To improve the accuracy for solving the ion-flow field problem, an adaptive refinement method based on the streamline upwind Petrov–Galerkin (SUPG) formula is proposed. The error transport equation has been decomposed to a series of local boundary value problems and solved by the method of local characteristic. An equidistributional strategy is applied to steer the refinement. Numerical examples show that the results using the grid generated by the proposed method are more accurate and efficient than the ones with the regular refinement strategy. An example of application shows that this method is suitable for simulating the ion-flow problem with a complex geometry.

中文翻译：

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求解高压直流输电线路离子流场的自适应细化方法

为了提高求解离子流场问题的精度，提出了一种基于流线迎风Petrov-Galerkin（SUPG）公式的自适应细化方法。误差输运方程被分解为一系列局部边值问题，并采用局部特征法求解。应用等分布策略来引导细化。数值例子表明，使用所提出的方法生成的网格的结果比使用常规细化策略的结果更准确和有效。一个应用实例表明，该方法适用于模拟具有复杂几何形状的离子流问题。