2D Wave Equation

Harish
/
2D Wave Equation

on 10 Oct 2024

Cite your audio source here (if applicable):

drawframe(1);

Write your drawframe function below

function drawframe(f)
    % Parameters
    N = 100; % Grid size
    L = 10; % Domain length
    x = linspace(-L, L, N); % Spatial coordinates
    y = linspace(-L, L, N); % Spatial coordinates
    [X, Y] = meshgrid(x, y); % Create mesh grid
    t = f / 96 * 2 * pi; % Normalize frame to [0, 2*pi] for time
    % 2D Wave Equation: Create a wave propagating in both x and y directions
    wave = sin(sqrt(X.^2 + Y.^2) - t); % Wave equation
    % Clear previous figure
    persistent fig ax
    if isempty(fig)
        fig = figure('Color', 'white'); % Create a new figure
        ax = axes('Parent', fig);
        colormap jet; % Set colormap
        caxis([-1, 1]); % Set color axis limits
        view(3); % Set initial view to 3D
        grid off; % Enable grid
        axis tight; % Fit axes tightly around the surface
    end
    % Display the wave
    s = surf(X, Y, wave, 'EdgeColor', 'none'); % Create surface plot
    xlabel('X-axis', 'Color', 'w'); % Label X-axis
    ylabel('Y-axis', 'Color', 'w'); % Label Y-axis
    zlabel('Wave Amplitude', 'Color', 'w'); % Label Z-axis
    axis([-L L -L L -1 1]); % Set axis limits
    axis equal;
    axis off;
    
    % Adjust the view for isometric effect
    view(30, 30); % Isometric view angle
    lighting gouraud; % Add lighting for better visual effect
    camlight('headlight'); % Add camera light
    drawnow; % Update the figure
end
% Example call (for testing purposes)
% drawframe(96);

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