MATISSE 2.0
Contents
1. 1 1 Purpose of document This document is the outline description and user manual for version 2 0 of the MATISSE software Its purpose is to describe the developments and new functions added to version 1 1 It thus supplements document 1 1 2 Purpose of version 2 0 of MATISSE Version 2 0 of MATISSE now offers users functions for constructing regular grids These are vital for many studies in particular river studies where the computational domain is longer than it is wide as they allow the number of nodes in the final grid to be considerably reduced and an anisotropic grid to be simulated 1 3 Terminology The following terminology will be used in this document azone is aclosed polygonal sequence that is not self intersecting or simple polygon an adjustable zone is one that can be adjusted if has been validated by the software when passing into DEM mode The user can thus select it in MESH mode in order to adjust it aregular zone is one that can be selected by the user and adjusted in MESH mode aridge is a segment connecting two points Nevertheless this notion does not exist as such in the MATISSE interface in the BATHYMETRY and GEOMETRIC LINES modes 2 General user procedure In GEOMETRIC LINES mode the user must define the geometric supports for the zones that he may wish to include in the regular grid This stage involves building a set of polygonal sequences using the new building functions available i2. A A ves mote a a yas 10 34T Topological tests erered en ree kre aen Ere au RNE S EE S Deepens teed 10 BAZ ter JUnCHONS 2 ranee iee E E E E E EEE EEEE E EEEE EEEE 12 3 5 MESH ODS iseis ioeie Prunes tenstetsboupiieensdictiies beer e S E n E E HS ae ia 12 BIA Meshing procedure cssccstesccssssesotoesscteesassnastesbietsceessedveesdoetscgasseisdeeisessansasesacdedesasaseesesteets 12 3 5 2 Management of regular Zones sccescesseesseeseeeseesecesecusecsecasecasecseeeseesaeeseeeneceeenseceaeenaeenas 12 3 3 Regular grid Options ciciscscocesccaceases covssevs see sete oneee se eases EEEE EREE EEEE susuvens EE TESES 13 3 5 4 Dependence between regular zones re diSCretiSAtiOn 1 sccscccsseesseesseeeeeeceseceeceseonaeente 16 3 5 5 Case of prescribed points and constraint VINES ce eeseesesecneeeeneeeceseeecesecaeeecueeeecnseeeeees 17 3 5 6 Interactive modification Of the grid cccceccscceecsescesecesecesecnsecasecseesseesseeseeeseeesecesecneeeeenaes 17 3ED7 5 Altimetrie INterPOlATONS a asinsrades 17 DDO REMESHING nenea a A a Sadie nesses Neay een d dees dagen hahaa aati 18 3 6 BOUNDARY CONDITIONS mode 0 0 cc eceecceseesseeeeesecseeeeeeseceaeeaeeecaecaeeeneeaeceeeneeetes 18 i 4 CON CIUSION serececiccecccdeiesceteicesccedisussecousuevsesesescessdceesssdesesscsvacebcsstenescccesseoesscdecesecsvisoeovetateces LO EDF R amp D MATISSE V2 0 LNHE Principle note and user document Page 4 19 1 Introduction
3. Regular grid points inside zones are interpolated as in the previous version MATISSE Version 1 All points inside the adapted grid 2D type interpolation after location in the DEM grid are interpolated normally In contrast 1D type linear interpolation is carried out for the peaks of regular grid edges depending on the position of these points in relation to the points of the original lines In the graph below this means finding where the points of the regular grid red dots fit between the DEM data points circles EDF R amp D MATISSE V2 0 LNHE Principle note and user document Page 18 19 O original points defining the zone calculated points derived from the adjusted grid point F is inside the zone and will therefore be interpolated from the points of the DEM mesh that contain it point E is between points C and D and will therefore be interpolated linearly between these points 3 5 8 Remeshing After deletion Delete mesh of zone option the user may remesh regular zones that have already been meshed modifying the adjustment parameters and if he wishes remesh only the adapted part of the grid with another criterion If the user wishes to modify the grid of a regular zone Zone edition selection option the adapted part will be deleted and the user may select the regular zone to be deleted and remeshed The adapted part must therefore be reconstructed In all events it is up to the user to trigger the adaptati
4. EDF R amp D Electricit de France DEPARTEMENT LABORATOIRE NATIONAL D HYDRAULIQUE ET ENVIRONNEMENT GROUPE HYDRAULIQUE A SURFACE LIBRE ET EXPLOITATION 6 QUAI WATIER F 78401 CHATOU CEDEX TEL 33 1308 FAX 33 1 30 87 80 86 AFAQ ISO 9001 2000 CERTIFIED BOULET T MATISSE Version 2 0 PRINCIPLE NOTE AND USER DOCUMENT June 2004 Summary This document is the documentation for version 2 0 of Matisse Its purpose is to list the new functions included in version 1 1 offering the user the possibility of generating regular grids These are vital for many studies in particular river studies where the computational domain is longer than it is wide as they allow the number of nodes in the final grid to be considerably reduced Accessibility EDF GDF EDF 2004 EDF R amp D MATISSE V2 0 LNHE Principle note and user document Page 2 19 SUMMARY This document is the outline description and user manual for version 2 0 of the MATISSE software Its purpose is to describe the developments and new functions added to version 1 1 This version now offers users functions for constructing regular grids These are vital for many studies in particular river studies where the computational domain is longer than it is wide as they allow the number of nodes in the final grid to be considerably reduced and an anisotropic grid to be simulated EDF R amp D MATISSE V2 0 LNHE Principle note and user document Page 3 19 Table of conte
5. an interactive choice left to the user in the same way as he chooses a step size map for adaptation from among all those he has defined in DEM mode Regular zones will always be meshed successively before the adaptation part The final grid is obtained after assembling the grids of regular zones and the adapted grid The adapted grid is calculated at the end of the process using what is left in addition to the domain of the zones actually adjusted It will be noted that even in the particular case where the domain is entirely covered by a regular zone the user must choose the Calculate grid option before obtaining the final assembled grid 3 5 2 Management of regular zones One or more zones are selected by clicking with the mouse or choosing the name Problems of selecting adjustable zones that are included in one another can thus be overcome by selecting the name using the foreground background display function By selecting a zone two main types of operation can be performed Zone meshing A zone can be meshed if it is valid and if it does not contain a zone that has already been adjusted EDF R amp D MATISSE V2 0 LNHE Principle note and user document Page 13 19 Zone regular grid Zone 2 invalidated by the meshing of zone 1 Modifying and editing a zone If the adjustable zone selected is already meshed the grid can be either deleted or re meshed In any event the
6. cribes certain conditions on the adjustment parameters 3 5 4 Dependence between regular zones re discretisation Because of the construction method regular zones may be adjacent i e they may have shared ridges or contour lines The meshing of an adjustable zone may thus re discretise its contour and the modification will extend to neighbouring zones that share the modified contour This propagation effect will also affect contours that may share information of geometric line type as in the case of regular zones adjoining the exterior boundary for example EDF R amp D MATISSE V2 0 LNHE Principle note and user document Page 17 19 The description of zone 2 is modified by the grid i of zone 1 As the topology is modified certain zones may no longer be compliant their description will no longer correspond to the validation criteria at the entrance to the DEM self intersection intersection with another side or with a contour inclusion rules not obeyed Thus if the user is not careful it is possible that regular grid generation for one zone may render another zone or adjacent entity inconsistent A message is sent to the user in the event of a serious problem He must then modify the adjustment parameters in order to solve the problem section 3 5 3 1 3 5 5 Case of prescribed points and constraint lines If the user selects constraint lines crossing part or all of the regular zones the mesher locally modifies the gr
7. ction point 4 o Creation of lines Graphically created point 3 EDF R amp D MATISSE V2 0 LNHE Principle note and user document Page 6 19 In addition in interactive mode this line creation function detects and prevents the termination of a line based on its first point without the line being closed This function therefore proposes that the user should close the line automatically in this situation and in the event of a refusal does not keep the last point entered In this way the user is not led into thinking that he has created a closed line This function also manages line extension cases Starting from a line end point 1 it may use as a basis bathymetry points 2 points belonging to another line 3 points created graphically in the domain 4 or a point to be created on a ridge of an existing line 5 intersection In the last case the points created will be added to the existing lines and shared with the line being constructed Line extension Line 1 ace Point on another line 3 hg Point 2 O End point 1 Calculated intersection point 5 A Graphically created point 4 Connection of lines 1 and 2 Depending on the situation the methods for interpolating the bathymetry of created points are as follows for a new point in the domain calculated from the terrain model or fixed at a constant value defined by the user for a point created on a ridge calculated from the existing support lin
8. e modifications in GEOMETRIC LINES mode may have been made since the last check there is no intersection between the various zones or between these zones and the domain contours all of which have now been identified no contour line and hence an inner contour is included inside a zone if this is the case the zone is deactivated and a warning given but this anomaly is not considered to be critical the zones are included in the domain Any zones that do not pass these tests are not adopted Zones that successfully pass all these tests are validated and will become adjustable zones These tests also detect whether part of the domain is not covered by an adjustable zone In this case there will necessarily be an adapted zone and a step size map will have to be defined In contrast if the entire domain is covered by adjustable zones that have actually been adjusted there will be no adapted part and the user will not have to define a step size map the inclusion of adjustable zones Indeed it is not possible to mesh all types of zone and in particular zones containing inner contours or other zones that have already been meshed The various possible case of inclusion and the expected result in terms of zone validation or invalidation are represented in the following figure Remark T Outside the domain island EDF R amp D MATISSE V2 0 LNHE Principle note and user document Page 12 19 In the examples presen
9. e edition function Corner points can also be modified in the MESH mode Zone construction ends with automatic verification that the set of lines by which it is defined do not intersect In the event of intersection the construction process is cancelled and an error message is displayed on the screen The user may also use a zone audit function cf section 3 3 4 3 3 3 Zone edition and manipulation functions These functions enable the user to select one or more zones A zone is selected by choosing its name clicking with the mouse on the zone or foreground background selection probe a zone the name of the zone where the mouse cursor is situated is displayed move a zone to the foreground background select everything destroy one or more zone s edit a zone i e modify zone attributes names corner points 3 3 4 Geometric audit function Checking operations are carried out at various stages of the process whenever a zone is created a non intersection test is carried out automatically when entering ZONE mode the software checks that none of the zones are self intersecting The user may indeed have modified the geometric lines adjoining the zones and the set of lines defining this zone may thus be self intersecting Zones that do not pass this test are destroyed in ZONE mode the user may select a zone and ask for a first level audit to be carried out This prepares the transition into DEM mode du
10. e or fixed at a constant value defined by the user Remark a created line supported at one of its ends on a point that is itself the end of another line may be connected to this second line with the user s agreement If both ends of the created line are ends of existing lines the whole thing may be transformed into a single line or a closed line may be created This is thus an enlarged Connect function offering the possibility of connecting several lines while creating points between the ends of these lines EDF R amp D MATISSE V2 0 LNHE Principle note and user document Page 7 19 3 2 2 Intersection fusion function This function is used to modify data of geometric line type in order to eliminate any line superimposition Zone contours must not intersect or be superimposed The changes proposed in the line creation and extension function enable the user to construct lines and zones in compliance with this topological consistency Nevertheless the user may be faced with this type of problem in the case of imported geometries or geometric objects circles rectangles transformed into lines To do this the intersection fusion function transforms two selected lines into two new lines modified to comply with this minimum topology by inserting points at proper intersections which will be shared by the two parent lines by eliminating common ridges in the case of improper intersections The line designated as having priority by th
11. e user will continue to be supported on these ridges while the one with lower priority will be modified by having the ridges eliminated The order of selection determines a priority between the objects and defines which one may be cut and which will remain whole The first one selected has priority over the second Introducing this semantic choice enables the user to control the results of his operations more effectively These same tules are used in the altimetric interpolation of intersection points the altimetry will be calculated by linear interpolation between the points on the priority line The contour also has priority over any other entity irrespective of the order of selection Two contours cannot intersect therefore This notion of priority is also used to designate the line that must remain complete regardless of the geometric situation in the case of proper intersections the information relating to both lines is retained and the calculated point s will be inserted on these two lines inthe case of fusion improper intersection the priority line is kept intact possibly with one or two proper intersection points being added The non priority line is cut by eliminating the common ridges with the priority line and will thus be transformed into one or more polygonal sequences The diagrams below show the results expected in the case of two simple examples EDF R amp D MATISSE V2 0 LNHE Principle note and user document Pa
12. ge 8 19 Pra Case of proper Case of improper intersections intersections E Examples of the results of fusion and intersection calculations for two polygonal sequences Remark zones adjoining lines that have been cut lines with less priority in the case of improper intersections will be eliminated for reasons of consistency 3 3 ZONE mode A new working mode has been created in MATISSE Version 2 0 This ZONE mode combines the various handling options connected with adjustable zones It is used to define zone contours on the basis of geometric lines derived from the GEOMETRIC LINES mode to offer tools for handling these zones editing deletion auditing etc to check the consistency of defined zones before going into DEM mode 3 3 1 Notion of zone A zone is a closed set of lines adjoining sub sequences derived from geometric lines Any manipulation of shared data in GEOMETRIC LINES mode eliminating peaks shifting peaks adding peaks etc will have an effect on zone definition It should be noted that zone validity non intersection may be thrown into question if it has been validated previously EDF R amp D MATISSE V2 0 LNHE Principle note and user document Page 9 19 In addition 4 corner points are associated 2 at the entrance and 2 at the exit to divide this set of lines into four sides an entrance an exit and two edges These sides are oriented and define a transverse direction and long
13. id that has already been constructed in the regular zones in order to add the peaks defined by the intersection of the re discretised constraint lines and the ridges of the regular grids So the grids will no longer be adjusted in certain places The user may avoid this situation by cutting the constraint line so that it does not pass over a regular zone Similarly if prescribed points have been defined in DEM mode chosen by the user and are included in a regular zone then the regular grid will be locally modified during assembly in order to integrate the said point 3 5 6 Interactive modification of the grid Once the final grid has been completed access to the grid manipulation and display functions is proposed as in MATISSE Version 1 It will be recalled that when a new grid is calculated with a different step size map for example manual modifications of points in the regular zones or adapted part will be forgotten 3 5 7 Altimetric interpolations Interpolations are made at the time of assembling the final grid The user has the possibility of modifying the bathymetry of certain points for example those belonging to zone support lines which does not throw into question the geometric validity of the regular grid associated with this zone This choice means that it is possible to ensure consistency between the altitudes of all points in the final grid The bathymetry is therefore inaccessible until the grid has been assembled
14. ies are symmetrical with respect to the centre of the line progressing in an increasing or decreasing manner towards the edges Lastly there is another parameter this time linked to the zone It is therefore unique and independent of the edge meshing methods It is the type of breakdown of the quadrilaterals created by the adjustment module which leads to the creation of triangular meshes Alternating 1 Alternating 2 Non Alternating 1 EDF R amp D MATISSE V2 0 LNHE Principle note and user document Page 15 19 Non Alternating 2 Smallest length Greatest length AD NE WNA alteme2 Wak aD Md NASA Non altern 1 Non altern 2 Wi 3 5 3 2 Method and parameter acceptance conditions There are several types of condition The conditions concerning the types of line to be discretised are given in the table below Method parameters Entrance exit Edges Regular distribution x x Arithmetic progression x x Geometric progression x x Number of meshes x x Free method x In brief it is not possible to mesh entrances exits freely as geometric similitude is required and this does not necessarily exist Method parameters Free Prescribed points Prescribed ridges Regular distribution xX Arithmetic progression Geometric progression Number of meshes xx x x Free method It is clear that purely geometric meshing regular distributi
15. ion itself is done in the ZONE mode described in the following section The functions existing in version VIP1 of the MATISSE code did not enable the user to perform all the operations required to construct polygonal sequences interactively New functions have been developed for this purpose extending the possibilities offered to the user The purpose of these options is to provide the user with help in constructing polygons to support the zones to be adjusted in order to ensure sufficient topological consistency of the data created in this way This topological consistency will be checked during later zone construction in ZONE mode and when entering DEM mode To do this MATISSE V2 now allows a single point to be shared by several lines The new functions are as follows extension of the line creation function a function for extending a line a two line intersection fusion function Depending on the situation this function enables the user to define the points of intersection of two lines which will then be shared by these lines or to modify the lines to ensure that common ridges are unique 3 2 1 Line creation extension function This function Create line is used to define a new line based on points belonging to geometric lines 1 bathymetric points 2 graphically created points 3 points to be inserted in a ridge of an existing line 4 Point in a line 1 Point 2 O End point x Calculated interse
16. itudinal direction eee Edge 1 Adjustment or longitudinal Entrance direction 3 3 2 Zone construction function The user constructs a zone Create zone menu by successively indicating sub sequences of geometric lines defining a closed polygon A zone is created in the interface by selecting an initial point and then a ridge attached to this point thus determining a direction of movement If a point of intersection is encountered during this selection process the user then indicates the path to be followed right or left in order to remove any ambiguity and continue choosing ridges until a closed curve is obtained see figure 1 below To facilitate this selection the Backspace key is used to go back one or more stages in the selection returning to the intersection where the previous choice was made following diagram figure 2 Figure 1 Figure 2 During these operations any entity clicked on is highlighted to confirm the selection The user validates the construction with the middle button of the mouse Zones can be named using a character chain by the user The name must be unique By default zones are numbered implicitly with a strictly positive unique number EDF R amp D MATISSE V2 0 LNHE Principle note and user document Page 10 19 The user must then indicate the four corner points define corners button in trigonometric order and may assign a colour These attributes may be modified by the zon
17. n the software Adjustable zones are then built in a new mode ZONE mode Each zone adjoins the geometric supports defined in GEOMETRIC LINES mode To ensure sufficient topological consistency the distribution of zones in the domain to be adjusted is validated by additional checking procedures before entering DEM mode this is done automatically by the software and in a manner that is transparent to the user In DEM mode the step size map criteria is defined by the user independently of whether adjustable zones exist or not These zones now referred to as adjustable are then proposed to the user in MESH mode so that the grid can be meshed in regular mode if he wishes The user begins by successively meshing all or part of the adjustable zones The adapted grid will be last stage of the grid creation process It enables all the regular grids to be assembled with the adapted grid created for the rest of the domain in order to obtain a single grid as in version 1 1 The software also monitors topological and geometric consistency when switching between the various modes of the software EDF R amp D MATISSE V2 0 LNHE Principle note and user document Page 5 19 3 Mode by Mode Description 3 1 BATHYMETRY mode No modification has been made in this mode in relation to the regular grid 3 2 GEOMETRIC LINES mode In this mode a set of closed polygonal sequences is built to support the zones to be used for the regular grid Zone definit
18. nts 1 Introduction sesesesosososososososorosseseseseseseseseseseseseseseseseseseseseseseserocerercrororocoroeocoeoeoeeeeesesesese 1 1 Purpose of document rererere ei e dade E EE E r i aE 4 1 2 Purpose of version 2 0 of MATIS S Ess tistennieh toee ie e aa eE a E 4 1 3 Terminology 2 522 chia asd teeta ated laches dae bse hates eae 4 2 General user procedure socsicceccsnessccsciouvecscoscessecdesoetenveseuaserenvevansegesuevesouascvonvesionescesdedouvsee 3 Mode by Mode Description ssesssecesocesooessocesscessccesocesooecsocesscessscessocssocssoosssossssecssosesose D 3 1 BATHY METRY fode ais cccecsseccevs deut osloetcesd a E e a e E a a aS 5 3 2 GEOMETRIC LINES MOLE aoi esaet eo ot pcactvehata cette cont EE E E S Ea 5 3 2 1 Line creation extension fUnctionn c cccccccccccccscecscessceescesscesscesecesecesecssecssecseeeseeeseeeseeseeeseenaees 5 3 2 2 Intersection fusion fUNCTION renni e a e aa a aae o i ioia 7 3 3 ZONE ModE ents easa ea E rnae S aea S aea E AaS o SE NE N EEE Da a 8 Ide NOUON OF Zon s a a REE EA SRT EE SEEN 8 3 3 2 LONE construction JUNCTION 2 002 css esncsensetiesssseredsctansdssnasdacisatuastisagsoeedceadcssssracdocksosbestisnseasedss 9 3 3 3 Zone edition and manipulation functions ccccecccescese cess cess cnseeeeeseeeeseeeeeeeeesecesecaeeaeenae 10 3 34 Geometric QUAIL FUNCTION 3 200s cvssisecesictsetcasiees sussveceanesaneasessese EEE E EEEE EEEE 10 3 4 DEM Mode arein s E
19. on Compute mesh option which will create the final assembled grid 3 6 BOUNDARY CONDITIONS mode The BOUNDARY CONDITIONS mode is not modified The grid on which these characteristics are defined is the final assembled grid constructed from the regular zones and the adapted part 4 Conclusion This document is the documentation for version 2 0 of Matisse Its aim is to list the new functions integrated into version 1 1 enabling users to generate regular grids EDF R amp D MATISSE V2 0 LNHE Principle note and user document Page 19 19 REFERENCES 1 P PRYGODA MAILLEUR MATISSE User manual version 1 0 EDF report HE 45 22 Avril 1997
20. on arithmetic or geometric progressions is not possible if points or edges are prescribed adjacent zones unless such peaks are corner points EDF R amp D MATISSE V2 0 LNHE Principle note and user document Page 16 19 The two non geometric methods can accept prescribed points or ridges which is particularly useful in the case of adjacent zones Daci AE ey ZN ANS IN W WN SEN SANG WR ig Hh pgs WS PNA WINK LED gt i Kiss US 2 meen PRs ANY NAA NENA ip ate Pes NS aoe ve Curved mesh no 1 was calculated before no 2 As the two zones are contiguous the transverses must be continued from zone to zone 2 along the boundary line This is how connected transverses can he used SAA TAN RAIA SN SD DN CON N The conditions concerning the parameters are as follows Method parameters No meshes Step Bias Regular distribution gt 0 Arithmetic progression gt 0 Geometric progression gt 0 gt 0 Number of meshes gt f no constrained ridges no hard points gt 0 Free method 0 lt step lt min length edgel edge2 In the case of the so called free method the progression step must be less than the length of the edge in fact than the length of the shorter edge These constraints are managed via the interface which allows or prohibits the various options and pres
21. ring which a number of geometric verification operations are carried out The first level geometric audit function checks only intersections between the selected zone and the other zones as well as with lines defined as contours Inclusions are not checked as the contours inside and or outside have not all necessarily been defined If an intersection problem is detected the software displays the segments concerned in red 3 4 DEM mode 3 4 1 Topological tests Zone validity is also checked on entering DEM mode However these checks are more thorough second level than those performed or proposed at present in ZONE mode first level They can be used to validate completely the definition of zones to be adjusted in the domain If the verification fails access to DEM mode and consequently to grid construction functions in MES mode is not denied The user can choose to return to the ZONE or GEOMETRIC LINES modes and possibly modify the zones concerned or continue working In the second case non validated zones will not be proposed later for a regular grid Zones that pass these tests will be considered to be adjustable but will not necessarily be adjusted meshed this is a final choice made by the user in MESH mode These tests check in succession that EDF R amp D MATISSE V2 0 LNHE Principle note and user document Page 11 19 each adjustable zone is not self intersecting As it is compulsory to pass through the ZONE mod
22. ted above the following zones will be invalidated Z1 Z10 outside the domain Z2 Z6 Z12 Z13 intersections Z5 contains a hole 2Z3 is contained in a hole while the following will be validated ZA Z9 Z11 Z14 Z15 Remark Z7 or Z8 if Z8 or Z7 is not chosen by the user in MESH mode At this stage of the operations the two zones will be considered to be valid It will be noted that in DEM mode the adjustable zones are displayed in a semi transparent colour but they cannot be modified 3 4 2 Other functions The DEM mode is not changed for the other actions and the functions available in the previous version of MATISSE V1P1 are still possible for all data As the zones are simply adjustable at this stage the possibility of defining criteria for peaks and lines that may be inside or outside these zones is kept The user must ensure that the discretisation step on the boundaries of the regular zones obtained when choosing the adjustment method and its parameters is consistent with the step size map Remark points defined as being prescribed in this mode and which will be included in the regular zones are transferred to the final grid However in this case the regular grid will be modified locally 3 5 MESH mode 3 5 1 Meshing procedure It is in this mode that the user chooses the meshing methods and zones to be adjusted Not all adjustable zones defined in ZONE mode will need to be adjusted This is
23. to be added to prescribed peaks are placed on non constrained ridges This is recommended for entrances exits The choices are not completely free and are quickly constrained during construction of the grid Below is a description of the possibilities of the various methods depending on the objects possible parameters constraints on these parameters etc The options chosen by the user are stored and associated with the zones and then proposed again by default if the user asks to re mesh the zone later 3 5 3 1 Parameters for each method The parameters linked with the choice of methods are as follows for each entrance exit and edgel edge2 pair Method parameters No meshes Step Bias Justification Regular distribution X Arithmetic progression x Geometric progression x x Number of meshes x Free method X The step is the progression step for the so called free method in which the user tries to place a transverse every metre step In this case the number of meshes obtained is not known exactly beforehand It depends to a great extent on the geometry The bias is the ratio between the largest and smallest meshes for the geometric progression method the number of meshes is insufficient in this case The justification centred inverted centred left and right indicates the point of refinement of the geometric and arithmetic progression methods Centred and inverted centred geometr
24. user can modify the adjustment parameters associated with this zone including the corner points Mesh Zone window 3 5 3 Regular grid options Several regular grid options are offered to the user in Meshing Mesh Zone mode At this stage certain checks are performed via the interface in order to make a coherent request to the regular grid calculation module Grids are chosen on each side entrance exit and edges A zone is thus defined by an association of method and parameters for the entrance exit pair and another for the two edges To date the types of regular grid are as follows Mathematical discretisations linear distributions with arithmetic or geometric progressions They are particularly suited for entrances exits and for fairly simple edges These mathematical discretisations may be accompanied by parameters bias number of meshes and type of justification centred inverted centred left right Free discretisation i e by trying to place discretisation points as well as possible depending on the geometry It is not the number of points that is chosen but the progression step for placing the meshes This must be reserved for the edges which must have a direction of propagation and shape similitude case of river banks EDF R amp D MATISSE V2 0 LNHE Principle note and user document Page 14 19 Discretisation into a number of meshes by prescribing hard points and constraint ridges Points
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