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This DS stores two- or three-dimensional meshes. it corresponds to a element by element mesh description. Each element is known by the following information:
The edges and faces are defined by the set of vertices. Only the coordinates of the vertices are stored. For more detail, the reader is referred to the end of this section and should consult [MODULEF User Guide - 3] and [George 1991].
DS NOPO is consists of 6 arrays of predefined order.
This integer array contains 32 variables, consisting of a general description of the job (title, date, name), of DS NOPO (type, level, ...), and indicates the presence or absence of array NOP1.
the job title in 20 words of 4 characters,
the data of creation in 2 words of 4 characters,
the creator's name in 6 words of 4 characters,
the DS type,
the DS level,
a reserved parameter,
the number of supplementary arrays associated with the DS (they are described in array NOP1).
This array is analogous to array B1 of DS B (see this DS).
This integer array contains 27 values.
the space dimension (2 or 3),
the maximum reference number,
the maximum sub-domain number,
the node-vertex coincidence code: 1 if they coincide throughout, 0 otherwise,
the number of elements in the mesh,
the number of elements reduced to a point,
the number of segments,
the number of triangles,
the number of quadrilaterals,
the number of tetrahedra,
the number of pentahedra,
the number of hexahedra,
the number of super-elements,
the number of boundary elements,
the number of nodes,
the number of nodes situated on a segment or an edge (excluding extremities),
the number of internal nodes in a triangle or a triangular face,
the number of internal nodes in a quadrilateral or a quadrilateral face,
the number of internal nodes in a tetrahedron,
the number of internal nodes in a pentahedron,
the number internal nodes in a hexahedron,
the number points,
the type of coordinate values (2 here, see NOP1),
The largest difference between the node numbers of an element +1,
the number of super-elements or descriptions in array NOP3,
the number of words in array NOP5,
the type of coordinate axis: 1 x,y,z ; 2 ; 3 .
If NBEGM (array NOP2) is non-zero, this integer array contains in one variable an information item relative to each super-element or description (this array is not actually used).
This NTYCOO type array contains the NDIM.NP coordinates of the vertices:
X1, Y1, X2, Y2, ... or
X1, Y1, Z1, X2, ...
This integer array describes each element in the mesh sequentially. It contains:
Having chosen the first vertex, each element is defined by:
Figure 1.4: Segment, triangle and quadrilateral
Figure 1.5: Tetrahedron, pentahedron and hexahedron
All faces, seen from the exterior, are described anti-clockwise:
face [1]: (1) (3) (2) (nodes p+1, ...)
face [2]: (1) (4) (3) (...)
face [3]: (1) (2) (4)
face [4]: (2) (3) (4)
All faces, seen from the exterior, are described anti-clockwise.
face [1] : (1) (3) (2) (nodes p+1, ...)
face [2] : (1) (4) (6) (3)
face [3] : (1) (2) (5) (4)
face [4] : (4) (5) (6)
face [5] : (2) (3) (5) (6)
All faces, seen from the exterior, are described anti-clockwise.
face [1] : (1) (4) (3) (2) (nodes p+1, ...)
face [2] : (1) (5) (8) (4)
face [3] : (1) (2) (6) (5)
face [4] : (5) (6) (7) (8)
face [5] : (2) (3) (7) (6)
face [6] : (3) (4) (8) (7)
Remark: Other elements, developed to treat specific problems, are added to the above elements corresponding to the usual geometric forms; we can cite, for example, the connected elements used to simulate a hinge (junction between two beams , for instance two segments; between two planes, for instance two quadrilaterals in the space).
Remark: In proportion to the requirements, new elements may appear. It is thus necessary to define them in a consistent manner.
A DS residing in core is written, as a whole (it is a category 1 DS), on sequential file via module SDECRI.
Similarly, a DS residing on file is read and transferred, as a whole, to main memory via module SDLECT.
The contents (total or partial) of a DS NOPO can be printed by the following modules:
SUBROUTINE IMNOPO(M,NFNOPO,NINOPO,IMPRE) C AIM : PRINT THE ARRAYS OF DS NOPO, INCREASING WITH IMPRE C --- FILE NFNOPO (OR MC IF 0), LEVEL NINOPO
SUBROUTINE IMNOPS(M,NFNOPO,NINOPO,ISTRES,INDIC,LINDIC) C AIM : PRINT ARRAYS 2 AND 5 OF DS NOPO C --- FILE NFNOPO (OR MC IF 0 ), LEVEL NINOPO C ISTRES = 0 NO NOP2, IF NOT PRINT NOP2 C INDIC(*) THE NUMBERS OF THE LINDIC ELEMENTS OF NOP5 TO PRINT
SUBROUTINE INFONO(M,IOPT,TYPESD,NIVEAU,TAB2,TAB4,TAB5,NUMREC, + XREC,YREC,ZREC) C AIM : OUTPUT INFORMATION REGARDING A MESH DS ( NOPO )
The preprocessors IMAGXX and INFOXX are used if a conversational call of IMNOPO and INFONO, respectively, is desired.
The mesh contained in a file can be plotted via preprocessor TRNOXX [96].
The reader is referred to [MODULEF User Guide - 3] for a description of the mesh construction and modification methods and modules.
There are numerous utilities available to manipulate the contents of a DS NOPO, amongst which we find the utilities to facilitate scrutinizing array NOP5.
SUBROUTINE CLNOPO (M,XM,IANOP2,IANOP4,IA,NCGE,NDSDE,NNO,NONO, + NPO,NOPOI,COORP,NREF) C AIM : READ ARRAY NOP5 ET EXPLAIN IT (!) C --- C IN : C -- C M,XM : THE SUPER ARRAY C IA : START ADDRESS OF ARRAY NOP5 ( IANOP5 ) C C OUT : C --- C THE SAME MNEMONICS AS IN BROCHURE < DESCRIPTION OF THE DS > C IA : UP-DATE ( START OF THE FOLLOWING ELEMENT ) C COORP : CPOINT COORDINATES C NREF : ARRAY OF REFERENCE NUMBERS C 3-D : POINTS, EDGES, FACES C 2-D : POINTS, EDGES SUBROUTINE CLNOIA(NCOPNP,NOP5,IA,NCGE,IAS,IAR,IAF,NPO,NOPO) C AIM : CLEAR ARRAY NOP5 (SEE CLNOPO) C --- C OUT : IA, IAS, IAR, IAF, NOPO AND NPO C --- ADDRESSES OF REFERENCES OR 0, ARRAY OF POINTS, C THE NUMBER OF POINTS SUBROUTINE CLNOIN(NCOPNP,NOP5,IA,NCGE,IAS,IAR,IAF,NPO,NNO,NONO) C AIM : CLEAR ARRAY NOP5 ( SEE CLNOPO ) C --- C OUT : IA, IAS, IAR, IAF, NPO, NNO, NONO SUBROUTINE CLNO5C(NDIM,NCOPNP,NOP5,IA,NCGE,NDSDE,NNO,NONO, + NPO,NOPOI,COOR4,COORP) C AIM : READ NOP5 AND COOR4 ( ALIAS NOP4 ) IN ORDER TO C COMPLETE NONO,NOPOI,...
Utilities NBSOME, NBARET and NBFACE output the number of vertices, edges and faces of each type of element.