论文标题
用于vof的全机求解器中的耦合压力温度方程的多机求解器
A multigrid solver for the coupled pressure-temperature equations in an all-Mach solver with VoF
论文作者
论文摘要
我们提出了Fuster＆Popinet（2018）的全程求解器的概括，以说明两个不同的可压缩阶段之间的热扩散。通过解决压力和温度方程的双向耦合系统，当前代码被证明可以提高求解器相对于经典显式离散方案的鲁棒性和准确性。提出了不同的测试用例以验证热效应的实现：温度的爱泼斯坦 - 植物类似于温度的问题可以很好地与光谱方法解决方案进行比较。该代码还重现了球形气泡的自由小振幅振荡，其中可以捕获等温度和绝热状态之间的过渡。我们显示了直立波中单个声发光气泡（SBSL）的结果，其中DNS的结果与文献中的其他方法进行了比较。此外，还研究了雷利崩溃问题，以评估球形气泡崩溃期间所达到的峰值压力的热效应的重要性。最后，研究了刚性边界附近气泡的崩溃，报告了热通量随隔距离的变化。
We present a generalisation of the all-Mach solver of Fuster & Popinet (2018) to account for heat diffusion between two different compressible phases. By solving a two-way coupled system of equations for pressure and temperature, the current code is shown to increase the robustness and accuracy of the solver with respect to classical explicit discretization schemes. Different test cases are proposed to validate the implementation of the thermal effects: an Epstein-Plesset like problem for temperature is shown to compare well with a spectral method solution. The code also reproduces free small amplitude oscillations of a spherical bubble where analytical solutions capturing the transition between isothermal and adiabatic regimes are available. We show results of a single sonoluminescent bubble (SBSL) in standing waves, where the result of the DNS is compared with that of other methods in the literature. Moreover, the Rayleigh collapse problem is studied in order to evaluate the importance of thermal effects on the peak pressures reached during the collapse of spherical bubbles. Finally, the collapse of a bubble near a rigid boundary is studied reporting the change of heat flux as a function of the stand-off distance.
