lshape1.m

在有限元计算中作热交换分析的算例

kappa=[0.2 0; 0 0.2]; % conductivity matrix
Q=0.01100; % uniform heat source
num_integ_pts=1; % 1-point quadrature
[fens,gcells] = targe2_mesher({... 
        ['curve 1 line 20 0 48 0'],...
        ['curve 2 line 48 0 48 48'],...
        ['curve 3 line 48 48 0 48'],...
        ['curve 4 line 0 48 0 13'],...
        ['curve 5 line 0 13 20 13'],...
        ['curve 6 line 20 13 20 0'],...
        'subregion 1  property 1 boundary 1 2 3 4 5 6',...
        ['m-ctl-point constant 5.5']
        }, 1.0);
prop=property_diffusion(struct('conductivity',kappa,'source',Q));
mater=mater_diffusion (struct('property',prop));
feb = feblock_diffusion (struct ('mater',mater,...
    'gcells',gcells,...
    'integration_rule',tri_rule(num_integ_pts)));
geom = field(struct('name',['geom'], 'dim', 2, 'fens',fens));
theta=field(struct('name',['theta'], 'dim', 1, 'nfens',...
    get(geom,'nfens')));
fenids=[fenode_select(fens,struct('box',[48 48 0 48],...
    'inflate', 0.01)),...
    fenode_select(fens,struct('box',[0 48 48 48],...
    'inflate', 0.01))];
prescribed=ones(length(fenids),1);
comp=[];
val=zeros(length(fenids),1);
theta = set_ebc(theta, fenids, prescribed, comp, val);
theta = apply_ebc (theta);
theta = numbereqns (theta);
K = start (sparse_sysmat, get(theta, 'neqns'));
K = assemble (K, conductivity(feb, geom, theta));
F = start (sysvec, get(theta, 'neqns'));
F = assemble (F, source_loads(feb, geom, theta));
theta = scatter_sysvec(theta, get(K,'mat')\get(F,'vec'));

% Plot
gv=graphic_viewer;
gv=reset (gv,[]);
T=get(theta,'values');
dcm=data_colormap(struct('range',[min(T),max(T)],'colormap',jet));
colorfield=field(struct ('name', ['colorfield'], 'data',...
    map_data(dcm, T)));
geomT=field(struct ('name', ['geomT'], ...
    'data',[get(geom,'values'), get(theta,'values')]));
for i=1:length (gcells)
    draw(gcells(i), gv, struct ('x',geomT, 'u',0*geomT,...
        'colorfield',colorfield, 'shrink',0.9));
    draw(gcells(i), gv, struct ('x',geom, 'u',0*geom, ...
        'facecolor','none'));
end
view(2)