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Hex1.m
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Hex1.m
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classdef Hex1 < matlab.mixin.Copyable
%Hex1 P1 Hexahedral structured mesh rectangle
% o = Hex1(x0,x1,nxe,y0,y1,nye,z0,z1,nze)
properties
Connectivity
Points
Faces
XC
YC
ZC
edges
Element
ElementType
HangNodes
nnod
nele
end
properties (Hidden)
end
properties (Access = private)
x0
x1
y0
y1
z0
z1
nxe
nye
nze
nx
ny
nz
NeighborsC % Previously computed
end
methods
function o = Hex1(x0,x1,nxe,y0,y1,nye,z0,z1,nze)
% o = Hex1Mesh(x0,x1,nxe,y0,y1,nye,z0,z1,nze)
o.ElementType = 'Hex1Mesh';
o.nele = nxe*nye*nze;
if o.nele > 100000
btn = questdlg(['Warning, ',num2str(o.nele),' elements are about to be created. Do you wish to continue?'], ...
'¡Ay! ¡Mucho elementos!!','Si','No, no, nooo', 'No, no, nooo');
switch btn
case 'Si'
disp('Creating huge amounts of elements...')
case 'No, no, nooo'
error('No mesh is created!')
end
end
o.x0 = x0; o.x1 = x1;
o.y0 = y0; o.y1 = y1;
o.z0 = z0; o.z1 = z1;
x = linspace(x0,x1,nxe+1);
y = linspace(y0,y1,nye+1);
z = linspace(z0,z1,nze+1);
[MX, MY, MZ] = meshgrid(x,y,z);
o.Points = [MX(:),MY(:),MZ(:)];
o.XC = MX(:); o.YC = MY(:); o.ZC = MZ(:);
nx = nxe+1;
ny = nye+1;
nz = nze+1;
o.nxe = nxe;
o.nye = nye;
o.nze = nze;
o.nele = nxe*nye*nze;
nodes = zeros(o.nele, 8);
c = 1;
iel = 1;
for k = 1:nz
for j = 1:nx
for i = 1:ny
if i ~= ny && j ~=nx && k ~= nz
nodes(iel,:) = [c,c+1,c+ny+1,c+ny,c+nx*ny,c+nx*ny+ny,c+nx*ny+ny+1,c+nx*ny+1];
iel = iel + 1;
end
c = c+1;
end
end
end
o.nx = nx;
o.ny = ny;
o.nz = nz;
Q = zeros(o.nele*6,4);
edges1 = zeros(o.nele*12,2);
o.Element(o.nele).faces = [];
o.Element(o.nele).edges = [];
I = [1 2 4 3 5 8 6 7];
nodes = nodes(:,I);
lof = 1; loe = 1;
for iel = 1:o.nele
upf = lof+5;
upe = loe+11;
%Faces
iface = [nodes(iel,[1,2,4,3]);...
nodes(iel,[5,6,8,7]);...
nodes(iel,[1,5,6,2]);...
nodes(iel,[2,6,8,4]);...
nodes(iel,[4,8,7,3]);...
nodes(iel,[3,7,5,1])];
Q(lof:upf,:) = iface;
o.Element(iel).faces = iface;
%edges
n = nodes(iel,:);
iedges = [n([1,2]);...
n([2,4]);...
n([4,3]);...
n([3,1]);...
n([1,5]);...
n([3,7]);...
n([4,8]);...
n([2,6]);...
n([6,5]);...
n([5,7]);...
n([7,8]);...
n([8,6])];
edges1(loe:upe,:) = iedges;
o.Element(iel).edges = iedges;
%counter
lof = upf +1;
loe = upe +1;
end
o.Connectivity = nodes;
o.Faces = Q;
o.nnod = length(o.XC);
o.edges = edges1;
o.HangNodes = [];
o.Element(1).HangNodes = [];
end
[neighs,o] = Neighbors(o,varargin);
[HangNodes, HangNodesM, o] = RefineLocal(o, ele);
h = vizMesh(o,varargin);
[fi, fix, fiy, fiz, vol] = baseFun(o,iel,X);
[BoundVerts, BoundEle] = boundaryInds(o, varargin);
end
end