适合等几何分析的平面参数化初始化生成方法OA

In isogeometric analysis,high-quality parameterization of computational domains is crucial for ensuring the accuracy and efficiency of numerical solutions.However,when dealing with complex geometric features(such as high-curvature regions or narrow areas),traditional parameterization methods often lead to distortions,self-intersections,or overlaps,significantly compromising subsequent numerical computations.To address this problem,this paper proposes a progressive parameterization method based on intermediate geometries.By constructing a series of transitional geometries between the parametric domain and the target computational domain,the method conducts gradual mapping of the interior control points using mean-value mapping.Additionally,it incorporates existing optimization-based parameterization techniques to refine the intermediate geometries,ensuring that the entire mapping process maintains favorable properties and generates high-quality initial parameterization results for the computational domain.Experimental results demonstrate that the proposed method provides reliable initialization for isogeometric analysis of complex geometries,thereby producing superior parameterization outcomes.