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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Kinematic wave ： ウィキペディア英語版 Kinematic wave In gravity and pressure driven fluid dynamical and geophysical mass flows such as ocean waves, avalanches, debris flows, mud flows, flash floods, etc., kinematic waves are important mathematical tools to understand the basic features of the associated wave phenomena. 〔 〕 These waves are also applied to model the motion of highway traffic flows.〔 〕 〔 〕 In these flows, mass and momentum equations can be combined to yield a kinematic wave equation. Depending on the flow configurations, the kinematic wave can be linear or non-linear, which depends on whether the wave celerity is a constant or a variable. Kinematic wave can be described by a simple partial differential equation with a single unknown field variable (e.g., the flow or wave height, $h$) in terms of the two independent variables, namely the time ($t$) and the space ($x$) with some parameters (coefficients) containing information about the physics and geometry of the flow. In general, the wave can be advecting and diffusing. However, in simple situation, the kinematic wave is mainly advecting. == Kinematic wave for debris flow == Non-linear kinematic wave for debris flow can be written as follows with complex non-linear coefficients: :$\backslash frac\; +\; C\; \backslash frac\; =\; D\; \backslash frac,$ where $h$ is the debris flow height, $t$ is the time, $x$ is the downstream channel position, $C$ is the pressure gradient and the depth dependent nonlinear variable wave speed, and $D$ is a flow height and pressure gradient dependent variable diffusion term. This equation can also be written in the conservative form: :$\backslash frac\; +\; \backslash frac\; =0,$ where $F$ is the generalized flux that depends on several physical and geometrical parameters of the flow, flow height and the hydraulic pressure gradient. For $F=h^2/2$, this equation reduces to the Burgers' equation. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Kinematic wave」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.