饱和-非饱和三维流场核素迁移的数学模型及其应用

The Mathematical Model and Application of Nudide Migration in the Saturalted-Unsatarated 3D Flow Field

根据饱和-非饱和三维流场溶质运移模型和特征,提出了三维流场溶质运移模型分裂迎风特征和格式;给出了格式的稳定性条件和迎风元判别式;将理想模型的解析解与数值解进行了比较。结果表明,该格式对求解对流占优问题效果好,能有效克服数值弥散和解的振荡。本文给出的数学模型和分裂迎风格式被用于某地中低放废物处置场选址评价中得到了满意的结果。

According to the saturated-unsaturated 3D flow character and model,this paper proposes solute migration model and form,give out the stability condition to form and the stability criterion to the upstream unit,and compare the numerical solution and analytical solution of the ideal model.Result expresses that divided upstream form is useful for the dominant convection question,and overcome efficiently the analytical oscilcation and numerical dispersion.The model and the divided upstream form have satisfactorily been applied in the field of the radionuclide waste disposal and evaluation.