acting on the towing cable was found to be accurate enough to be used in design calculations when thesafety factor was taken into account. These results suggest the usefulness of OpenFOAM for towing analysis.

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