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# 2D Grid examples | ||
# =============== | ||
# | ||
using Triangulate, ExtendableGrids, SimplexGridFactory | ||
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# ## Rectangle | ||
function rectangle() | ||
X=collect(0:0.05:1) | ||
Y=collect(0:0.05:1) | ||
simplexgrid(X,X) | ||
X = collect(0:0.05:1) | ||
Y = collect(0:0.05:1) | ||
simplexgrid(X, X) | ||
end | ||
# ![](rectangle.svg) | ||
# | ||
# ## Rectangle with local refinement | ||
# | ||
function rectangle_localref() | ||
hmin=0.01 | ||
hmax=0.1 | ||
XLeft=geomspace(0.0,0.5,hmax,hmin) | ||
XRight=geomspace(0.5,1.0,hmin,hmax) | ||
X=glue(XLeft, XRight) | ||
simplexgrid(X,X) | ||
hmin = 0.01 | ||
hmax = 0.1 | ||
XLeft = geomspace(0.0, 0.5, hmax, hmin) | ||
XRight = geomspace(0.5, 1.0, hmin, hmax) | ||
X = glue(XLeft, XRight) | ||
simplexgrid(X, X) | ||
end | ||
# ![](rectangle_localref.svg) | ||
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# | ||
# ## Rectangle with multiple regions | ||
# | ||
function rectangle_multiregion() | ||
X=collect(0:0.05:1) | ||
Y=collect(0:0.05:1) | ||
grid=simplexgrid(X,Y) | ||
cellmask!(grid,[0.0,0.0],[1.0,0.5],3) | ||
bfacemask!(grid,[0.0,0.0],[0.0,0.5],5) | ||
bfacemask!(grid,[1.0,0.0],[1.0,0.5],6) | ||
bfacemask!(grid,[0.0,0.5],[1.0,0.5],7) | ||
X = collect(0:0.05:1) | ||
Y = collect(0:0.05:1) | ||
grid = simplexgrid(X, Y) | ||
cellmask!(grid, [0.0, 0.0], [1.0, 0.5], 3) | ||
bfacemask!(grid, [0.0, 0.0], [0.0, 0.5], 5) | ||
bfacemask!(grid, [1.0, 0.0], [1.0, 0.5], 6) | ||
bfacemask!(grid, [0.0, 0.5], [1.0, 0.5], 7) | ||
end | ||
# ![](rectangle_multiregion.svg) | ||
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# | ||
# ## Subgrid from rectangle | ||
# | ||
function rectangle_subgrid() | ||
X=collect(0:0.05:1) | ||
Y=collect(0:0.05:1) | ||
grid=simplexgrid(X,Y) | ||
rect!(grid,[0.25,0.25],[0.75,0.75];region=2, bregion=5) | ||
subgrid(grid,[1]) | ||
X = collect(0:0.05:1) | ||
Y = collect(0:0.05:1) | ||
grid = simplexgrid(X, Y) | ||
rect!(grid, [0.25, 0.25], [0.75, 0.75]; region = 2, bregion = 5) | ||
subgrid(grid, [1]) | ||
end | ||
# ![](rectangle_subgrid.svg) | ||
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# | ||
# ## Rect2d with bregion function | ||
# | ||
# Here, we use function as bregion parameter - this allows to | ||
# have no bfaces at the interface between the two rects. | ||
function rect2d_bregion_function() | ||
X=collect(0:0.5:10) | ||
Y=collect(0:0.5:10) | ||
grid=simplexgrid(X,Y) | ||
rect!(grid,[5,4],[9,6];region=2, bregions=[5,5,5,5]) | ||
X = collect(0:0.5:10) | ||
Y = collect(0:0.5:10) | ||
grid = simplexgrid(X, Y) | ||
rect!(grid, [5, 4], [9, 6]; region = 2, bregions = [5, 5, 5, 5]) | ||
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rect!(grid, [4, 2], [5, 8]; region = 2, bregion = cur -> cur == 5 ? 0 : 8) | ||
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rect!(grid,[4,2],[5,8];region=2, bregion= cur-> cur == 5 ? 0 : 8 ) | ||
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subgrid(grid,[2]) | ||
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subgrid(grid, [2]) | ||
end | ||
# ![](rect2d_bregion_function.svg) | ||
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function sorted_subgrid(; maxvolume=0.01) | ||
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builder=SimplexGridBuilder(Generator=Triangulate) | ||
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p1=point!(builder,0,0) | ||
p2=point!(builder,1,0) | ||
p3=point!(builder,1,2) | ||
p4=point!(builder,0,1) | ||
p5=point!(builder,-1,2) | ||
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facetregion!(builder,1) | ||
facet!(builder,p1,p2) | ||
facetregion!(builder,2) | ||
facet!(builder,p2,p3) | ||
facetregion!(builder,3) | ||
facet!(builder,p3,p4) | ||
facetregion!(builder,4) | ||
facet!(builder,p4,p5) | ||
facetregion!(builder,5) | ||
facet!(builder,p5,p1) | ||
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g=simplexgrid(builder;maxvolume) | ||
sg=subgrid(g,[2],boundary=true,transform=(a,b)->a[1]=b[2]) | ||
f=map( (x,y)->sin(3x)*cos(3y),g) | ||
sf=view(f,sg) | ||
g,sg,sf | ||
function sorted_subgrid(; maxvolume = 0.01) | ||
builder = SimplexGridBuilder(; Generator = Triangulate) | ||
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p1 = point!(builder, 0, 0) | ||
p2 = point!(builder, 1, 0) | ||
p3 = point!(builder, 1, 2) | ||
p4 = point!(builder, 0, 1) | ||
p5 = point!(builder, -1, 2) | ||
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facetregion!(builder, 1) | ||
facet!(builder, p1, p2) | ||
facetregion!(builder, 2) | ||
facet!(builder, p2, p3) | ||
facetregion!(builder, 3) | ||
facet!(builder, p3, p4) | ||
facetregion!(builder, 4) | ||
facet!(builder, p4, p5) | ||
facetregion!(builder, 5) | ||
facet!(builder, p5, p1) | ||
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g = simplexgrid(builder; maxvolume) | ||
sg = subgrid(g, [2]; boundary = true, transform = (a, b) -> a[1] = b[2]) | ||
f = map((x, y) -> sin(3x) * cos(3y), g) | ||
sf = view(f, sg) | ||
g, sg, sf | ||
end | ||
# ![](sorted_subgrid.svg) | ||
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using Test | ||
function runtests() | ||
@test numbers_match(rectangle(), 441, 800, 80) | ||
@test numbers_match(rectangle_localref(), 729, 1352, 104) | ||
@test numbers_match(rectangle_multiregion(), 441, 800, 100) | ||
@test numbers_match(rectangle_subgrid(), 360, 600, 120) | ||
@test numbers_match(rect2d_bregion_function(), 79, 112, 44) | ||
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g, sg, sf = sorted_subgrid() | ||
@test numbers_match(g, 187, 306, 66) | ||
@test numbers_match(sg, 17, 16, 0) | ||
@test issorted(view(sg[Coordinates], 1, :)) | ||
end |
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Original file line number | Diff line number | Diff line change |
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[deps] | ||
CairoMakie = "13f3f980-e62b-5c42-98c6-ff1f3baf88f0" | ||
ExampleJuggler = "3bbe58f8-ed81-4c4e-a134-03e85fcf4a1a" | ||
Gmsh = "705231aa-382f-11e9-3f0c-b7cb4346fdeb" | ||
GridVisualize = "5eed8a63-0fb0-45eb-886d-8d5a387d12b8" | ||
SHA = "ea8e919c-243c-51af-8825-aaa63cd721ce" | ||
SimplexGridFactory = "57bfcd06-606e-45d6-baf4-4ba06da0efd5" | ||
StatsBase = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91" | ||
Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40" | ||
Triangulate = "f7e6ffb2-c36d-4f8f-a77e-16e897189344" | ||
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[compat] | ||
ExampleJuggler = "0.4" |
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