diff --git a/Project/ApplyRobinBC_mult_rot.m b/Project/ApplyRobinBC_mult_rot.m index 3a9d8ba..39b5587 100644 --- a/Project/ApplyRobinBC_mult_rot.m +++ b/Project/ApplyRobinBC_mult_rot.m @@ -1,36 +1,37 @@ function [K, F] = ApplyRobinBC_mult_rot(model, K, F, alpha, u_out) -mesh = model.Mesh; +mesh = model.Mesh; nodes = mesh.Nodes; -elements = mesh.Elements; -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,:); +robinEdges = [4, 5, 6, 11]; -for k = 1:size(boundaryEdges,1) - i = boundaryEdges(k,1); - j = boundaryEdges(k,2); +for eID = robinEdges - ri = nodes(1,i); - rj = nodes(1,j); - - %find the edges on the axis -> homogeneous Neumann BC, no Robin contribution - if ri == 0 && rj == 0 - continue; + 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 - - xi = nodes(:,i); - xj = nodes(:,j); - - L = norm(xi - xj); - rbar = 0.5 * (xi(1) + xj(1)); % r at edge midpoint - - Ke = rbar * alpha * L / 6 * [2 1; 1 2]; - Fe = rbar * alpha * u_out * L / 2 * [1; 1]; - - K([i j],[i j]) = K([i j],[i j]) + Ke; - F([i j]) = F([i j]) + Fe; end end