init

2026-03-13 11:24:41 +08:00
commit 04e2bb29c7
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+function plot_3d_grid_patch_optimized(nx, ny, nz, dx, dy, dz, data)
+% 使用patch一次性绘制所有网格（优化版本）
+% 输入参数：
+%   nx, ny, nz - 各方向的网格数
+%   dx, dy, dz - 各方向的网格尺寸向量
+%   data - 物理量数据，维度为(nx, ny, nz)
+
+% 计算每个网格的边界坐标
+x_edges = zeros(nx+1, 1);
+x_edges(1) = 0;
+for i = 1:nx
+    x_edges(i+1) = x_edges(i) + dx(i);
+end
+
+y_edges = zeros(ny+1, 1);
+y_edges(1) = 0;
+for i = 1:ny
+    y_edges(i+1) = y_edges(i) + dy(i);
+end
+
+z_edges = zeros(nz+1, 1);
+z_edges(1) = 0;
+for i = 1:nz
+    z_edges(i+1) = z_edges(i) + dz(i);
+end
+
+% 创建网格顶点坐标
+[X_edges, Y_edges, Z_edges] = ndgrid(x_edges, y_edges, z_edges);
+
+% 重新排列顶点
+vertices = [X_edges(:), Y_edges(:), Z_edges(:)];
+
+% 创建每个体素的8个顶点索引
+n_cells = nx * ny * nz;
+faces = zeros(n_cells * 6, 4);  % 每个体素6个面，每个面4个顶点
+face_colors = zeros(n_cells * 6, 1);
+
+% 顶点编号方式：按照(i,j,k)顺序
+% 每个体素的8个顶点索引
+% v1: (i,j,k)
+% v2: (i+1,j,k)
+% v3: (i+1,j+1,k)
+% v4: (i,j+1,k)
+% v5: (i,j,k+1)
+% v6: (i+1,j,k+1)
+% v7: (i+1,j+1,k+1)
+% v8: (i,j+1,k+1)
+
+face_idx = 1;
+for i = 1:nx
+    for j = 1:ny
+        for k = 1:nz
+            % 计算当前体素的8个顶点索引
+            idx = @(ii, jj, kk) (ii-1)*(ny+1)*(nz+1) + (jj-1)*(nz+1) + kk;
+            
+            v1 = idx(i, j, k);
+            v2 = idx(i+1, j, k);
+            v3 = idx(i+1, j+1, k);
+            v4 = idx(i, j+1, k);
+            v5 = idx(i, j, k+1);
+            v6 = idx(i+1, j, k+1);
+            v7 = idx(i+1, j+1, k+1);
+            v8 = idx(i, j+1, k+1);
+            
+            % 当前体素的值
+            cell_value = data(i, j, k);
+            
+            % 底面 (k层)
+            faces(face_idx, :) = [v1, v2, v3, v4];
+            face_colors(face_idx) = cell_value;
+            face_idx = face_idx + 1;
+            
+            % 顶面 (k+1层)
+            faces(face_idx, :) = [v5, v6, v7, v8];
+            face_colors(face_idx) = cell_value;
+            face_idx = face_idx + 1;
+            
+            % 前面 (j层)
+            faces(face_idx, :) = [v1, v2, v6, v5];
+            face_colors(face_idx) = cell_value;
+            face_idx = face_idx + 1;
+            
+            % 后面 (j+1层)
+            faces(face_idx, :) = [v4, v3, v7, v8];
+            face_colors(face_idx) = cell_value;
+            face_idx = face_idx + 1;
+            
+            % 左面 (i层)
+            faces(face_idx, :) = [v1, v4, v8, v5];
+            face_colors(face_idx) = cell_value;
+            face_idx = face_idx + 1;
+            
+            % 右面 (i+1层)
+            faces(face_idx, :) = [v2, v3, v7, v6];
+            face_colors(face_idx) = cell_value;
+            face_idx = face_idx + 1;
+        end
+    end
+end
+
+% 创建图形
+figure('Position', [100, 100, 1000, 800]);
+
+% 绘制所有面
+patch('Vertices', vertices, 'Faces', faces, ...
+      'FaceVertexCData', face_colors, ...
+      'FaceColor', 'flat', ...
+      'CDataMapping', 'scaled', ...
+      'EdgeColor', 'none', ...
+      'FaceAlpha', 0.9);
+
+% 设置属性
+colorbar;
+colormap jet;
+xlabel('X');
+ylabel('Y');
+zlabel('Z');
+title('三维笛卡尔网格全充满物理量分布（优化版）');
+axis equal;
+view(3);
+grid on;
+box on;
+
+% 光照设置
+lighting gouraud;
+light('Position', [1 1 1], 'Style', 'infinite');
+light('Position', [-1 -1 -1], 'Style', 'infinite');
+end