Numerical Examples of Non-Dissipative Discontinuous Kinematic Waves in Open Channels
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- Mean Sovanna
- Graduate School of Agriculture, Kyoto University
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- Unami Koichi
- Graduate School of Agriculture, Kyoto University
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- Fujihara Masayuki
- Graduate School of Agriculture, Kyoto University
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説明
<p> The kinematic wave model under the assumption of balanced gravity and friction forces has been applied in open channel hydraulics and surface hydrology. There persists a severe misunderstanding that a discontinuity of a kinematic wave occurs due to a discontinuity of input and then dissipates. This study clarifies that a discontinuity can develop without dissipation under the smoothness of all input. The theory of first-order quasilinear partial differential equations shows that Cauchy problems for the kinematic wave model have unique measurable and bounded solutions, which are possibly discontinuous. Numerical examples are presented to visualize the fundamental properties of discontinuous kinematic waves.</p>
収録刊行物
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- Journal of Rainwater Catchment Systems
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Journal of Rainwater Catchment Systems 27 (2), 33-36, 2022
日本雨水資源化システム学会
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詳細情報 詳細情報について
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- CRID
- 1390014093904464768
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- NII書誌ID
- AA11657953
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- ISSN
- 21866228
- 13438646
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- NDL書誌ID
- 032020884
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
- Crossref
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- 抄録ライセンスフラグ
- 使用不可