A versatile two-dimensional mesh generator with automatic bandwidth reduction

Abstract A relatively-straightforward mesh generation program based on isoparametric mapping concepts is presented. User-defined isoparametric superelements are subdivided, as specified by the user, into 3-noded or 6-noded triangular elements or into 4-noded or 8-noded isoparametric quadrilaterals. Temperatures and thicknesses (or any other characteristics) at the superelement nodes are mapped so as to provide the appropriate nodal values for the subelements. Material specification codes from parent superelements are also transferred as subelement characteristics. An automatic node renumbering scheme is included to minimize the nodal connectivity of the generated mesh.

[1]  Differences between isoparametric assumptions and true circles , 1976 .

[2]  R. E. Jones.  A Self-Organizing Mesh Generation Program , 1974 .

[3]  Fevzican A. Akyuz.  Natural coordinate systems an automatic input data generation scheme for a finite-element method , 1970 .

[4]  O. Zienkiewicz.  The Finite Element Method In Engineering Science , 1971 .

[5]  L. Herrmann.  Laplacian-Isoparametric Grid Generation Scheme , 1976 .

[6]  J. Cavendish.  Automatic triangulation of arbitrary planar domains for the finite element method , 1974 .

[7]  O. C. Zienkiewicz,et al.  An automatic mesh generation scheme for plane and curved surfaces by ‘isoparametric’ co‐ordinates , 1971 .

[8]  W. R. Buell,et al.  Mesh Generation—A Survey , 1973 .

[9]  C. O. Frederick,et al.  Two-dimensional automatic mesh generation for structural analysis (ijnme 2 (1970)) , 1970 .

[10]  Georges Akhras,et al.  An automatic node relabelling scheme for minimizing a matrix or network bandwidth , 1976 .

[11]  R. Collins.  Bandwidth reduction by automatic renumbering , 1973 .

[12]  Lawrence L. Durocher,et al.  A numerical comparison of axisymmetric finite elements , 1978 .

[13]  H. A. Kamel,et al.  A Solids Mesh Generator and Result Display Package , 1974 .

[14]  L. Segerlind.  Applied Finite Element Analysis , 1976 .

[15]  W. A. Cook.  Body oriented (natural) co-ordinates for generating three-dimensional meshes , 1974 .

[16]  A. Bykat,et al.  Automatic generation of triangular grid: I—subdivision of a general polygon into convex subregions. II—triangulation of convex polygons , 1976 .

[17]  Bruce M. Irons,et al.  A frontal solution program for finite element analysis , 1970 .

[18]  G. Steinmueller.  Restrictions in the application of automatic mesh generation schemes by ‘isoparametric’ co-ordinates , 1974 .