forced dispersive waves in a narrow channel

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    wavefr

    equency(radiansp

    ersecond)

    22

    20

    18

    16

    14

    12

    10

    8

    6

    4

    2

    m=9

    m=

    0

    0 10 20 30 40

    wavenumber (radians per meter)

    50

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    24

    wavefr

    equency(radiansp

    ersecond) 22

    20

    18

    16

    14

    12

    10

    8

    6

    4

    2

    m=9

    m=0

    0 10 20 30 40

    wavenumber (radians per meter)

    50

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    1.5

    group

    velocity(meterspe

    rsecond)

    1

    0.5

    0

    m=0

    m = 9

    0 10 20 30 40 50

    wavenumber (radians per meter)

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    1

    group

    velocity(meterspe

    rsecond)

    0.9

    0.8

    0.7

    0.6

    0.5

    0.4

    0.3

    0.2

    0.1

    0

    m=0

    m = 9

    0 10 20 30 40

    wavenumber (radians per meter)

    50

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    http://anim/wave_elevation_1st_mode_30m.avihttp://anim/wave_elevation_2nd_mode_bcutofl_30m.avihttp://anim/wave_elevation_2nd_mode_bcutofl_30m.avihttp://anim/wave_elevation_2nd_mode_bcutofl_30m.avihttp://anim/wave_elevation_1st_mode_30m.avihttp://anim/wave_elevation_1st_mode_30m.avi
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    0.9

    groupvelocity(meters

    persecond)

    Maximum group velocity for 1 st cosine mode

    0.8

    0.7

    0.6

    0.5

    0.4

    0.3

    0.2

    0.1

    0

    n=0 l

    n = 9

    Maximum group ve ocity for the 2ndcosine wave mode

    0 10 20 30 40

    wavenumber (radians per meter)

    50

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    http://anim/wave_elevation_at_cutoff_1st_mode_30m.avihttp://anim/wave_elevation_5modes_30m.avihttp://anim/wave_elevation_5modes_30m.avihttp://anim/wave_elevation_5modes_30m.avihttp://anim/wave_elevation_at_cutoff_1st_mode_30m.avihttp://anim/wave_elevation_at_cutoff_1st_mode_30m.avi