Aerogel is studied numerically using a one-dimensional two-phase flow equations system. A hyperbolic and conservative two-phase flow model is applied to a mixture of porous media containing nanofluids. The application of non-equilibrium mixture behavior between phases is adopted and promoted in this current investigation. By establishing mixture conservation balance laws, finite volume techniques using Godunov methods of centered type are extended to aerogel simulations. Numerical results are compared with other methods providing a remarkable agreement. The computed results demonstrate the key capabilities of this existing mixture model in the resolution of discontinuities in aerogel problems and more reliable than applying a sophisticated single-phase flows with complex property models.

中文翻译：

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使用两相流动方程和 Godunov 方法对气凝胶进行高分辨率模拟

使用一维两相流方程系统对气凝胶进行数值研究。将双曲线和保守的两相流模型应用于含有纳米流体的多孔介质混合物。本研究采用并推广了相间非平衡混合行为的应用。通过建立混合物守恒平衡定律，使用中心型 Godunov 方法的有限体积技术扩展到气凝胶模拟。数值结果与其他方法进行了比较，提供了显着的一致性。计算结果证明了这种现有混合物模型在解决气凝胶问题中的不连续性方面的关键能力，并且比应用具有复杂特性模型的复杂单相流更可靠。