i X j hin,j hin,i kxj xi k xj xi kxj xi k *TP($/ۭؒඍΛแͨ͠E(n)ಉมͳ(// <latexit 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=: 0 @ ˜ DxHin ˜ DyHin ˜ DzHin 1 A ্ͷಛྔ N × fin ߦྻɺN <latexit 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</latexit> Hin = (hin,1, hin,2, . . . , hin,N )> • ཻࢠϕʔεͷղੳख๏Ͱ͋Δ-4.14๏[Tamai+ Comp. Part. Mech. 2014]ͷޯϞσϧΛ༻͍Δ
i X j hin,j hin,i kxj xi k xj xi kxj xi k *TP($/ۭؒඍΛแͨ͠E(n)ಉมͳ(// 4MPQF <latexit 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=: 0 @ ˜ DxHin ˜ DyHin ˜ DzHin 1 A ্ͷಛྔ N × fin ߦྻɺN <latexit 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</latexit> Hin = (hin,1, hin,2, . . . , hin,N )> • ཻࢠϕʔεͷղੳख๏Ͱ͋Δ-4.14๏[Tamai+ Comp. Part. Mech. 2014]ͷޯϞσϧΛ༻͍Δ 4MPQF
i X j hin,j hin,i kxj xi k xj xi kxj xi k *TP($/ۭؒඍΛแͨ͠E(n)ಉมͳ(// 4MPQF 6OJUWFDUPS <latexit 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=: 0 @ ˜ DxHin ˜ DyHin ˜ DzHin 1 A ্ͷಛྔ N × fin ߦྻɺN <latexit 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</latexit> Hin = (hin,1, hin,2, . . . , hin,N )> • ཻࢠϕʔεͷղੳख๏Ͱ͋Δ-4.14๏[Tamai+ Comp. Part. Mech. 2014]ͷޯϞσϧΛ༻͍Δ 4MPQF 6OJUWFDUPS
i X j hin,j hin,i kxj xi k xj xi kxj xi k *TP($/ۭؒඍΛแͨ͠E(n)ಉมͳ(// 4MPQF 6OJUWFDUPS <latexit 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=: 0 @ ˜ DxHin ˜ DyHin ˜ DzHin 1 A ্ͷಛྔ N × fin ߦྻɺN <latexit 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</latexit> Hin = (hin,1, hin,2, . . . , hin,N )> • εΧϥʔΛೖྗͯ͠ϕΫτϧΛग़ྗ͢Δ߹ <latexit sha1_base64="j6Y+sOl2lu0hs80rf375g6UG4kw=">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</latexit> IsoGCN0!1(Hin) = PointwiseEquivariantMLP 0 @ 0 @ ˜ DxHin ˜ DyHin ˜ DzHin 1 A 1 A ⇡ hrHin i • ཻࢠϕʔεͷղੳख๏Ͱ͋Δ-4.14๏[Tamai+ Comp. Part. Mech. 2014]ͷޯϞσϧΛ༻͍Δ 4MPQF 6OJUWFDUPS
i X j hin,j hin,i kxj xi k xj xi kxj xi k *TP($/ۭؒඍΛแͨ͠E(n)ಉมͳ(// 4MPQF 6OJUWFDUPS <latexit 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=: 0 @ ˜ DxHin ˜ DyHin ˜ DzHin 1 A • εΧϥʔΛೖྗͯ͠ϕΫτϧΛग़ྗ͢Δ߹ • زԿϕΫτϧʹ.-1Λద༻͢Δͱಉมੑ͕յΕͯ͠·͏ͨΊϊϧϜʹͷΈ࡞༻ͤ͞Δ <latexit 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Jx6pthRr0ACNx1bzxRRC4F+h+ZWjv089gOo5ydqeg1Qe8+85tqd3uXW+eJ5xNtpd6Qn2KGdXps9q3lsb+2aSc7muEXGRW3fu7lEAWE9f5PWpgJJY1SlaBxB0TYtsrFM/HuqaYF2PQwWmT7EZF6yLVrJ46ka/Rf1JsBlD3s1P8F02FtYQHW22zno3bYv8cMvcO2LjNU8X1iArawkWhWUQK+zeFz4iXohNZllBSaown8Q3tPeT6+eqtM7+scg09ScQhU5rr/Qp8eeDiCOWR37QvSZt4kBEF0+Vf89oL9Dok6xqSzYGGW11RHSbBrqmKmT4kjCqjYvMm+UgTI3i+6iHEaRv9Y6gpwVSaxe3tdV76eXdQeZpaC49S5OznS7V11crpi8g9Fa6P00iNKxfGi7Tu6rXzrgKvd95SzngHut8EPwotRLsyahl3C/5m1NMqGmJ1MJYDDxtvHZN4XfCW+YZXdry87rnJNc7c5Z8W+o8SLUHcDPwaq6+lpFtU+aiur3SJ01tVqxmv7/kRoXKKgLdcIvBjnwh+hncTYbFuDf3X67st7+HdLixdWrtfU3a69PX6/8uNn8RumbpX9d+u3S86X1pT8s/bi0v9RfulwKnqRP/uvJfz/5nzffvFl78/s3fzBVf/GkafMvS87fmx//D40ZB/c=</latexit> IsoGCN0!1(Hin) = PointwiseEquivariantMLP 0 @ 0 @ ˜ DxHin ˜ DyHin ˜ DzHin 1 A 1 A ⇡ hrHin i <latexit sha1_base64="SvPBN7CleutKy8IN5WUHacvHVpY=">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</latexit> PointwiseEquivariantMLP (v1, v2, . . . , vN )> := (MLP(kv1 k)v1, MLP(kv2 k)v2, . . . , MLP(kvN k)vN )> 4MPQF 6OJUWFDUPS
i X j hin,j hin,i kxj xi k xj xi kxj xi k *TP($/ۭؒඍΛแͨ͠E(n)ಉมͳ(// 4MPQF 6OJUWFDUPS <latexit sha1_base64="V7mmt9MfxAXSWcnfavlbV7JGoVs=">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=: 0 @ ˜ DxHin ˜ DyHin ˜ DzHin 1 A ➡*TP($/ۭؒඍԋࢉࢠͷػցֶशϞσϧԽͱͱΒ͑Δ͜ͱ͕Ͱ͖Δ • εΧϥʔΛೖྗͯ͠ϕΫτϧΛग़ྗ͢Δ߹ • زԿϕΫτϧʹ.-1Λద༻͢Δͱಉมੑ͕յΕͯ͠·͏ͨΊϊϧϜʹͷΈ࡞༻ͤ͞Δ <latexit 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</latexit> IsoGCN0!1(Hin) = PointwiseEquivariantMLP 0 @ 0 @ ˜ DxHin ˜ DyHin ˜ DzHin 1 A 1 A ⇡ hrHin i <latexit sha1_base64="SvPBN7CleutKy8IN5WUHacvHVpY=">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</latexit> PointwiseEquivariantMLP (v1, v2, . . . , vN )> := (MLP(kv1 k)v1, MLP(kv2 k)v2, . . . , MLP(kvN k)vN )> 4MPQF 6OJUWFDUPS
(SBEJFOU %JWFSHFODF +BDPCJBO )FTTJBO <latexit 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</latexit> rHin <latexit 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</latexit> r · Hin <latexit 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r ⌦ Hin <latexit 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</latexit> r ⌦ rHin
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</latexit> hrhin i i = M 1 i X j hin,j hin,i kxj xi k xj xi kxj xi k <latexit 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OJttzvSk+zQTq/Nnk15bG/tmmnB5rhFJuXUvXfziRKi6exNWpsKFY1Rl+JRDGXbtMxHKg0eqKYD2vUwWOTmEJN9yTZvpUgmevRf9ZsAnz3oTfkJpoPe3ALqs93eQe+2fYUfQYlrX+as5vncAmzmFdG6oAV6nSejMkj1C6nxfV5igiqDRyme9z69eq5P75h/Bplk9hSqLHD9pTk99rwPScLquBeiL8QGBkB0+Uz/eUR/h1SfYtNZsDXKausjpPkkMjHTJMWxgmVjXuZimIM2dx/fxQUM42C1dQQ5L9NEv7yf1r1PL6cdZJ6B5ta6OHVv2r3q4grNFB2M0ULvUz/ORuqx7TpFoP/TAVf5JNDOcg6418ogAhFnIsubhF7Bw6rYHOdST0+uE8BwLLbw2TeDX0oxyPO71UXvdc5xoXfnvPxX1HgZmQ7gZ39ZX32rot4nbUW86jZp1IrVzN8nalygoC70Cb8EVD8YoJ8l+f2ghODu9rultfb/Ic1fXL1aXfvV6uvT10u/32j+R+lnC/+08M8L3y+sLfx64fcLewsnC5cL4bN/fPYfz/ae7b/545s/vfmvN/9tq/7kWdPmFwvez5v/+V9M2una</latexit> hrhin i i = M 1 i X j hin,j hin,i kxj xi k xj xi kxj xi k <latexit sha1_base64="V7mmt9MfxAXSWcnfavlbV7JGoVs=">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</latexit> Mi = X l xl xi kxl xi k ⌦ xl xi kxl xi k wil <latexit 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hrHin i i = M 1 i X j hin,j hin,i kxj xi k xj xi kxj xi k 6OJUWFDUPS 4MPQF • *TP($/ͰNFTTBHFؔʹཻࢠ๏ͷޯԋࢉࢠϞσϧΛ༻͍ͨͷͰ ཻࢠ๏ͷ/FVNBOOڥք݅Ϟσϧ[Matunaga+ Comput. Methods in Appl. Mech. Eng. 2020]͕༻Ͱ͖Δ
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hin,j <latexit 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</latexit> hrhin i i = M 1 i X j hin,j hin,i kxj xi k xj xi kxj xi k <latexit sha1_base64="NrUCqGtwihVBICIBTXEXtypd/M8=">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</latexit> hrhin i i = M 1 i X j hin,j hin,i kxj xi k xj xi kxj xi k <latexit 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N32r/BXUOLelzlr2V/YgO28IlobWqA3eTIug1Q/kJrc5yUWqDJ4lOJZ7/tXz/TbO+avOaaZfQtVFrj/0rw99mwAScLauAeiz8UWJkAM+Uz/94jxDql+i01XwdYpa61fIc2nkcmZpiiOFawa9zIXoxy0u/v4Li5gFAdrrVeQ8zJN9MP7+az3/ct5B5lnoLn1Lk7dm36vurhCM0UHY7TQ+34QZ2P12A6dItB/6YC7fBboYOkDnrUyiEDEmcjyuqBX8LAmtie51MuT6wIwnIgd/OybwbdSDPP8bm3Ze5xzWujTOS//ATVeRmYA+Huwqq++1lCfk7YhXnW7NGrFZub/J1pcoqAu9Rt+CahBMMQ4S/L7YQnB3cdvVtbbf0i0eHH9am39n9Zen2+s/HGr/iOjny39euk3S98trS/989Iflw6WzpaulsKleOlfl/5t6d83/mPjvzb+e+N/bNMf/6ju8/dL3s/G//4Z4fORtQ==</latexit> ni ๏ઢϕΫτϧ <latexit 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</latexit> ni · rHin |i = Ji /FVNBOO#$ <latexit 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</latexit> Mi = X l xl xi kxl xi k ⌦ xl xi kxl xi k wil <latexit 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hrHin i i = M 1 i X j hin,j hin,i kxj xi k xj xi kxj xi k 6OJUWFDUPS 4MPQF • *TP($/ͰNFTTBHFؔʹཻࢠ๏ͷޯԋࢉࢠϞσϧΛ༻͍ͨͷͰ ཻࢠ๏ͷ/FVNBOOڥք݅Ϟσϧ[Matunaga+ Comput. Methods in Appl. Mech. Eng. 2020]͕༻Ͱ͖Δ ڥք݅ͷߟྀ/FVNBOOڥք݅Ϟσϧ
xi kxl xi k ⌦ xl xi kxl xi k wil <latexit 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hin,j <latexit 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</latexit> hrhin i i = M 1 i X j hin,j hin,i kxj xi k xj xi kxj xi k <latexit sha1_base64="NrUCqGtwihVBICIBTXEXtypd/M8=">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</latexit> hrhin i i = M 1 i X j hin,j hin,i kxj xi k xj xi kxj xi k <latexit 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N32r/BXUOLelzlr2V/YgO28IlobWqA3eTIug1Q/kJrc5yUWqDJ4lOJZ7/tXz/TbO+avOaaZfQtVFrj/0rw99mwAScLauAeiz8UWJkAM+Uz/94jxDql+i01XwdYpa61fIc2nkcmZpiiOFawa9zIXoxy0u/v4Li5gFAdrrVeQ8zJN9MP7+az3/ct5B5lnoLn1Lk7dm36vurhCM0UHY7TQ+34QZ2P12A6dItB/6YC7fBboYOkDnrUyiEDEmcjyuqBX8LAmtie51MuT6wIwnIgd/OybwbdSDPP8bm3Ze5xzWujTOS//ATVeRmYA+Huwqq++1lCfk7YhXnW7NGrFZub/J1pcoqAu9Rt+CahBMMQ4S/L7YQnB3cdvVtbbf0i0eHH9am39n9Zen2+s/HGr/iOjny39euk3S98trS/989Iflw6WzpaulsKleOlfl/5t6d83/mPjvzb+e+N/bNMf/6ju8/dL3s/G//4Z4fORtQ==</latexit> ni ๏ઢϕΫτϧ <latexit sha1_base64="Sp7W+i9afhPgFs1A/8EkcICM5RE=">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</latexit> ni · rHin |i = Ji /FVNBOO#$ • *TP($/ͰNFTTBHFؔʹཻࢠ๏ͷޯԋࢉࢠϞσϧΛ༻͍ͨͷͰ ཻࢠ๏ͷ/FVNBOOڥք݅Ϟσϧ[Matunaga+ Comput. Methods in Appl. Mech. Eng. 2020]͕༻Ͱ͖Δ ڥք݅ͷߟྀ/FVNBOOڥք݅Ϟσϧ
@t = (u · r)u + 1 Re r · ru rp i r · u = 0 i u(x, t = 0) = uinit(x) i u = uD o (r ⌦ u)n = 0 o <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp in ⌦ r · u = 0 in ⌦ u(x, t = 0) = uinit(x) in ⌦ u = uD on @⌦D (r ⌦ u)n = 0 on @⌦N <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r r · u = 0 u(x, t = 0) = uinit(x) u = uD 1 2 r ⌦ u + (r ⌦ u)T n = 0 <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp in ⌦ r · u = 0 in ⌦ u(x, t = 0) = uinit(x) in ⌦ u = uD on @⌦D 1 2 r ⌦ u + (r ⌦ u)T n = 0 on @⌦N <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r r · u = 0 u(x, t = 0) = uinit(x) u = uD 1 2 r ⌦ u + (r ⌦ u)T n = 0 <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp i r · u = 0 i u(x, t = 0) = uinit(x) i u = uD o (r ⌦ u)n = 0 o ղੳ݁Ռ ྲྀϊϧϜ ॳظ݅<latexit sha1_base64="tYUB0xaYWbOBiV/ErpGuov6hj9g=">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</latexit> u = 0 <latexit sha1_base64="BvigH7qhtcaE4wU+aLg0FZ2LAbg=">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</latexit> u = 0 @ 1 0 0 1 A Re in ⌦ in ⌦ on @⌦D on @⌦N • ॳظϙςϯγϟϧྲྀΕ ຎࡲɾӔͳ͠ • ϨΠϊϧζ • ेࡉ͔͍ϝογϡͰղੳΛͯ͠ૈ͍ϝογϡͰิֶؒ͠शσʔλͱͨ͠
= (u · r)u + 1 Re r · ru rp i r · u = 0 i u(x, t = 0) = uinit(x) i u = uD o (r ⌦ u)n = 0 o <latexit sha1_base64="USILIFZQpeWK93wEzKMIHtgdlMw=">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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp i r · u = 0 i u(x, t = 0) = uinit(x) i u = uD o (r ⌦ u)n = 0 o • ͞·͟·ͳܗঢ়ͷੇ๏Λม͑ͯ ֶशσʔλΛ࡞ͨ͠ - 5SBJOJOHEBUBTFUαϯϓϧ - 7BMJEBUJPOEBUBTFUαϯϓϧ - 5FTUEBUBTFUαϯϓϧ <latexit sha1_base64="USILIFZQpeWK93wEzKMIHtgdlMw=">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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp in ⌦ r · u = 0 in ⌦ u(x, t = 0) = uinit(x) in ⌦ u = uD on @⌦D (r ⌦ u)n = 0 on @⌦N <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r r · u = 0 u(x, t = 0) = uinit(x) u = uD 1 2 r ⌦ u + (r ⌦ u)T n = 0 <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp in ⌦ r · u = 0 in ⌦ u(x, t = 0) = uinit(x) in ⌦ u = uD on @⌦D 1 2 r ⌦ u + (r ⌦ u)T n = 0 on @⌦N <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r r · u = 0 u(x, t = 0) = uinit(x) u = uD 1 2 r ⌦ u + (r ⌦ u)T n = 0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 <latexit 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8F0PFjaQPVut/Oid9e/xF9+iXtf5qzlcGkDdvKKaGUogd7myaT0U/VAajrPSyxQhf8ovGeDn189U2/v6D8GmWXmLVRR4P4L/fbYsxEkCWtjH4g+97YxAWLIZ+q/R4x3SNVbbKoKNk5Za/UKaT6LdM7URXEsYV27F7kX5qDczeP7uIAw9jc6ryDnZZqoh/eLevDzy0UPmWeguM0+Ts51v1d9XKGYoofRWhj8PIqziXzshk7hq790wF0+91WwDAHPWuFH4MWZl+VNQS/hYcPbmeZCLU+uCsBg6u3iZ98MfhDeOM/vN1adxzlnhTqd8/IfUeNlpAeAv0fr6upbDdU5aRriVb9LrVZspv9/osUVCupKveGXgBz5Y4yzJJ+PS/DvP32/ttn9O6Tli5tXG5u/23h98Xrt99vN3yj9ZuXvVv5+5ceVzZV/Xvn9yuHK+cr1SrASrfznyn+t/Peb79788GbjzUvT9FffNX3+dsX5efOv/wuQBKZ1</latexit> a1 <latexit 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4PpeLC0gerdbudF765/ib/8Eve+zFnL4dIG7OQV0cpQAr3Nk0npp+qB1HSel1igCv9ReM8GP796pt7e0X8MMsvMW6iiwP0X+u2xZyNIEtbGPhB97m1jAsSQz9R/jxjvkKq32FQVbJyy1uoV0nwW6Zypi+JYwrp2L3IvzEG5m8f3cQFh7G90XkHOyzRRD+8X9eDnl4seMs9AcZt9nJzrfq/6uEIxRQ+jtTD4eRRnE/nYDZ3CV3/pgLt87qtgGQKetcKPwIszL8ubgl7Cw4a3M82FWp5cFYDB1NvFz74Z/CC8cZ7fb6w6j3POCnU65+U/osbLSA8Af4/W1dW3Gqpz0jTEq36XWq3YTP//RIsrFNSVesMvATnyxxhnST4fl+Dff/p+bbP7d0jLFzevNjZ/t/H64vXa77ebv1H6zcrfrfz9yo8rmyv/vPL7lcOV85XrlWAlWvnPlf9a+e8337354c3Gm5em6a++a/r87Yrz8+Zf/xfFH6Z2</latexit> 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8F0PFjaQPVut/Oid9e/xF9+iXtf5qzlcGkDdvKKaGUogd7myaT0U/VAajrPSyxQhf8ovGeDn189U2/v6D8GmWXmLVRR4P4L/fbYsxEkCWtjH4g+97YxAWLIZ+q/R4x3SNVbbKoKNk5Za/UKaT6LdM7URXEsYV27F7kX5qDczeP7uIAw9jc6ryDnZZqoh/eLevDzy0UPmWeguM0+Ts51v1d9XKGYoofRWhj8PIqziXzshk7hq790wF0+91WwDAHPWuFH4MWZl+VNQS/hYcPbmeZCLU+uCsBg6u3iZ98MfhDeOM/vN1adxzlnhTqd8/IfUeNlpAeAv0fr6upbDdU5aRriVb9LrVZspv9/osUVCupKveGXgBz5Y4yzJJ+PS/DvP32/ttn9O6Tli5tXG5u/23h98Xrt99vN3yj9ZuXvVv5+5ceVzZV/Xvn9yuHK+cr1SrASrfznyn+t/Peb79788GbjzUvT9FffNX3+dsX5efOv/wv6OqZ3</latexit> c1 <latexit 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4PpeLC0gerdbudF765/ib/8Eve+zFnL4dIG7OQV0cpQAr3Nk0npp+qB1HSel1igCv9ReM8GP796pt7e0X8MMsvMW6iiwP0X+u2xZyNIEtbGPhB97m1jAsSQz9R/jxjvkKq32FQVbJyy1uoV0nwW6Zypi+JYwrp2L3IvzEG5m8f3cQFh7G90XkHOyzRRD+8X9eDnl4seMs9AcZt9nJzrfq/6uEIxRQ+jtTD4eRRnE/nYDZ3CV3/pgLt87qtgGQKetcKPwIszL8ubgl7Cw4a3M82FWp5cFYDB1NvFz74Z/CC8cZ7fb6w6j3POCnU65+U/osbLSA8Af4/W1dW3Gqpz0jTEq36XWq3YTP//RIsrFNSVesMvATnyxxhnST4fl+Dff/p+bbP7d0jLFzevNjZ/t/H64vXa77ebv1H6zcrfrfz9yo8rmyv/vPL7lcOV85XrlWAlWvnPlf9a+e8337354c3Gm5em6a++a/r87Yrz8+Zf/xcvYqZ4</latexit> c2 Type A Type B Type C ࣮ݧඇѹॖੑ/BWJFSr4UPLFTํఔࣜͷֶश
= (u · r)u + 1 Re r · ru rp in ⌦ r · u = 0 in ⌦ u(x, t = 0) = uinit(x) in ⌦ u = uD on @⌦D (r ⌦ u)n = 0 on @⌦N <latexit sha1_base64="HShUq+EErd8QR3+dAGh5yeG/6Zg=">AAA2QniclVvZctxKcqXG25je7tiPfqkwpRjdMUmLupI9DzMTw1Wk2Nx3qnUVaCAbDRGbUNUgqZ72181P+Bf85vCrH5xVherMQoO6NiMkIs+pStRysjIbDQ7KNJHq1av/ePazP/nTP/vzv/j5Xy7+1V//zd/+3Xe/+PtLWYyrEC7CIi2q60EgIU1yuFCJSuG6rCDIBilcDe42NX9VQyWTIj9XjyV8zII4T4ZJGCiEPn33x34eDNJA9MOoUKIxypf9+mFZKPHPor8FqQqE+l78VvSHVRBO1qYTB06F3zuFofog+vVYrMw6WvSlQb2bNM1mPrNAjapscgrTtltq36+SeIRjsb8/NsP8/tN3S69WX5kfMX+x1lwsLTQ/x59+8WbYj4pwnEGuwjSQ8sPaq1J9nASVSsIUpov9sYQyCO+CGD7gZR5kID9OzHJPxQtEIjEsKvyXK2FQ3mMSZFI+ZgNsqScl25wGO7lB5t158qj9y9Zo1PDXHydJXo4V5KEdzHCcClUIvb8iSioIVfqIF0FYJTgfEY4CXGSFKvC8q+Tuq38/PSJVFKl/y0kdVPdJhGP20DKo5F1S+qBdIQ966MD0rVfCCMEc7sMiy4I8mvSjZDicfnj9cWJFEYkl1AX+/xoVIV4UVZTkQaUnNhxChTuXBKnvoGx56Jd6Q4PUOCID/fn9knzWUd9U/Iswd8WbJvmKjizxf7g5bgndnm6MzvidmU+HPu1ynCdq+mEN/QkXHh+W1j6a5dCcuE/USMgv46ACMcAZ34GSvotA2QHpIFzVw7Gh84dPk/lliCDF9W6BclyWZgw/Tl4urX3f7iPHA8N+cgPEpW41ucC1H2STizZ+afFLxF8IjwHLwPw+lVVB8/kNzmcZF7WZ0+/m/FwGlV2+ZmzaNj37E1qK/vz9t71e2919/GUeSNtHt/wDW+fp4uLiC/0jDrevxMH6+a7Y2t7ZO9w73zs6PBOGWuw6IJbxtwn/ZX0q4AgPgupOSIxtPLelKIYiDEp7rU+iClBDVZLH+iCIkjqRrtkwiccVtGSBoB7pdIKLnYmXPbye21psE6IqoXKtNo3V1c7M1TU7NWd0RytVlK7NeVF2tRgUShWZa7RhrLl2zbwD1yx4qsXAtRg81SJ0LcKnWkSuRaRb4Dbs4uxSPUMRCGyvD1oYYjhHAtcm833gtQaNMlDRQ2GCQ3vZMZtidw2PcVgWaXEP1UqIqXx1ESNxaJYVhktrE7uB/95Hy0ZXV3ccbqKCdFXsoBikwqNF773UO4a89bjjPO60PRpa3Rfunkuvm7tK4RoJnFFjvHY98OCJqMvSD0tv5rotz/q4qx+4qzdmOmdW1d9cDlS+HXwTAt56dDhwC2J7n7neZx29T10vk0Tvi1mUrc4Wxt5dmpWZxeATS9N2OKoA2i6Zv6Uf5j3SqjHfP8z7DnIBuAm6c8eSwRc7Z9fk6Ul7fvDAh0poP9bNduNmu8vNuqiCe1r3lrOVlZWgLpJIjKU+mpKhKAspEyxOresyDTB0Gv9Pj05XMCVGUsccNWO7N23+35NsHG3OHG3+pCOccx6DOYNtW2l9GHg2IpSKo52rlZUnZYKjC9K4wIptlHXMEzk7ulmjb06UuZqb6bpztd7hygne3Q8nMfP17cPg3Ou0/pOd5hZV10PNzJn6NGqHq6++tSm2f1u9x7P+x35/N9PZDXDU+vrJATeCgyTVYk31hU30+qrxN0yLojK0ubK8uWwarJnKZq5GUhUGQvMhKAzSyVa7QR2kScQbfJrVJ5aazrkEqbo7GGY6mxGUUue4UiZpkTf56RRdFJnAyj/BD1/g9A0qmGjPDyovqgy9Pu8j9HzqlrNq0QExA58ZEBP6TEhM5DMRMeAzQMzQZ4bExD4TEzPymRExic8kxHz2mc/E3PnMHTGpz6RTI+MqE4nEiMWP7dGjPuzsDi6Lz2OpRFTkv1RCfwBFOT7qk8fbGJE1vnPfd053LXymIKb0mZKYLz7zhZjKZypipM9IYpTPKGLGPjMmpvaZmph7n7kn5sFnHoh59JlHYr76zNepLfNcAGBmLmbHe90EycSG0mDIwmY2bjWyUeJaGJvxjOPwgGAWG3VIMAuMOiKYRUUNBLOQqIcEs3ioY4JZMNQjglkk1GOCWRjUnwlmMVDfEcwCoE4JThmcEZwxmC00X+GCYCbmuiSYKbn+QjCTcV0RzDRcS4Il31SCVfeacOnWBDPd1vcEM9HWDwQzxdaPBDO51l8JdlrdTkE/yDKf9qoO3YIVXee5DFZ5nSczWPl1ns1gNdh5OoMVYuf5DFaNnSc0WEl2ntFgddl5SiP35DkNVqGdJzVYmXae1WC12j6tHZf5XMa5J09isNLtPIvB6rfzNAYr4s7zGKySO09ksHLuPJPBarrzVAYr7M5zGay6O09msBLvPJvB6rzzdAYr9s7zGazinz6hMRaqJJxVKNk6xcc6hU22QfAGgzcJ3mTwFsFbDN4meJvBOwTvMPgdwe8YvEvwLoP3CN5j8HuC3zN4n+B9BvcI7jH4gOADBh8SfMjgI4KPGHxM8DGDTwg+YfApwacMPiP4jMHnBJ8z+ILgCwZfEnzJ4CuCrxh8TfA1g28IvmHwLcG3Tx+vvujAqo5pdJ3p10iPcRuc2/S5Tc5t+dwW57Z9bptzOz63w7l3PveOc7s+t8u5PZ/b49x7n3vPuX2f2+dcz+d6nDvwuQPOHfrcIeeOfO6Ic8c+d8y5E5874dypz51y7sznzjh37nPnnLvwuQvOXfrcJeeufO6Kc9c+d825G5+74dytzznZX/ISov4K5nMEfnZ9NetbFzlM3OdZh2VjC/UzShqzmljjfj1cNzBDBhahOsRUIYhQ9WFqD0So5qibkVClYeoMRKi+MNUFIlRVmJoCEaolTCWBCFUQpn5AhOoGUzUgQtWCqRUQSdk6WIQqA1MXIJKz9bMIVQGmBkCEcr/J/IhQxjf5HhHK8ybLIyLZgluEcnrdbAvblNoilL9N9kaEsrbJ2YhQrjaZGhHK0CY/I9JVjfplaB2k5Ujvt/k9U2A9aMRhdOFA+qhFTyYaKg2yQaR72AsiigxijZvfBBtJajk6AB0igv8TJJM4013Nb4KdcBvRziYymfDxT7RYnYViDclCoUZsUhP7pZa1UKBDslCcMVkozBFZOFw2VhTkZ7JQjHdsbSZahLOZT7QAnYWLyVYRxVewJZlo0TkLRfeFLBRcxVZqooU2W6CJFpmzcKHZMqPAarJQXPdkobAeyEJRPZKFgvo6bb7zwjz7YHGTY1FnlFtNZkWEMqrJp4hQHjVZFBHKniZ3DjKWM03GRIQypcmTiFB+NNkREcqKJiciQrnQZEJEKAOa/IcI5T2T9RChbGdyHSKU40yGQ4Qym8lriFA+M9kMEcpiJochQrnLZC5EKGOZfIUI5SmTpRCh7GRyk/2+1iGXE/dNrUOuLEL5x2QfRCjrmJyDCOUak2kQuWU7SHlhwNNCdjxqDuI+XrHVc6GvmV4T/rPJNTGsuTMbx0ZF55BL/YbGFoRpUAGKarSuTyC8oy325DDRj0ohD4soyWN0FoxTjcjh7DqbTqR+ynsG6ikHgyKNfsrN4GGKQdh+Ups33x6bvNn4M0+pm6kpW1/mkqlfbTiM9K82HUYRoLYcRjGgth1GUaB2HEZxoN45jCJB7TqMYkHtOYyiQb13GMWD2ncYRYTqOYxiQh04jKJCHTqM4kIdOYwiQx07jGJDnTiMokOdOoziQ505jCJEnTuMYkRdOIyiRF06jOJEXTmMIkVdO4xiRd04jKJF3TrMVmQo5HdVUI4sG7vPuaH3cSPeYDDpIt5kMEkj3mIwqSPeZjAJJN5hMGkkfsdgkkm8y2BSSrzHYBJL/J7BpJd4n8EkmbjHYFJNfMBgEk58yGDSTnzEYJJPfMxgUlB8wmASUXzKYNJRfMZgklJ8zmBSU3zBYBJUfMlg0lR8xWCSVXzNYFJWfMNgEld8y2BX8Z+Zt4c0LWdPUQZMXHKDUNKW3CSUpCW3CDXKeiG2zDcZYwkiEBKUwFunEIntZTGAMNC4GiVS3BfjNEIILRDSfO+BteS4EvqVuiJFR/p9F3gosbY0X+a6r9R36I6kTvmOUBKn3CWUtCn3CCVpyveEkjLlPqEkTNkjlHQpDwglWcpDQkmV8ohQEqU8JpQ0KU8IJUnKU0JJkfKMUBKkPCeU9CgvCCU5yktCSY3yilASo7wmlLQobwglKcpbQmePXHKs+8B8hAjsw5amCASqAHp+8a/Lw3WyUKobZKFEN8lCaW6RhYfdNlkooh2yUDzvyELR7JKFYtkjC0XyniwUxz5ZKIoeWSiGA7JQBIdk4eYfkYWbfkwWbvYJWbjJp2Th5p6RhZt6ThZu5gVZuImXZOHmXZGFm3ZNFm7WDVm4Sbfsfk2l1VRZesuAb5myFRceKTp+zVuyGMQWXTZvLRZjJbDcEfeY0kqo/IIIqCLyqqHm9mqmAdNwrhAEUy5Bq14CUzBBq2ICUzJBq2YCUzRBq2oCUzZBq24CUzhBq3ICUzpBq3YCUzxBq3oCUz5Bq34CU0BBq4ICU0JBq4YCU0RBq4oCU0ZBq44CU0hBq5ICU0pBq5YCU0xBq5oCU05Bq54CU1BBq6ICU1JBq6YCU1RBq6oCU1ZBq64CU1hBq7ICU1pBq7YCU1xBq7oCU15Bq74CU2ABq7DwkwKmHFWNQYzzCKr0Ub+0FAUqEDHkUGG20XYiUemDsU497dePsel0Un6a9KtsYgyT+LRXyMqkSkLzui/1n707OHg06c68BqJvgvmx5du9ITIKFH5S92/htTzmLY+nXYPJigjSb03ENJjNxFpz92kaHX+rUamSNIKmZd8Ys9HPeuAxoYpwFEj9snowVoX5BAWVN8LWC6ylbTMbY9NlfgAReO2s2dGuQgIPHdfOmqiF0DxD8xunQZkGIdAfLfQaYCpeiObaX97F1vvFs4y33R5IT7KXdnpt9nTKc3vr1MxKtsYtMq2m7rmbT1QQT2dP0tpUqGiO2kqGCVRt17IYqix4oJYOaLfDZFGYl5jsQ7Z5L2U61rP/qp8E+Ox+b8rfYNrvzW2gfrfbe9G77V/hr6DCva8K1vJsbgM2i5pobWiBXhXpsAoy/UBqdF9UWKDK4FGK570fXz/Xb++YPwYZ5/YtVFni/kvz9tjzPqQpa+MeiL4QG5gAMeRz/d8jxjtk+i02XQVbp6y1foW0GMcmZ5qiOFGwbNzLQkQFaHf3yV1SQpQEq61XkIsqS/XD++mk9+OraQdZ5KC5tS5O3Zt+r7u4UjNlB2O00Puxn+RD9dgOnTLQf+mAu3wc6GA5AzxrZRCDSHKRF01Br+BhVWyOCqmXp9AFYDgSW/jZN4dfSjEoirvVRe9xzlGpT+ei+hVqvIrNAPB3f1lffauhPidtQ7zqdmnUis3M/0+0OEdBnes3/FJQ/WCAcZYW94MKgrtP3y2ttf8Oaf7i8vXq2r+uvjl5s/T7jeZvlH6+8I8L/7TwcmFt4d8Wfr+wu3C8cLEQPvvVs+NnN89u3/7x7X++/a+3/22b/uxZ0+cfFryft//zv3Rq7Ro=</latexit> r · rp(x, t + t) = 1 t r · u t ✓ u · ru 1 Re r · ru ◆ (x, t) <latexit 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</latexit> u(x, t + t) = u(x, t) rp(x, t + t) t 'SBDUJPOBMTUFQ๏ʹΑΔӄղ๏Ͱ࣌ؒΛࢄԽ <latexit sha1_base64="xWESYmzm4eX6Yz6T9qSk5WEzHrM=">AAA3Y3iclVvZctxKcuWVtzHHy71jvzkcUWFKdySbpEVJMfKD7RiuIsXmvkpqSYFGZ6MhYhOqGiSFaf+n3+3/cFYVqjMLDep6GCERdU5WopaTldlocFAksVTPn//3D4/+5E//7M//4ld/ufjrv/rrv/nbH3/6zaXMJ2UIF2Ge5OX1IJCQxBlcqFglcF2UEKSDBK4GN5uav6qglHGenav7Aj6mQZTFozgMFEKff/rhf/pHKUSB+LkvJwMJSvTTQI0Hg/p0+uml+Fn8vNjvL/aLYTwa1f1qMq3VVPz8H2JFPMWW6IfDHLtkwSAJngmN/Ivoj8ogrNemtfFUpvUpTKeNjdfB2K+4RoE3cz3iDDvothmbGYHXHfvhGJ5/v0c1wSHeLQsl0PSZ7oDQZ+oQq6k2ePZLXto9t6asR+56FEGp4iBpujJj48UtyQu0TmCknrr55CpOQTYr14E++3Qu+mUcjZVe3syMZZDWz/+YMRxOP/+49Hz1ufkR8xdrzcXSQvNz/PmnV6P+MA8nKWQqTAIpP6w9L9THWt8gTAAnNZFQBOFNEMEHvMwCHO/H2uhxKp4gMhSjvMR/mRIG5T3qIJXyPh2gpR6ibHMa7OQGqXfn+l77l63RqNG/fcSdLCYKstAOZjRJhMqFDgAxjEsIVXKPF0FYxjgfEY4D3B+FYeJ5V/HNN/9+ekQqzxP/lnUVlLfxEMfsobgb8iYufNCukAfddWD61ivhEMEMbsM8TYNsWPd1EE4/vPhYWz0NxRJKCv9/gfElnuTlMM6CUk9sNIISdw614DsoWh5mitGOqIH+/H5xNuuobyr+VZi74k3jbEUfPeL/cXPcEro93Rid8Tsznw592OVEB/GHNfQ3C4YPS2sfzXJoTtzGaizk10lQghjgjG9ASd9FoOyAdFSu6uHYaPvD53p+GYaQ4Hq3QDkpCjOGT/XTpbVn7T54qhp2Fo241C2TC1x7jOmLNn5p8UvEnwiPAcvA/D4VZU7z+XeczzIuajOn/5zzcxmUdvmasem26dmvaSn68/ff9nptd/fxl3kgbR9t+Qe2ztPFxcUn+kccbl+Jg/XzXbG1vbN3uHe+d3R4Jgy12HVALONvE/7L+lTAER4E5Y2QGNuY2KTIRyIMCnutT6ISUENlnEX6IBjGVSyd2SiOJiW0ZIGgHum0xsVOxdMeXs9tLdqEqEoondWmaXXZmbk6s1NznHdYqbxwNud50WUxyJXKU2e0YVpzds28A2cWPGQxcBaDhyxCZxE+ZDF0FkNtgduwi7NL9AxFINBeH7QwwnAeClyb1PeB1xo0ykBFj4QJDu1lx2yK3TU8xmFZJPktlCsh1jqrixiJI7OsMFpaq+0G/lcfWza6urrjcGMVJKtiB8UgFR4teu+l3jHkrccd53Gn7dHQ6jZ391x60dwVk3RjJHBGTeOF64EHz5C6LL1cejXXbXnWx1295K5ememcWVV/dzlQ+XbwTQh469HhwC2I7X3mep919D51vUwSvc1nUbY6Wxh7d2lWZhaDDyxN2+G4BGi7ZP6WXs57pFVjvl/O+w4yAbgJunPHksFXO2dn8vCkPT944EMptB/rZrtxs93lZl2UwS2te8vZyspKUOXxUEykPprikShyKWOs3q3rIgkwdBr/D49OVzAFRlLHHDVjuzc2f/QkG0ebM0ebv+gI55xFYM5gayutDwPPRoRScbRztbLyoExwdEES5VixjdOOeSJnRzcz+u5Emau5ma47V+sdrpzg3f1wEjNf3z8Mzr1O67/YaW5RdT3UzJypT6N2uPrqe5ti+7fVezzrf+z3dzOd3QBHra8fHHAjOIgTLdZEX9hEr68af6Mkz0tDmyvLm8vGYM1UNnM1kioxEJqPlGGQ4OeqlkEVJPGQG3ye1SeWms65BKm6OxhmOpsRFFLnuELGCX7UsvnpFF3kqcDKP8aPbOD0DSqotec7leVlil4f9xF6PHXLWbbogJiBzwyICX0mJGboM0NiwGeAmJHPjIiJfCYiZuwzY2Jin4mJ+eIzX4i58ZkbYhKfSaZGxmUqYokRW0IwvNeHnd3BZfFlIpUY5tlvldAfQFGO9/rk8TZGpI3vzPed0V1zn8mJKXymIOarz3wlpvSZkhjpM5IY5TOKmInPTIipfKYi5tZnbom585k7Yu595p6Ybz7zbWrLPBcAmJnz2fFeNUFS21AajFjYzMatxjZKnIVpM55xHB4QzGKjCglmgVENCWZRUQHBLCSqEcEsHqqIYBYM1ZhgFgnVhGAWBtUXglkMVDcEswCoEoITBqcEpwxmC81XOCeYibkqCGZKrr4SzGRclQQzDVeSYMk3lWDVvSZcuhXBTLfVLcFMtNUdwUyx1T3BTK7VN4KdVrcT0A+yzKe9skO3YEXXeS6DVV7nyQxWfp1nM1gNdp7OYIXYeT6DVWPnCQ1Wkp1nNFhddp7SyD14ToNVaOdJDVamnWc1WK22T2vHpT6Xcu7BkxisdDvPYrD67TyNwYq48zwGq+TOExmsnDvPZLCa7jyVwQq781wGq+7OkxmsxDvPZrA67zydwYq983wGq/iHT2iMhTIOZxVKuk7xsU5hk24QvMHgTYI3GbxF8BaDtwneZvAOwTsMfkPwGwbvErzL4D2C9xj8luC3DN4neJ/BPYJ7DD4g+IDBhwQfMviI4CMGHxN8zOATgk8YfErwKYPPCD5j8DnB5wy+IPiCwZcEXzL4iuArBl8TfM3gdwS/Y/B7gt8/fLz6ogOrOqbRdaZfIz3GbXBu0+c2Obflc1uc2/a5bc7t+NwO59743BvO7frcLuf2fG6Pc2997i3n9n1un3M9n+tx7sDnDjh36HOHnDvyuSPOHfvcMedOfO6Ec6c+d8q5M58749y5z51z7sLnLjh36XOXnLvyuSvOXfvcNefe+dw7zr33OSf7S15CVN/AfI4w3825vlWeQe0+zzosnVion1LSmNXEGvfr4aqBGTKwCNUhpgpBhKoPU3sgQjVH1YyEKg1TZyBC9YWpLhChqsLUFIhQLWEqCUSogjD1AyJUN5iqARGqFkytgEjC1sEiVBmYugCRjK2fRagKMDUAIpT7TeZHhDK+yfeIUJ43WR4RyRbcIpTTq2Zb2KZUFqH8bbI3IpS1Tc5GhHK1ydSIUIY2+RmRrmrUL0OrICnGer/N75kCq0EjDqMLB9JHLXoy0VBJkA6Guoe9ICLX3wsjbn4TbCSp5egAdIgI/k+QjKNUdzW/CXbCbUQ7m0hd8/HXWqyuhWINqYVCHbJJ1fZLLdtCgY6oheKMqIXCHFMLh8vGioL8Qi0U4w1bm1qLcDbzWgvQtXAx2Sqi+HK2JLUWnWuh6L5SCwVXspWqtdBmC1RrkbkWLjRbZhRYRS0U1y21UFh31EJR3VMLBfVt2nznhXn2zuImx6LOKLeazIoIZVSTTxGhPGqy6CBl2dPkzkHKcqbJmIhQpjR5EhHKjyY7IkJZ0eRERCgXmkyICGVAk/8Qobxnsh4ilO1MrkOEcpzJcIOUZTaT1xChfGayGSKUxUwOQ4Ryl8lciFDGMvkKEcpTJkshQtnJ5Cb7fa1DLmv3Ta1DrixC+cdkH0Qo65icgwjlGpNpEHnPdpDywoCnhfR43BzEfbxiq+dCXzO9Jvxnk2tiWHNnNo6Nis4hk/oNjS0Ik6AEFNV4XZ9AeEdb7MlRrB+VQhbmwziL0FkwSTQiR7PrdFpL/ZT3DNRDDgZ5MvwlN4O7KQZh+0lt1nx7bPJm4888pW6mpmx9mUmmfrXhMNK/2nQYRYDachjFgNp2GEWB2nEYxYF64zCKBLXrMIoFtecwigb11mEUD2rfYRQRqucwigl14DCKCnXoMIoLdeQwigx17DCKDXXiMIoOdeowig915jCKEHXuMIoRdeEwihJ16TCKE3XlMIoUde0wihX1zmEULeq9w2xFhkJ+UwbF2LKR+5wbeh83og0Gky6iTQaTNKItBpM6om0Gk0CiHQaTRqI3DCaZRLsMJqVEewwmsURvGUx6ifYZTJKJegwm1UQHDCbhRIcMJu1ERwwm+UTHDCYFRScMJhFFpwwmHUVnDCYpRecMJjVFFwwmQUWXDCZNRVcMJllF1wwmZUXvGEziit4z2FX8Z+btIU3L2VOUAROX3CCUtCU3CSVpyS1CjbKeiC3zTcZEggiEfhMTb53AUGwviwGEgcbVOJbiNp8kQ4SwBUKa7z2wlpyUQr9SlyfoSL/vAncF1pbmy1z3lfoO3ZHUKd8QSuKUu4SSNuUeoSRN+ZZQUqbcJ5SEKXuEki7lAaEkS3lIKKlSHhFKopTHhJIm5QmhJEl5SigpUp4RSoKU54SSHuUFoSRHeUkoqVFeEUpilNeEkhblO0JJivI9obNHLhnWfWA+QgT2YUtTBAJVAD2/+Nfl4Tq1UKob1EKJblILpblFLTzstqmFItqhFornDbVQNLvUQrHsUQtF8pZaKI59aqEoetRCMRxQC0VwSC3c/CNq4aYfUws3+4RauMmn1MLNPaMWbuo5tXAzL6iFm3hJLdy8K2rhpl1TCzfrHbVwk96z+zWVVlNl6S0DvmXKVlx4pOj4NW/JYhBbdNm8tZhPlH7TV9xiSiug9AsioIrIq4aa26uZBozhXCEIplyCVr0EpmCCVsUEpmSCVs0EpmiCVtUEpmyCVt0EpnCCVuUEpnSCVu0EpniCVvUEpnyCVv0EpoCCVgUFpoSCVg0FpoiCVhUFpoyCVh0FppCCViUFppSCVi0FppiCVjUFppyCVj0FpqCCVkUFpqSCVk0FpqiCVlUFpqyCVl0FprCCVmUFprSCVm0FpriCVnUFpryCVn0FpsACVmHhJwVMOaqcgJhkQyiTe/3S0jBQgYgggxKzjW7HEpU+mOjU0379GE2ndfG57pdpbRom8WmvkBZxGYfmdV/qP3t3cHBv0p15DUTfBPNjy7d7Q2QcKPyk7t/CszzmlsfTrsGk+RCS703EGMxmYltz92mMjr9nVKg4GUJj2TeN2ehnPfCYUHk4DqR+WT2YqNx8goLSG2HrBdbC2szG2HSZH8AQPDvb7LArkcBDx9nZJmohNM/QfOMkKJIgBPoTkF4DTMUT0Vz7y7vYer94lvG22wPpSfbSTq/Nnk55bm+dmmnB1rhFJuXUPXfziRKi6exJWpsKFc1Rt+JRDGXbtcxHKg3uyNIBbTtMFrl5ick+ZJv3UiQTPftv+kmAz+73pvwNpv3e3Abqd7u9F73b/hX+Ckrc+zJnlmdzG7CZV0TrhhboVZ6MyiDVD6TGt3mJBaoM7qV43Pv04rF+e8f8Mcgks2+hygL3X5q3xx73IUmYjXsg+kRsYALEkM/0f/cY75Dqt9h0FWydMmv9Cmk+iUzONEVxrGDZuJe5GOag3d3GN3EBwzhYbb2CnJdpoh/eT+vep+fTDjLPQHNrXZy6Nf1edHGFZooOxmih96kfZyN13w6dItB/6YC7fBzoYDkDPGtlEIGIM5HlTUGv4G5VbI5zqZcn1wVgOBZb+Nk3g99KMcjzm9VF73HOUaFP57z8Z9R4GZkB4O/+sr76nqE+J60hXnW7NGpFM/P/AxbnKKhz/YZfAqofDDDOkvx2UEJw8/nHpbX23yHNX1y+WF373eqrk1dLv99o/kbpVwv/sPBPC08X1hZeL/x+YXfheOFiIXy0/+jro2+P6t/97+tfv/7N67+3po9+aPr83YL38/of/w/mSEsc</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru r · u = 0 u(x, t = 0) = uinit(x) u = uD 1 2 r ⌦ u + (r ⌦ u)T n = 0 ࣮ݧඇѹॖੑ/BWJFSr4UPLFTํఔࣜͷֶश
t) = 1 t r · u t ✓ u · ru 1 Re r · ru ◆ (x, t) <latexit 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</latexit> u(x, t + t) = u(x, t) rp(x, t + t) t ϝογϡͰۭؒΛࢄԽ *TP($/ͰۭؒඍΛۙࣅ <latexit sha1_base64="a04+wcNcLMVw5YGSstbb5NZWLJY=">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</latexit> u(x, t + t) = u(x, t) IsoGCN0!1[p(x, t + t)] t Solve : IsoGCN1!0 IsoGCN0!1[p(x, t + t)] GCN1!2[u] 1 Re IsoGCN1!0 IsoGCN0!1[u] ◆ Solve : IsoGCN1!0 IsoGCN0!1[p(x, t + t)] oGCN1!2[u] 1 Re IsoGCN1!0 IsoGCN0!1[u] ◆ <latexit sha1_base64="56Os2oAFMKIYOzV8SnlWZJcU+WY=">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</latexit> Solve : IsoGCN1!0 IsoGCN0!1[p(x, t + t)] = 1 t IsoGCN1!0 u t ✓ u · IsoGCN1!2[u] 1 Re IsoGCN2!1 IsoGCN1!2[u] ◆ (x, t) <latexit sha1_base64="USILIFZQpeWK93wEzKMIHtgdlMw=">AAA3MniclVvZctzIcuXoermmt5nrN/ulwpTmamySFiWF7AfbMdxJsbmIu6SWFGh0NhoiNqGqQVK47Z+yf8Z+c/jVH+GsKlRnFhrU+DJCIvKcqkQtJyuz0eCgSGKpnj37z+8e/eoP/vCP/vjXf7L4p3/253/xl9//8JtLmU/KEC7CPMnL60EgIYkzuFCxSuC6KCFIBwlcDW42NX9VQSnjPDtX9wV8SIMoi0dxGCiEPv3w3b/3j1OIAvFjX04GEpTop4EaDwb16fTjC/Gj+HGx31/sF8N4NKr71WRaq6n48V/EiniKluiHwxy7ZMEgCX4SGvl70R+VQVivTWvjqUzrU5hOmzZeB9N+xRkF3sz1iDPsoG0zNjMCrzv2wzE8+3aPaoJDvFsWSmDTn3QHhD5Rh1hNdYOffslLu+fWlPXIXY8iKFUcJE1X1lh7eeqGn6s4Band6dXKjOtBWj/7fVweTT99v/Rs9Zn5EfMXa83F0kLzc/Lph5ej/jAPJylkKkwCKd+vPSvUh1rfIEwAxziRUAThTRDBe7zMAhzlh9rIayqeIDIUo7zEf5kSBuU96iCV8j4dYEs9RNnmNNjJDVLvzvW99i9bo1Gjf/qAG1NMFGShHcxokgiVC61nMYxLCFVyjxdBWMY4HxGOA1SgQtV73lV889W/nx6RyvPEv2VdBeVtPMQxeyjuhryJCx+0K+RBdx2YvvVKOEQwg9swT9MgG9Z9HVPT988/1DZihmIJgwb/f47hIp7k5TDOglJPbDSCEncOteA7KFoeZorRjshAf36/OJt11DcV/yDMXfGmcbaiTxLx/7g5bgndnm6MzvidmU+HPuxyomPy/Rr6mwXD+6W1D2Y5NCduYzUW8sskKEEMcMY3oKTvIlB2QAmM1KoeTr+Mo7H63ad6fhmGkOB6t0A5KQozho/106W1n9p98JA07CwacalbTS5w7TGmL9r4pcUvEX8iPAYsA/P7VJQ5zeefcT7LuKjNnP51zs9lUNrla8ambdOzX9NS9Ofvv+312u7u4y/zQNo+uuXv2DpPFxcXn+gfcbR9JQ7Xz/fE1vbO/tH++f7x0Zkw1GLXAbGMv034L+tTAUd4GJQ3QmJsY56SIh+JMCjstT6JSkANlXEW6YNgGFexdM1GcTQpoSULBPVIpzUudiqe9vB6bmuxTYiqhNK12jRWVzszV9fsVBtdrVReuDbnedHVYpArlaeu0Yax5to18w5cs+ChFgPXYvBQi9C1CB9qMXQthroFbsMezi7RMxSBwPb6oIURhvNQ4Nqkvg+81qBRBip6JExwaC87ZlPsruExDssiyW+hXAmxdFldxEgcmWWF0dJabTfw3/po2ejq6o7DjVWQrIodFINUeLTovZd6x5C3Hnecx522R0Or29zdc+l5c1dMzU0jgTNqjOeuBx48Q+qy9GLp5Vy35Vkfd/WCu3pppnNmVf3N5UDl28E3IeCtR4cDtyC295nrfdbR+9T1Mkn0Np9F2epsYezdpVmZWQw+sDRth+MSoO2S+Vt6Me+RVo35fjHvO8gE4Cbozh1LBl/snF2Thyft+cEDH0qh/Vg3242b7S4366IMbmndW85WVlaCKo+HYiL10RSPRJFLGWMxbl0XSYCh0/h/eHS6gikwkjrmqBnbvWnze0+ycbQ5c7T5i45wzlkE5gy2baX1YeDZiFAqjnauVlYelAmOLkiiHCu2cdoxT+Ts6GaNvjlR5mpupuvO1XqHKyd4dz+cxMzXtw+Dc6/T+i92mltUXQ81M2fq06gdrr761qbY/m31nsz6n/j93UxnN8BR6+sHB9wIDuJEizXRFzbR66vG3yjJ89LQ5sry5rJpsGYqm7kaSZUYCM0nxDBI8GNSq0EVJPGQN/g0q08sNZ1zCVJ1dzDMdDYjKKTOcYWME/yoZfPTKbrIU4GVf4wf1MDpG1RQa893KsvLFL0+7iP0eOqWs2zRATEDnxkQE/pMSMzQZ4bEgM8AMSOfGRET+UxEzNhnxsTEPhMT89lnPhNz4zM3xCQ+k0yNjMtUxBIjtoRgeK8PO7uDy+LzRCoxzLPfKqE/gKIc7/XJ422MSBvfme87o7vmPpMTU/hMQcwXn/lCTOkzJTHSZyQxymcUMROfmRBT+UxFzK3P3BJz5zN3xNz7zD0xX33m69SWeS4AMDPns+O9aoKktqE0GLGwmY1bjW2UuBbGZjzjODwgmMVGFRLMAqMaEsyiogKCWUhUI4JZPFQRwSwYqjHBLBKqCcEsDKrPBLMYqG4IZgFQJQQnDE4JThnMFpqvcE4wE3NVEMyUXH0hmMm4KglmGq4kwZJvKsGqe024dCuCmW6rW4KZaKs7gpliq3uCmVyrrwQ7rW4noB9kmU97ZYduwYqu81wGq7zOkxms/DrPZrAa7DydwQqx83wGq8bOExqsJDvPaLC67DylkXvwnAar0M6TGqxMO89qsFptn9aOS30u5dyDJzFY6XaexWD123kagxVx53kMVsmdJzJYOXeeyWA13XkqgxV257kMVt2dJzNYiXeezWB13nk6gxV75/kMVvEPn9AYC2UcziqUdJ3iY53CJt0geIPBmwRvMniL4C0GbxO8zeAdgncYvEvwLoP3CN5j8D7B+wx+TfBrBh8QfMDgHsE9Bh8SfMjgI4KPGHxM8DGDTwg+YfAbgt8w+JTgUwafEXzG4HOCzxl8QfAFgy8JvmTwFcFXDL4m+JrBbwl+y+B3BL97+Hj1RQdWdUyj60y/RnqM2+Dcps9tcm7L57Y4t+1z25zb8bkdzu363C7n9nxuj3P7PrfPudc+95pzBz53wLmez/U4d+hzh5w78rkjzh373DHnTnzuhHNvfO4N50597pRzZz53xrlznzvn3IXPXXDu0ucuOXflc1ecu/a5a8699bm3nHvnc072l7yEqL6C+Rxhvptzfas8g9p9nnVYOrFQP6WkMauJNe7Xw1UDM2RgEapDTBWCCFUfpvZAhGqOqhkJVRqmzkCE6gtTXSBCVYWpKRChWsJUEohQBWHqB0SobjBVAyJULZhaAZGErYNFqDIwdQEiGVs/i1AVYGoARCj3m8yPCGV8k+8RoTxvsjwiki24RSinV822sE2pLEL522RvRChrm5yNCOVqk6kRoQxt8jMiXdWoX4ZWQVKM9X6b3zMFVoNGHEYXDqSPWvRkoqGSIB0MdQ97QUSuvxdG3Pwm2EhSy9EB6BAR/J8gGUep7mp+E+yE24h2NpG65uOvtVidhWINyUKhDtmkavullrVQoCOyUJwRWSjMMVk4XDZWFORnslCMN2xtai3C2cxrLUBn4WKyVUTx5WxJai06Z6HovpCFgivZStVaaLMFqrXInIULzZYZBVaRheK6JQuFdUcWiuqeLBTU12nznRfm2TuLmxyLOqPcajIrIpRRTT5FhPKoyaKDlGVPkzsHKcuZJmMiQpnS5ElEKD+a7IgIZUWTExGhXGgyISKUAU3+Q4Tynsl6iFC2M7kOEcpxJsMNUpbZTF5DhPKZyWaIUBYzOQwRyl0mcyFCGcvkK0QoT5kshQhlJ5Ob7Pe1Drms3Te1DrmyCOUfk30Qoaxjcg4ilGtMpkHkHdtBygsDnhbSk3FzEPfxiq2eC33N9Jrwn02uiWHNndk4Nio6h0zqNzS2IEyCElBU43V9AuEdbbEnR7F+VApZmA/jLEJnwSTRiBzNrtNpLfVT3jNQDzkY5Mnwl9wM7qYYhO0ntVnz7bHJm40/85S6mZqy9WUmmfrVhsNI/2rTYRQBasthFANq22EUBWrHYRQHatdhFAlqz2EUC2rfYRQN6rXDKB7UgcMoIlTPYRQT6tBhFBXqyGEUF+rYYRQZ6sRhFBvqjcMoOtSpwyg+1JnDKELUucMoRtSFwyhK1KXDKE7UlcMoUtS1wyhW1FuHUbSodw6zFRkKebcMirFlI/c5N/Q+bkQbDCZdRJsMJmlEWwwmdUTbDCaBRDsMJo1EuwwmmUR7DCalRPsMJrFErxlMeokOGEySiXoMJtVEhwwm4URHDCbtRMcMJvlEJwwmBUVvGEwiik4ZTDqKzhhMUorOGUxqii4YTIKKLhlMmoquGEyyiq4ZTMqK3jKYxBW9Y7Cr+M/M20OalrOnKAMmLrlBKGlLbhJK0pJbhBplPRFb5puMiQQRCP1iJd46gaHYXhYDCAONq3EsxW0+SYYIoQVCmu89sJaclEK/Upcn6Ei/7wJ3BdaW5stc95X6Dt2R1Cl3CSVxyj1CSZtyn1CSpnxNKClTHhBKwpQ9QkmX8pBQkqU8IpRUKY8JJVHKE0JJk/INoSRJeUooKVKeEUqClOeEkh7lBaEkR3lJKKlRXhFKYpTXhJIW5VtCSYryHaGzRy4Z1n1gPkIE9mFLUwQCVQA9v/jX5eE6WSjVDbJQoptkoTS3yMLDbpssFNEOWSieXbJQNHtkoVj2yUKRvCYLxXFAFoqiRxaK4ZAsFMERWbj5x2Thpp+QhZv9hizc5FOycHPPyMJNPScLN/OCLNzES7Jw867Iwk27Jgs36y1ZuEnv2P2aSqupsvSWAd8yZSsuPFJ0/Jq3ZDGILbps3lrMJ0q/6StuMaUVUPoFEVBF5FVDze3VTAOm4VwhCKZcgla9BKZgglbFBKZkglbNBKZoglbVBKZsglbdBKZwglblBKZ0glbtBKZ4glb1BKZ8glb9BKaAglYFBaaEglYNBaaIglYVBaaMglYdBaaQglYlBaaUglYtBaaYglY1BaacglY9BaagglZFBaakglZNBaaoglZVBaasglZdBaawglZlBaa0glZtBaa4glZ1Baa8glZ9BabAAlZh4ScFTDmqnICYZEMok3v90tIwUIGIIIMSs422Y4lKH0x06mm/foxNp3Xxqe6XaW0Mk/i0V0iLuIxD87ov9Z+9Ozi4N+nOvAaib4L5seXbvSEyDhR+Uvdv4bU84S1Ppl2DSfMhJN+aiGkwm4m15u7TNDr5VqNCxckQmpZ9Y8xGP+uBx4TKw3Eg9cvqwUTl5hMUlN4IWy+wFrbNbIxNl/kBDMFrZ82OdiUSeOi4dtZELYTmGZrfOAmKJAiB/qKj1wBT8UQ01/7yLrbeL55lvO32QHqSvbTTa7OnU57bW6dmWrA1bpFJOXXP3XyihGg6e5LWpkJFc9RWPIqhbLuW+UilwR21dEC7HSaL3LzEZB+yzXspkome/Vf9JMBnD3pT/gbTQW9uA/W73d6L3m3/Cn8FJe59mbOWZ3MbsJlXRGtDC/QqT0ZlkOoHUuPbvMQCVQb3UjzufXz+WL+9Y/4YZJLZt1Blgfsvzdtjj/uQJKyNeyD6RGxgAsSQz/R/9xjvkOq32HQVbJ2y1voV0nwSmZxpiuJYwbJxL3MxzEG7u41v4gKGcbDaegU5L9NEP7yf1r2Pz6YdZJ6B5ta6OHVr+j3v4grNFB2M0ULvYz/ORuq+HTpFoP/SAXf5JNDBcgZ41sogAhFnIsubgl7B3arYHOdSL0+uC8BwLLbws28Gv5VikOc3q4ve45zjQp/Oefl3qPEyMgPA3/1lffWthvqctA3xqtulUSs2M/8/0OIcBXWu3/BLQPWDAcZZkt8OSghuPn2/tNb+O6T5i8vnq2uvVl++ebn080bzN0q/Xvibhb9deLqwtvCPCz8v7C2cLFwshI/++tHPj/YfvX71H6/+69V/v/of2/TRd02fv1rwfl797/8BKSo75g==</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp in ⌦ r · u = 0 in ⌦ u(x, t = 0) = uinit(x) in ⌦ u = uD on @⌦D (r ⌦ u)n = 0 on @⌦N <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru r · u = 0 u(x, t = 0) = uinit(x) u = uD 1 2 r ⌦ u + (r ⌦ u)T n = 0 'SBDUJPOBMTUFQ๏ʹΑΔӄղ๏Ͱ࣌ؒΛࢄԽ ࣮ݧඇѹॖੑ/BWJFSr4UPLFTํఔࣜͷֶश