ADVANCE ON DUAL INTERPOLATION BOUNDARY FACE METHOD
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Abstract
CAD/CAE integration and automatic CAE are the inevitable tendency for future development of CAE software and have been the target for a number of software developers and algorithm researchers. Although a considerable amount of manpower and material costs has been invested in this field, it has failed to provide real solutions to crucial issues. The key to CAD/CAE integration and automatic CAE analysis lies in the automatic mesh division and complete entity analysis. Previous algorithms based on continuous meshes (the structured and unstructured meshes) required at least a "clean" CAD model to achieve automatic mesh generation, often requiring geometric repair, which is even more difficult to automate than mesh generation. However, the appearance of the dual interpolation boundary face method and discontinuous mesh makes it possible for CAD/CAE integration and automatic CAE analysis. Discontinuous mesh can effectively promote automatic CAE analysis development, while the dual interpolation boundary face provides theoretical support for the application of discontinuous mesh and the realization of CAD/CAE integration. A spherical subdivision method is proposed to improve the accuracy and stability of singular and near-singular integrals in boundary integral equation (BIE). Geometric mapping cross approximation algorithm and geometric cross approximation algorithm can reduce the storage of the dense coefficient matrix effectively and approximate the far-field matrix for large-scale computation. "5aCAE simulation software" based on the above theories can directly carry out CAE analysis on the CAD model using discontinuous mesh without geometric simplifying and repairing, which is difficult for existing commercial software. This paper presents a comprehensive overview of the dual interpolation boundary surface method and introduces the highlights of "5aCAE simulation software", which can provide technical support for national CAE software development.
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