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首页> 外文会议>The 2001 ASME International Mechanical Engineering Congress and Exposition, 2001, Nov 11-16, 2001, New York, New York >IMPLEMENTATION OF THE COMPRESSIBLE FLOW SOLUTION METHODOLOGY FOR SOLVING 2D SHALLOW-WATER FLOW PROBLEMS
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IMPLEMENTATION OF THE COMPRESSIBLE FLOW SOLUTION METHODOLOGY FOR SOLVING 2D SHALLOW-WATER FLOW PROBLEMS

机译：解决二维浅水流问题的可压缩流解方法的实现

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This paper concerns with the implementation of the compressible flow solution methodology for solving 2D shallow water flow problems. It is well known that in both cases, the continuity and momentum conservation equations look quite similar, but depth replaces density of compressible flow, and the Froude number will replace the Mach number. Thus, any mass imbalance produces a change in depth equivalent to the density change for compressible flow. It is possible to combine momentum and continuity equations to obtain a predictor-corrector algorithm for establishing the depth field. However, as the Froude number increases, the governing equations change their character from elliptic to hyperbolic, with a parabolic transition at a Froude number of unity and this change is not reflected in the equivalent classical pressure-correction equation, which keeps its elliptic character. The extension of incompressible (SIMPLE-based methods) to compressible flows, incorporates a convection-like term (wave velocity related) to the pressure-correction equation. The drawback of the extension of the pressure-correction to compressible flows was the poor shock-capturing capability, which is due mainly to the treatment of the convective terms in the conservation equations. In this work, a high order bounded treatment of the convective terms along with the depth-correction for all Froude numbers is implemented. A numerical solution is presented for all Froude numbers, and it is compared with benchmark problems
机译：本文涉及解决二维浅水流问题的可压缩流解方法的实现。众所周知，在这两种情况下，连续性和动量守恒方程看起来都非常相似，但是深度代替了可压缩流的密度，而弗洛德数将代替马赫数。因此，任何质量失衡都会产生与可压缩流密度变化相当的深度变化。可以组合动量和连续性方程以获得用于建立深度场的预测器-校正器算法。但是，随着弗劳德数的增加，控制方程的特性从椭圆变为双曲线，抛物线跃迁以弗劳德数为单位，并且这种变化未反映在等效的经典压力校正方程中，该方程仍保持椭圆特性。将不可压缩（基于SIMPLE的方法）扩展到可压缩流，将对流式项（与波速有关）合并到压力校正方程中。将压力校正扩展到可压缩流的缺点是差的震动捕获能力差，这主要是由于守恒方程中对流项的处理。在这项工作中，对流项的高阶有界处理以及所有Froude数的深度校正都得以实现。给出了所有弗洛德数的数值解，并将其与基准问题进行了比较

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