l13 - Lecture 13: Diffusion on Unstructured Meshes 1 Last...

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1 Lecture 13: Diffusion on Unstructured Meshes
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2 Last Time… We looked at Von Neumann stability analysis » Apply to explicit scheme and establish stability limits
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3 This Time… We will look at Consider 2D steady diffusion on orthogonal unstructured meshes Start 2D steady diffusion on non-orthogonal unstructured meshes.
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4 Diffusion on Unstructured Meshes Recall unstructured mesh: » Each node connected to arbitrary number of neighbors First we will look at “orthogonal” meshes made up of convex polyhedra Then we will look at “non- orthogonal” unstructured meshes
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5 Diffusion on Orthogonal Meshes Consider mesh of convex polyhedra Mesh is considered orthogonal if line joining cell centroids is perpendicular to face This admittedly constrains how “unstructured” a mesh can get
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6 Orthogonal Mesh
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7 2D Steady Diffusion Governing equation: Here Integrate over control volume around C0 Apply Divergence theorem
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8 Finite Volume Scheme
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l13 - Lecture 13: Diffusion on Unstructured Meshes 1 Last...

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