| 书目名称 | The Shallow Water Wave Equations: Formulation, Analysis and Application | | 编辑 | Ingemar Kinnmark | | 视频video | | | 丛书名称 | Lecture Notes in Engineering | | 图书封面 |  | | 描述 | 1. 1 AREAS OF APPLICATION FOR THE SHALLOW WATER EQUATIONS The shallow water equations describe conservation of mass and mo mentum in a fluid. They may be expressed in the primitive equation form Continuity Equation _ a, + V. (Hv) = 0 L(l;,v;h) at (1. 1) Non-Conservative Momentum Equations a M("vjt,f,g,h,A) = at(v) + (v. V)v + tv - fkxv + gV, - AIH = 0 (1. 2) 2 where is elevation above a datum (L) ~ h is bathymetry (L) H = h + C is total fluid depth (L) v is vertically averaged fluid velocity in eastward direction (x) and northward direction (y) (LIT) t is the non-linear friction coefficient (liT) f is the Coriolis parameter (liT) is acceleration due to gravity (L/T2) g A is atmospheric (wind) forcing in eastward direction (x) and northward direction (y) (L2/T2) v is the gradient operator (IlL) k is a unit vector in the vertical direction (1) x is positive eastward (L) is positive northward (L) Y t is time (T) These Non-Conservative Momentum Equations may be compared to the Conservative Momentum Equations (2. 4). The latter originate directly from a vertical integration of a momentum balance over a fluid ele ment. The former are obtained indirectly, through subtraction of the cont | | 出版日期 | Book 1986 | | 关键词 | Fourier Analysis; finite element method; fluid; friction; information; mass; operator; peat; pressure; pressu | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-82646-7 | | isbn_softcover | 978-3-540-16031-1 | | isbn_ebook | 978-3-642-82646-7Series ISSN 0176-5035 | | issn_series | 0176-5035 | | copyright | Springer-Verlag Berlin, Heidelberg 1986 |
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