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Version vom 09:41, 7. Apr. 2023 (Quelltext anzeigen) Emma Lichtenberg (Diskussion | Beiträge) ← Zum vorherigen Versionsunterschied		Aktuelle Version vom 10:28, 7. Apr. 2023 (Quelltext anzeigen) Emma Lichtenberg (Diskussion | Beiträge)
(Der Versionsvergleich bezieht 23 dazwischenliegende Versionen mit ein.)
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		+	<jsxgraph box="jxgbox" width="500" height="500">
		+	var board = JXG.JSXGraph.initBoard('jxgbox', {boundingbox: [-5,5,5,-5], axis:true});
		+
		+	// Define the metal plate as a polygon
		+	var polygon = board.create('polygon', [[-4,-4], [-4,4], [4,4], [4,-4]], {fillcolor:'#ddd', hasInnerPoints:true});
		+
		+	// Define the initial temperature distribution as a function of x and y
		+	function initialTemp(x,y) {
		+	return 20 + 10*Math.sin(Math.PI*x/4)*Math.sin(Math.PI*y/4);
		+	}
		+
		+	// Define the temperature function as a function of x and y and time
		+	function temp(x,y,t) {
		+	var k = 1;
		+	var c = 1;
		+	var rho = 1;
		+	var alpha = k/(rho*c);
		+	return initialTemp(x,y) + 10*Math.exp(-alpha*Math.PI*Math.PI*t/16)*Math.sin(Math.PI*x/4)*Math.sin(Math.PI*y/4);
		+	}
		+
		+	// Create a grid of points to sample the temperature function
		+	var points = [];
		+	for (var i=-4; i<=4; i+=0.5) {
		+	for (var j=-4; j<=4; j+=0.5) {
		+	points.push([i,j]);
		+	}
		+	}
		+
		+	// Plot the temperature distribution at time t=0
		+	var heatmap = board.create('polygon', [points, initialTemp], {colorscheme:'greyscale', minopacity:0.5});
		+
		+	// Animate the temperature distribution over time
		+	var time = 0;
		+	var dt = 0.1;
		+	var interval = setInterval(function() {
		+	time += dt;
		+	var values = [];
		+	for (var i=0; i<points.length; i++) {
		+	values.push(temp(points[i][0], points[i][1], time));
		+	}
		+	heatmap.updateData(values);
		+	if (time >= 2) clearInterval(interval);
		+	}, 100);
-	<jsxgraph box="jxgbox" width="500" height="500">
-	var board = JXG.JSXGraph.initBoard("jxgbox", {boundingbox: [-2, 8, 12, -2], axis:true});
-
-	// Erstelle den linken Wärmetauscher
-	var heatexchanger1 = board.create('curve', [[0,0], [3,3], [6,3], [6,6], [3,6], [0,9], [-3,6], [-3,3], [0,0]], {strokeColor:'#00f', fillColor:'#00f', fillOpacity:0.5});
-	</jsxgraph>
-
-	// Erstelle den rechten Wärmetauscher
-	var heatexchanger2 = board.create('curve', [[8,0], [11,3], [14,3], [14,6], [11,6], [8,9], [5,6], [5,3], [8,0]], {strokeColor:'#f00', fillColor:'#f00', fillOpacity:0.5});
-
-	// Erstelle die Trennwand
-	var wall = board.create('line', [[6,0], [6,9]], {strokeColor:'#000', strokeWidth:4});
-
-	// Erstelle die Temperaturmesspunkte
-	var temp1 = board.create('glider', [2,2,heatexchanger1], {strokeColor:'#00f', fillColor:'#00f', size:10, name:'T1'});
-	var temp2 = board.create('glider', [10,2,heatexchanger2], {strokeColor:'#f00', fillColor:'#f00', size:10, name:'T2'});
-
-	// Berechne die Temperaturdifferenz
-	var deltaT = board.create('segment', [temp1, temp2], {strokeColor:'#000', strokeWidth:2});
-	var label = board.create('text', [8, 7, function(){return 'ΔT = ' + Math.abs(temp1.Y() - temp2.Y()).toFixed(1) + ' K';}], {fontSize:18});
-
-	//board.update();
-
	</jsxgraph>		</jsxgraph>

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Aktuelle Version vom 10:28, 7. Apr. 2023