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Discretization of differential operators for multiblock meshes |
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April 30, 2019, 18:33
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Discretization of differential operators for multiblock meshes
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Senior Member
Selig
Join Date: Jul 2016
Posts: 213
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In the context of FDM on a structured grid, is the discretization of differential operators for multiblock meshes the same as curvilinear meshes?
For curvilinear meshes we introduce  With this in hand for d/dx (in 2D):![\frac{\partial}{\partial x} = \frac{1}{J} \left[\frac{\partial}{\partial \xi} \frac{\partial y}{\partial \eta} - \frac{\partial}{\partial \eta} \frac{\partial y}{\partial \xi}\right]](/Forums/vbLatex/img/f67e1143e910ae0887ddf0c87dc864e3-1.gif "\frac{\partial}{\partial x} = \frac{1}{J} \left[\frac{\partial}{\partial \xi} \frac{\partial y}{\partial \eta} - \frac{\partial}{\partial \eta} \frac{\partial y}{\partial \xi}\right]") My question is whether or not I can apply the same type of methodology when solving my problem on a multiblock mesh. Apologies for my ignorance! |
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