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首页> 外文期刊>Journal of Hydroinformatics >Improved solution reliability through generalised finite integral methods
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Improved solution reliability through generalised finite integral methods

机译：通过广义有限积分方法提高了解决方案的可靠性

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摘要

Model solution reliability is shown to be important for applications, where the computational method should accommodate a wide range of flow conditions through each model run without failure through instability or excessive run times. Such difficulties are linked to the use of poor assumptions in the derivation of models, in particular those neglecting energy solutions and the proper treatment of gradient discontinuities and shocks. Finite integral methods are introduced as a formal extension of longstanding traditional hydraulic analysis, leading through Control Element Lifetime Locus (CELL) Integral analysis to a new set of fundamental balance equations, the Full Hydraulic equations. These are then formulated for hydraulic streamtube analysis and discretised for separate numerical solutions for momentum and energy balances. Case studies for steady flow are referenced, where CELL energy balances improve solution robustness through a variable weighting scheme, accelerating convergence in comparison with widely used fixed weighting upstream Differencing and Central Differencing schemes. A standard dambreak case study is then used to show the same robust system also copes with severe unsteady flow discontinuities, even while Courant Numbers are varied by orders of magnitude.
机译：事实证明，模型解决方案的可靠性对应用很重要，在这种应用中，计算方法应适应每个模型运行的各种流动条件，而不会因不稳定或运行时间过长而失败。这些困难与在模型推导中使用错误的假设有关，尤其是那些忽略能量解和对梯度不连续性和冲击的正确处理的假设。引入了有限积分方法，作为对传统传统液压分析的正式扩展，它通过控制元素寿命轨迹（CELL）积分分析引入了一组新的基本平衡方程式，即Full Hydraulic方程式。然后将它们配制用于液压流管分析，并离散化以得到用于动量和能量平衡的单独数值解。参考了稳态流量的案例研究，其中CELL能量平衡通过可变加权方案提高了解决方案的鲁棒性，与广泛使用的固定加权上游差分和中央差分方案相比，加速了收敛。然后使用标准的溃坝案例研究来显示相同​​的鲁棒系统也可以应对严重的非恒定流不连续性，即使Courant数按数量级变化也是如此。

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