Accurate spatial discretization error estimates are essential for some CFD applications. Notwithstanding, this subject has been systematically disregarded in the literature on bubbly flow simulation. This work evaluated the suitability of three error estimators (EEMs) in simulations of a benchmark bubble column. The employed EEMs were: Direct Taylor series (DTS), Richardson Extrapolation (RExt), and Eça-Hoekstra Least-Squares (EH-LS). The modeling approaches for the bubbly flow were: standard two-fluid model (TFM), hyperbolic TFM (hTFM), and mixture model (MixtM). Geometric means of the estimated error and of the difference between the solution obtained with the considered mesh and a nearly mesh-independent solution were used as comparison metrics. DTS resulted in inaccurate estimates for coarse meshes. Both EH-LS and RExt generated accurate results for MixtM, the latter presenting lower computational cost. RExt could not deal adequately with the oscillatory convergence pattern of hTFM. EH-LS was the only method suitable for both MixtM and hTFM.

准确的空间离散化误差估计对于某些CFD应用至关重要。尽管如此，有关气泡流模拟的文献已系统地忽略了该主题。这项工作评估了三个误差估计器（EEM）在基准气泡列模拟中的适用性。使用的EEM是：直接泰勒级数（DTS），理查森外推法（RExt）和Eça-Hoekstra最小二乘（EH-LS）。气泡流动的建模方法是：标准两流体模型（TFM），双曲TFM（hTFM）和混合模型（MixtM）。估计误差的几何平均值以及使用考虑的网格获得的解与几乎独立于网格的解之间的差异的几何平均值被用作比较度量。DTS导致粗网格估计不准确。EH-LS和RExt都为MixtM生成了准确的结果，后者的计算成本较低。RExt无法充分处理hTFM的振荡收敛模式。EH-LS是同时适用于MixtM和hTFM的唯一方法。