LisaPizzoExercises/Project/ApplyRobinBC_mult_rot.m
2026-01-28 13:14:33 +01:00

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Matlab

function [K, F] = ApplyRobinBC_mult_rot(model, K, F, alpha, u_out)
mesh = model.Mesh;
nodes = mesh.Nodes;
robinEdges = [4, 5, 6, 11];
for eID = robinEdges
edgeNodes = findNodes(mesh,'region','Edge',eID);
for k = 1:length(edgeNodes)-1
i = edgeNodes(k);
j = edgeNodes(k+1);
xi = nodes(:,i);
xj = nodes(:,j);
% Edge length
L = norm(xi - xj);
% Axisymmetric radius at midpoint
rbar = 0.5 * (xi(1) + xj(1));
% Skip axis (safety, should not occur here)
if rbar == 0
continue;
end
% Robin element matrices (linear edge)
Ke = rbar * alpha * L / 6 * [2 1; 1 2];
Fe = rbar * 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
end