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首页> 外文期刊>Archives of Hydro-engineering and Environmental Mechanics >Implicit versus Explicit Finite Volume Schemes for Extreme, Free Surface Water Flow Modelling
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Implicit versus Explicit Finite Volume Schemes for Extreme, Free Surface Water Flow Modelling

机译：隐式与显式有限体积方案，用于极端，自由地表水流动建模

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摘要

One explicit and three implicit finite volume method schemes of the Roe type are presented in the paper. The properties and applicability of these methods for modelling unsteady, rapidly varied, open channel flow are investigated. The schemes are used for numerical simulation of one-dimensional extreme flow described by de Saint-Venant equations. The computational results are compared with each other and an analytical (exact) solution to an idealized dam-break problem. The classical versions of general scheme implicit in time - fully implicit and trapezoidal scheme - are not restricted by a stability condition, like an explicit one, however they add some numerical diffusion and dispersion errors to the solution. The modification of parameter Θ, originally proposed for a box scheme of finite difference method, has improved computational properties of the general one-step implicit scheme. This version of finite volume scheme of the Roe type implicit in time can be recommended for modelling and simulation of transient flows in storm sewers and open channel networks.
机译：本文提出了一种Roe型显式和三种隐式有限体积方法。研究了这些方法对非稳态，快速变化的明渠水流建模的特性和适用性。该方案用于由de Saint-Venant方程描述的一维极端流动的数值模拟。将计算结果相互比较，然后对理想的溃坝问题进行解析（精确）求解。时间隐式的一般方案的经典版本-全隐式和梯形方案-不受显式条件的稳定条件的限制，但是它们为解决方案增加了一些数值扩散和色散误差。最初为有限差分法的盒式方案提出的参数Θ的修改具有改进的通用单步隐式方案的计算性能。可以建议使用此版本的时间隐含的Roe类型的有限体积方案来对雨水管道和明渠网络中的瞬变流进行建模和仿真。

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