Level set field reconstruction method and system based on three-dimensional finite element mesh and medium

By using a horizontal field reconstruction method based on a three-dimensional finite element mesh, the reconstruction problem of traditional methods when dealing with complex deformable bodies is solved, and continuous and accurate tracking of solid interfaces on Euler mesh is achieved, thus improving the reliability and accuracy of fluid-structure interaction calculations.

CN120976484APending Publication Date: 2025-11-18GENERAL ENG RES INST CHINA ACAD OF ENG PHYSICS
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Patent Information

Application Number
CN202511117018.4
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-08-11
Publication Date
2025-11-18

AI Technical Summary

Technical Problem

Traditional non-conformal fluid-structure interaction methods for tracking solid deformation motion are only suitable for handling the motion of rigid solids with regular shapes or explicit analytical expressions, and are difficult to reconstruct the spatial horizontal field corresponding to the motion of the deformable body mesh.

Method used

A method for reconstructing the horizontal set field based on a 3D finite element mesh is provided. This method involves dividing the target 3D entity into a finite element mesh, extracting the boundary surface mesh, dividing it into a Cartesian mesh, obtaining the sets of intersecting and non-intersecting meshes, updating the horizontal set value based on the intersection mapping relationship, and correcting the horizontal set value of the non-intersecting mesh, thereby achieving continuous and accurate tracking of the solid interface on the Eulerian mesh.

Benefits of technology

While maintaining the independence between the Cartesian mesh of the flow field and the finite element mesh of the solid, this method avoids information loss and interpolation errors caused by mesh mismatch, significantly improving the reliability and accuracy of fluid-structure interaction calculations and supporting arbitrary large deformations and topological changes.

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Abstract

The invention discloses a level set field reconstruction method and system based on a three-dimensional finite element grid and a medium. Relates to the technical field of geometric reconstruction. Positioning a space Cartesian grid area intersected with the boundary surface grid based on a separation axis theory; calculating a geometric space point-surface position relation, calculating a directed projection distance from a space Cartesian grid center to a two-dimensional boundary surface grid, and correcting the positive and negative characteristics of a Cartesian grid level set value based on a three-dimensional eight-direction rapid scanning method, so that the grid level set value is consistent with a region boundary value; according to the method, the geometric reconstruction problem of the deformable body which is complex in appearance and free of explicit analytic expression can be efficiently and accurately solved, a coupling approach between a finite element grid and a Cartesian grid is established under a non-conformal grid system, and the flexibility and universality of explicit calculation of a level set function under the Cartesian grid are improved.
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