Patent ID: 8174525

Claim:
A tetrahedral mesh generating method for finite-element analysis executable by a computer, comprising: a first step of generating a high-density tetrahedral mesh of a solid model of a product and of adding an identification sign to a mesh element of the high-density tetrahedral mesh, to which an analyzing condition is set; and a second step of performing simplification for generating a low-density tetrahedral mesh for finite-element analysis by reducing the number of said high-density tetrahedral meshes generated by said first step, using an edge collapse processing and retaining the mesh element to which the analyzing condition is set, wherein said second step comprises; calculating a new vertex for integrating vertexes at both end points of a ridge line forming the high-density tetrahedral mesh to one, estimating a possibility to adapt the edge collapse processing for all ridge lines including the ridge line changed by the calculated new vertex, estimating a degree of quality conservation of the tetrahedral mesh when the edge collapse processing is used for an effective ridge line which is estimated the possibility to adapt the edge collapse processing by using the effective ridge line estimated maximum degree of quality conservation of the tetrahedral mesh and a position of the new vertex, wherein the possibility to adapt the edge collapse processing is estimated for all ridge line including the ridge line changed by the new vertex to satisfy a parameter for controlling the characteristics of mesh, which is preset for a lower limit τ ST of the quality of element shape, an upper limit τ sz , of the size, an upper limit τ TL of an approximation error for shape, and an upper limit τ VL , and the degree of quality conservation of the tetrahedral mesh is estimated a quality of element shape of the tetrahedral mesh obtained by using the edge collapse processing on the basis of a stretch S t (h) of the tetrahedral mesh in following equation having 0.05 or more: S t ( h )=6√6 V h /(max eΣh ×S h ) Wherein V h : the volume of the tetrahedral mesh S h : the surface area of the tetrahedral mesh.