Delete Project/ApplyRobinBC_mult.m

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Lisa Pizzo 2026-01-26 20:38:10 +01:00
commit 29eb461321

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function [K, F] = ApplyRobinBC_mult(model, K, F, alpha, u_out)
% ApplyRobinBC_mult
% Implements Robin BC:
% lambda * du/dn + alpha*u = alpha*u_out
%
% alpha : heat transfer coefficient
% u_out : outside temperature
mesh = model.Mesh;
nodes = mesh.Nodes;
elements = mesh.Elements;
% --- Find boundary edges ---
edgesAll = [elements([1 2],:), elements([2 3],:), elements([3 1],:)];
edgesSorted = sort(edgesAll,1);
[edgesUnique,~,ic] = unique(edgesSorted','rows');
counts = accumarray(ic,1);
boundaryEdges = edgesUnique(counts==1,:); % Nx2 array
% --- Loop over Robin boundary edges ---
for k = 1:size(boundaryEdges,1)
i = boundaryEdges(k,1);
j = boundaryEdges(k,2);
ri = nodes(1,i);
rj = nodes(1,j);
if ri == 0 && rj == 0
% Edge lies on symmetry axis r = 0
% -> homogeneous Neumann BC, no Robin contribution
continue;
end
xi = nodes(:,i);
xj = nodes(:,j);
L = norm(xi - xj); % edge length
% Robin boundary element matrices
Ke = alpha * L / 6 * [2 1; 1 2];
Fe = alpha * u_out * L / 2 * [1; 1];
% Assemble
K([i j],[i j]) = K([i j],[i j]) + Ke;
F([i j]) = F([i j]) + Fe;
end
end