Verallgemeinerte Neumann-Randbedingungen 

Berechnen Sie die Wärmeabfuhr eines Kühlkörpers.

In[1]:=

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Verwenden Sie das Finite-Elemente-Paket und generieren Sie ein feines Gitternetz des B-Rep-Modells des Kühlkörpers.

In[2]:=

X Needs["NDSolve`FEM`"] mesh = ToElementMesh[bmesh, "MaxCellMeasure" -> 10]

Out[2]=

Lösen Sie eine Laplace-Gleichung über dem Kühlkörper mit zwei verallgemeinerten Neumann-Randbedingungen vorgeschrieben für markierte Zellen, die im B-Rep-Modell und im Gitternetz verteilt sind.

In[3]:=

X uif = NDSolveValue[-232.6 Laplacian[u[x, y, z], {x, y, z}] == NeumannValue[1000, ElementMarker == 2] + NeumannValue[(x/100 + 2) 58.15*(273.15 + 20 - u[x, y, z]), ElementMarker == 1], u, {x, y, z} \[Element] mesh];

Visualisieren Sie die Lösung mithilfe des Finite-Elemente-Pakets.

Die gesamte Wolfram-Language Eingabe zeigenEingabe verbergen

In[4]:=

X ElementMeshSurfacePlot3D[uif, Boxed -> False, Lighting -> "Neutral", ViewPoint -> {-2, -2, -1.6}]

Out[4]=