fini

proj/plotProfiles.m

@@ -20,7 +20,9 @@ function plotProfiles(x_coords, profiles_data, labels)
     xlabel('Position along bar, x (m)');
     ylabel('Temperature, T (^oC)');
     title('Temperature Profiles Over Time');
-    legend('Location', 'southeast');
+    if length(profiles_data) <= 15
+        legend('Location', 'ne');
+    end
     ylim([0 100]); % Set y-limits to reasonable temperature range
     hold off;
 end

proj/runHeatProject.m

@@ -3,14 +3,19 @@ thermal_cond.Tg = 100; thermal_cond.Td = 50; thermal_cond.T0 = 0;
 steps.dx = 0.01; steps.dt = 0.5;
 
 t_final_s_sim = 2000; % Total simulation time
-plot_points = [0, 10, 50, 100, 200, 500, 1000, 2000]; % Specific times to capture profiles
+% plot_points = [0, 10,  50, 100, 200, 500, 2000]; % Specific times to capture profiles
+specific_early_points = [0, 5, 10, 20];
+mid = [50:50:750];
+bar = [750:250:1250];
+quux = [t_final_s_sim];
+plot_points = unique([specific_early_points, mid, bar, quux]); 
 
 % Call the solver function
 [x_coords, final_T_profile, midpoint_T_series, time_vec, all_temp_profiles, profile_labels] = ...
     solveHeatEquation(material, thermal_cond, steps, t_final_s_sim, plot_points);
 
 % Create and populate the figure with subplots
-figure('Color', 'white', 'Position', [100, 100, 1000, 400]);
+figure('Color', 'white', 'Position', [100, 100, 1920, 1080]);
 
 subplot(1, 2, 1);
 plotProfiles(x_coords, all_temp_profiles, profile_labels);

proj/solveHeatEquation.m

@@ -49,20 +49,15 @@ function [x, T_final_profile, T_time_series, time_vector, all_profiles, all_prof
     T_time_series = zeros(1, Nt);
     T_time_series(1) = T_current(mid_index);
 
-        % Store profiles for plotting (initialization, before the main loop)
+    % Store profiles for plotting
-    all_profiles = cell(size(plot_time_points)); % Pre-allocate
+    all_profiles = cell(length(plot_time_points), 1);
-    all_profile_times = cell(size(plot_time_points));
+    all_profile_times = cell(length(plot_time_points), 1);
     
-    % Track if a profile for a given plot_time_point has been captured
+    % Capture initial profile (t=0)
-    % This ensures each target time is captured only once and correctly.
+    if ismembertol(0, plot_time_points, dt/2, 'DataScale', 1)
-    captured_flags = false(size(plot_time_points));
+        all_profiles{1} = T_current;
-    
+        all_profile_times{1} = sprintf('t = %.0f s', 0); % Using sprintf for consistent formatting
-    % Capture initial profile (t=0) - this should always be the first plot point
+    end
-    % Assuming plot_time_points(1) is 0
-    all_profiles{1} = T_current;
-    all_profile_times{1} = sprintf('t = %.0f s', plot_time_points(1));
-    captured_flags(1) = true; % Mark t=0 as captured
-
     % Main Time Loop
     for n = 1:Nt-1
         T_next = T_current; % Initialize T_next. Boundary conditions are retained.
@@ -77,30 +72,14 @@ function [x, T_final_profile, T_time_series, time_vector, all_profiles, all_prof
         % Store midpoint temperature
         T_time_series(n+1) = T_current(mid_index);
 
-    % Store full profiles at specified plot times
+        % Store full profiles at specified plot times
-    % Iterate through plot_time_points to find matches
+        % Use a small tolerance for floating point comparison to match plot_time_points
-    for p_idx = 1:length(plot_time_points)
+        [is_plot_time, idx_to_store] = ismembertol(time_vector(n+1), plot_time_points, dt/2, 'DataScale', 1);
-        if ~captured_flags(p_idx) % Only try to capture if not already captured
+        if is_plot_time
-            % Check if current simulation time (time_vector(n+1)) is at or just past the target plot time
+            all_profiles{idx_to_store} = T_current;
-            % Use a small tolerance relative to dt to account for floating point
+            all_profile_times{idx_to_store} = sprintf('t = %.0f s', time_vector(n+1));
-            if time_vector(n+1) >= plot_time_points(p_idx) - dt/2 && time_vector(n+1) < plot_time_points(p_idx) + dt/2
-                all_profiles{p_idx} = T_current;
-                all_profile_times{p_idx} = sprintf('t = %.0f s', plot_time_points(p_idx)); % Use the *target time* for label
-                captured_flags(p_idx) = true; % Mark as captured
-            end
         end
     end
-
-    % Add a check at the very end of the simulation to ensure the final plot_time_point is captured
-    % if t_final_s matches one of the plot_time_points and it wasn't captured exactly during the loop
-    [is_final_plot_time, idx_final_plot] = ismembertol(t_final_s, plot_time_points, dt/2);
-    if is_final_plot_time && ~captured_flags(idx_final_plot)
-        all_profiles{idx_final_plot} = T_current;
-        all_profile_times{idx_final_plot} = sprintf('t = %.0f s', t_final_s);
-        captured_flags(idx_final_plot) = true;
-    end
-
-    end
     
     T_final_profile = T_current; % The profile at the very end of the simulation
 end