Homogenized systems for liquid-vapour transition in unsteady compressible two-phase flow

非稳态可压缩两相流中液汽转变的均质系统

• 批准号: 5443408
• 负责人: Professor Dr. Gerald Warnecke
• 金额: --
• 依托单位: Institut für Analysis und Numerik (IAN)
• 依托单位国家: 德国
• 项目类别: Research Units
• 财政年份: 2005
• 资助国家: 德国
• 起止时间: 2004-12-31 至 2010-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/5443408?language=en
• 关键词: Homogenized; systems; liquid; vapour; transition

In this project, we consider the liquid-vapour flow as a homogenizedmixture of the two phases. The resulting models pose amajor challenge to mathematics, since there are a number ofimportant open questions to be studied. The primary goal is toimprove and validate numerical schemes for such models. Numericalsolutions are needed in many diverse engineering applicationsinvolving phenomena such as liquid sprays or bubblyflows. In order to improve the quality of numerical results weneed to address some mathematical issues concerning the modellingand resulting well-posedness of the equations. Also wewill have to develop a deeper unterstanding of the theory andnumerical methods for hyperbolic systems of equations containingnon-conservative derivatives. Another challenge is phaseextincion, which is related to vacuum states in gas dynamics.Further, it will be necessary to encorporate phase transitioninto the models and numerical computations.

在这个项目中，我们认为液-汽流是两相的均匀混合物。由此产生的模型对数学提出了重大挑战，因为有许多重要的开放性问题需要研究。主要目标是改进和验证这类模型的数值格式。在许多不同的工程应用中，如液体喷雾或泡状流等现象都需要数值解。为了提高数值结果的质量，我们需要解决一些数学问题，有关modelingand由此产生的方程的适定性。同时，我们也需要对含有非保守导数的双曲型方程组的理论和数值方法有更深的理解。另一个挑战是相变，它与气体动力学中的真空态有关，而且有必要将相变纳入模型和数值计算中。