Abstract Free surfaces and fluid interfaces are encountered in a wide variety of gas-liquid configurations. Although many numerical approaches exist to solve such flows, there is still a need for improved simulation methods. Recently, a new efficient geometric VoF method for general meshes, called isoAdvector, was implemented in OpenFOAM®. More recently, the isoAdvector method was significantly improved by introducing a variant using a reconstructed distance function (RDF) in the interface reconstruction step. Elementary quantitative benchmarks are essential for validation and comparison of interfacial solvers. We present here three benchmarks results that were used for validation of the original and new variant of the isoAdvector method. Comparisons are made with reference data and OpenFOAM® VoF original solver, interFoam, employing the MULES limiter. The first case is the static bubble under zero gravity. The RDF reconstruction method demonstrates better prediction of the interface curvature, pressure jump between the phases and strong reduction of the spurious currents. The second and third validation cases are single rising bubbles in a quiescent liquid, with a spiraling path for the third case. Either on hexahedral or tetrahedral grids, the RDF reconstruction method demonstrates a better behavior.

中文翻译：

---

使用单气泡基准验证流体体积 OpenFOAM® isoAdvector 求解器

摘要 自由表面和流体界面在各种各样的气液配置中都会遇到。尽管存在许多求解此类流动的数值方法，但仍然需要改进的模拟方法。最近，在 OpenFOAM® 中实现了一种新的通用网格几何 VoF 方法，称为 isoAdvector。最近，通过在界面重建步骤中引入使用重建距离函数 (RDF) 的变体，isoAdvector 方法得到了显着改进。基本的定量基准对于界面求解器的验证和比较至关重要。我们在此展示了三个基准测试结果，用于验证 isoAdvector 方法的原始变体和新变体。与参考数据和 OpenFOAM® VoF 原始求解器、interFoam、使用 MULES 限制器。第一种情况是零重力下的静态气泡。RDF 重建方法展示了对界面曲率、相之间的压力跳跃和寄生电流的强烈降低的更好预测。第二个和第三个验证案例是静止液体中的单个上升气泡，第三个案例具有螺旋路径。无论是在六面体还是四面体网格上，RDF 重建方法都表现出更好的行为。