COMSOL Multiphysics™

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elcplproj All map types available for elcplextr can be used also in projection coupling variables. The common combination of a unit source map and a linear destination map is not very useful, though. Instead, there is a map type projection which specifies srcdim+1 vertices in the source geometry and srcdim vertices in the destination. The basis defined by vectors from the first source vertex to each of the remaining vertices is mapped onto a right-handed orthogonal system with unit axes. The basis described by the destination vertices is then mapped onto the first srcdim-1 dimensions of the same orthogonal basis. This means that the direction of integration is effectively from the first source vertex to the last. In addition to the fields present in the elcplextr element, the elcplproj requires an integration order for the line integrals evaluated for each destination point. The iorder field specifies the order of polynomials that should be exactly integrated. Cautionary Projection coupling is only implemented for simplex meshes. When finding integration limits, the elcplproj element works directly on the basic polyhedral mesh. Therefore, results can be inaccurate if the mesh does not properly resolve the geometry. Parameter or time dependency in the source transformation is not properly detected by the solvers, which means that the source transformation will not be updated between parameter or time steps in that case. Solution dependencies in the transformation are properly detected, but do not give any Jacobian contributions from the transformation. The automatic detection of nonlinear and time or parameter dependent problems does not work properly in that all problems containing projection coupling variables are considered to be nonlinear and time dependent. Examples Project the diagonal cross section distance on the left and bottom edges of a square. clear fem fem.geom = square2; fem.mesh = meshinit(fem); fem.elem = {}; el.elem = 'elcplproj'; el.g = {'1'}; el.var = {'d','d'}; clear map1; map1.type = 'projection'; map1.sg = '1'; map1.sv = {'1','2','3'}; 64 | CHAPTER 1: COMMAND REFERENCE
elcplproj map1.dg = '1'; map1.dv = {'1','2'}; clear map2; map2.type = 'projection'; map2.sg = '1'; map2.sv = {'1','4','3'}; map2.dg = '1'; map2.dv = {'1','4'}; el.map = {map1 map2}; clear src; src.ind = {{'1'}}; src.expr = {{'1'},{'1'}}; src.iorder = {{'1'},{'1'}}; src.map = {{'1'},{'2'}}; el.src{1} = {{},{},src}; clear dst; dst.ind = {{'1'},{'4'}}; dst.map = {{'1',{}},{{},'2'}}; el.geomdim{1} = {{},dst,{}}; fem.elem = [fem.elem {el}]; fem.xmesh = meshextend(fem); postint(fem,'d/sqrt(2)','edim',1,'dl',[1 4]) See Also elempty, elcplextr 65
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COMSOL Multiphysics COMMAND REFERE
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CONTENTS Chapter 1: Command Referen
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femplot . . . . . . . . . . . . . .
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postarrow . . . . . . . . . . . . .
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BSplineSurf . . . . . . . . . . . .
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1 Command Reference 1
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elpconstr on page 99 elplastic on p
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mirror on page 301 move on page 302
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Commands Grouped by Function User I
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Geometry Objects FUNCTION block2 bl
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Mesh Functions FUNCTION femmesh flc
Page 23 and 24: Postprocessing Functions FUNCTION m
Page 25 and 26: FUNCTION elmapextr elmesh elode elp
Page 27 and 28: FUNCTION PURPOSE REPLACEMENT flsdt
Page 29 and 30: In FEMLAB 3.0, all FEMLAB 2.3 Eleme
Page 31 and 32: adaption TABLE 1-1: VALID PROPERTY/
Page 33 and 34: adaption Convergence Control No mor
Page 35 and 36: adaption fem.bnd.ind = [1 1 2 2 2 2
Page 37 and 38: adaption The Coefficient residual c
Page 39 and 40: assemble Purpose assemble Assemble
Page 41 and 42: assemble matrix contribution (from
Page 43 and 44: assemble In FEMLAB 2.3, the size of
Page 45 and 46: asseminit TABLE 1-3: VALID PROPERTY
Page 47 and 48: lock2, block3 Purpose block2, block
Page 49 and 50: chamfer Purpose chamfer Create flat
Page 51 and 52: circ1, circ2 Purpose circ1, circ2 C
Page 53 and 54: comsol Purpose comsol Start the COM
Page 55 and 56: cone2, cone3 Cone objects have the
Page 57 and 58: curve2, curve3 The coercion functio
Page 59 and 60: cylinder2, cylinder3 TABLE 1-13: CY
Page 61 and 62: econe2, econe3 Purpose econe2, econ
Page 63 and 64: elcconstr Purpose elcconstr Define
Page 65 and 66: elcontact Purpose elcontact Define
Page 67 and 68: elcontact See Also elmapextr 57
Page 69 and 70: elcplextr transformation is used as
Page 71 and 72: elcplgenint Purpose elcplgenint Def
Page 73: elcplproj Purpose elcplproj Define
Page 77 and 78: elcplscalar el.elem = 'elcplscalar'
Page 79 and 80: elempty Purpose elempty Define some
Page 81 and 82: elempty clear el; el.elem = 'elempt
Page 83 and 84: elepspec Examples Given a single-ge
Page 85 and 86: eleqc Make sure that the integratio
Page 87 and 88: eleqw fem.elem = [fem.elem {el}]; f
Page 89 and 90: elgeom Purpose elgeom Define geomet
Page 91 and 92: elgpspec elgpspec can be added in t
Page 93 and 94: elinline el.dexpr = {'1/(2*sqrt(a)+
Page 95 and 96: elinterp el.elem = 'elinterp'; el.n
Page 97 and 98: elirradiation Purpose elirradiation
Page 99 and 100: ellip1, ellip2 Purpose ellip1, elli
Page 101 and 102: ellipsoid2, ellipsoid3 Purpose elli
Page 103 and 104: elmapextr Purpose elmapextr Define
Page 105 and 106: elmapextr fem.sol = femeig(fem,'nei
Page 107 and 108: elode Purpose elode Define global s
Page 109 and 110: elpconstr Purpose elpconstr Define
Page 111 and 112: elplastic Purpose elplastic Define
Page 113 and 114: elpric Purpose elpric Define variab
Page 115 and 116: elsconstr vector. The normal compon
Page 117 and 118: elshape TABLE 1-20: BASIC MESH ELEM
Page 119 and 120: elshell_arg2 Purpose elshell_arg2 C
Page 121 and 122: elshell_arg2 Postprocessing variabl
Page 123 and 124: elvar Purpose elvar Define expressi
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extrude Purpose extrude Extrude a 2
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face3 Purpose face3 Create 3D surfa
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femdiff Purpose femdiff Symbolicall
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femeig Purpose femeig Solve eigenva
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femeig where Ω is the L-shaped mem
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femlin KN T N 0 U - U 0 Λ = L M ,
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femlin nullfun and symmetric can be
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femmesh Purpose femmesh Create a me
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femmesh Tetrahedral element (tet):
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femmesh FACE (EDGE NODES) FACE MID
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femnlin Purpose femnlin Solve nonli
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femnlin components fixed, the augme
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femnlin The property Rstep sets a r
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femplot PROPERTY VALUE DEFAULT DESC
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femsim The names of the input varia
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femsim Most of the FEMLAB 2.3 data
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femsol Example Create a solution ob
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femsolver TABLE 1-30: COMMON SOLVER
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femsolver PROBE PLOT PARAMETERS Pro
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femsolver Equations” on page 440
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femsolver TABLE 1-33: DIRECT LINEAR
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femsolver TABLE 1-34: ITERATIVE LIN
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femsolver scalar Shapechg, and the
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femsolver TABLE 1-36: OBSOLETE PROP
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femstate with the property State=on
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femstatic dependent and if these ma
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femtime Purpose femtime Solve time-
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femtime initial values are consiste
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femtime Cautionary In structural me
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femwave and then transforms the PDE
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femwave Weak coefficients are cell
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fillet Purpose fillet Create circul
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flcontour2mesh Purpose flcontour2me
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flform Purpose flform Convert betwe
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flim2curve Purpose flim2curve Creat
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flload Purpose flload Load a COMSOL
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flmesh2spline figure meshplot(msh)
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flnull Purpose flnull Compute null
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flreport Purpose flreport Globally
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flsmhs, flsmsign, fldsmhs, fldsmsig
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gencyl2, gencyl3 s2 = gencyl2(...)
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geom0, geom1, geom2, geom3 edge is
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geom0, geom1, geom2, geom3 See Also
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geomanalyze % Circle moving through
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geomarrayr The input argument g1, g
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geomcomp Purpose geomcomp Analyze g
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geomcsg g = geomcsg(sl,pl,...) deco
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geomcsg TABLE 1-57: GEOMETRY MODEL
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geomdel Purpose geomdel Delete poin
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geomedit Purpose geomedit Edit geom
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geomfile Purpose geomfile Geometry
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geomfile clear fem fem.geom = 'card
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geomgetwrkpln respect to the face.
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geomgroup Examples See Also [g pair
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geomimport TABLE 1-64: VALID PROPER
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geominfo Out specifies the geometry
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geominfo DD = reshape(ff2{m}(im1,im
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geominfo The following commands, se
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geomobject Purpose geomobject Creat
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geomplot design philosophy has been
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geomplot 2D Example Start by creati
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geomposition Purpose geomposition P
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geomspline p agree to within 1000*e
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getparts Purpose getparts Extract p
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line1, line2 Purpose line1, line2 C
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loft gl{2} and so on. It is require
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loft See Also extrude, geomgetwrkpl
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mesh2geom fem.mesh=meshinit(rect2);
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meshcaseadd The mesh case generatio
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meshdel Purpose meshdel Delete elem
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meshembed Purpose meshembed Embed a
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meshenrich TABLE 1-4: VALID PROPERT
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meshexport Purpose meshexport Expor
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meshextrude Purpose meshextrude Ext
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meshimport Purpose meshimport Impor
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meshimport sum of the coordinates o
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meshinit TABLE 1-8: VALID PROPERTY/
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meshinit TABLE 1-8: VALID PROPERTY/
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meshinit TABLE 1-10: MESH PARAMETER
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meshinit The properties xscale, ysc
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meshintegrate Purpose meshintegrate
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meshmap Purpose meshmap Create mapp
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meshmap HAUTO SCALE FACTOR 3 0.55 4
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meshplot Purpose meshplot Plot mesh
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meshplot TABLE 1-11: VALID PROPERTY
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meshplot The bound property group c
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meshplot See Also femmesh, geomplot
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meshqual Purpose meshqual Mesh qual
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meshrefine Purpose meshrefine Refin
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meshrevolve Purpose meshrevolve Rev
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meshsmooth Purpose meshsmooth Smoot
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meshsweep Purpose meshsweep Create
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meshsweep • There can only be one
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mirror Purpose mirror Reflect geome
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multiphysics Purpose multiphysics M
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multiphysics The table below descri
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multiphysics which domain group in
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multiphysics Elements of fem1.***.(
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multiphysics Fem.***.init is constr
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pde2geom Purpose pde2geom Convert a
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point1, point2, point3 Purpose poin
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poisson Purpose poisson Fast soluti
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poly1, poly2 Purpose poly1, poly2 C
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postarrow postarrow Purpose Shortha
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postcont postcont Purpose Shorthand
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postcoord fem.xmesh = meshextend(fe
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postcrossplot points for the differ
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postcrossplot TABLE 1-24: VALID PRO
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postcrossplot postcrossplot(fem,2,6
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posteval Purpose posteval Evaluate
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posteval Solnum is provided, the so
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postflow postflow Purpose Shorthand
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postglobaleval % Evaluate 'r+f' and
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postglobalplot If Outtype is 'handl
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postint Purpose postint Integrate e
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postinterp Purpose postinterp Evalu
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postinterp The property Phase is de
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postlin postlin Purpose Shorthand c
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postmin Purpose postmin Compute min
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postmovie TABLE 1-30: VALID PROPERT
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postplot TABLE 1-31: VALID PROPERTY
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postplot associated to each point o
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postplot fem.equ.c = 1; fem.equ.f =
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postprincbnd postprincbnd Purpose S
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postsurf postsurf Purpose Shorthand
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pyramid2, pyramid3 Purpose pyramid2
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ect1, rect2 Purpose rect1, rect2 Cr
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evolve Purpose revolve Revolve a 2D
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otate e1 = ellip2(0,0,1,3); e2 = ro
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sharg_2_5 Purpose sharg_2_5 Create
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shcurl Purpose shcurl Create a vect
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shdisc Purpose shdisc Create a disc
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shgp Purpose shgp Create a Gauss-po
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shlag Purpose shlag Create a Lagran
Page 401 and 402:
solid0, solid1, solid2, solid3 The
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sphere3, sphere2 the evaluation con
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square1, square2 Purpose square1, s
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tangent Purpose tangent Create a ta
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tetrahedron2, tetrahedron3 Purpose
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torus2, torus3 TABLE 1-49: TORUS OB
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xmeshinfo is requested for. The pro
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xmeshinfo TABLE 1-52: NODES STRUCT
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xmeshinfo dofs.coords(:,30) % alter
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2 Diagnostics This chapter contains
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TABLE 2-2: GEOMETRY MODELING ERROR
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6000-6999 Assembly and Extended Mes
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TABLE 2-4: ASSEMBLY AND EXTENDED ME
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TABLE 2-5: SOLVER ERROR MESSAGES ER
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9000-9999 General Errors TABLE 2-6:
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Solver Error Messages These error m
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TABLE 2-7: SOLVER ERROR MESSAGES IN
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3 The COMSOL Multiphysics Files Thi
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2 m1 ######## Types 1 # number of t
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To load and save COMSOL Multiphysic
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Attribute Attribute Supported Versi
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BezierMfd BezierMfd Supported Versi
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BezierTri BezierTri Supported Versi
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BSplineMfd BSplineMfd Supported Ver
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BSplineSurf BSplineSurf Supported V
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Ellipse 0 # reverse 2 0 # major axi
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Geom1 Geom1 Supported Versions 1 Su
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Geom2 0 0 1 1 2.2999999999999998 1
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GeomFile GeomFile Supported Version
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Mesh Mesh Supported Versions 1 Subt
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MeshCurve MeshCurve Supported Versi
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Plane Plane Supported Versions 1 Su
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Serializable Serializable Supported
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Transform Transform Supported Versi
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VectorInt Supported Versions Vector
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Examples To illustrate the use of t
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410 506 409 528 762 760 831 859 525
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7 ... 5 5 5 224 # number of up/down
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# Faces # up down mfd tol 0 0 1 NAN
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INDEX 1D geometry object 196 3D mes
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flmesh2spline 186 flngdof 188, 191
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second fundamental matrices 226 ser
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