Numerical generation of three-dimensional coordinates between bodies of arbitrary shapes (Q794151)
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scientific article; zbMATH DE number 3858360
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical generation of three-dimensional coordinates between bodies of arbitrary shapes |
scientific article; zbMATH DE number 3858360 |
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Numerical generation of three-dimensional coordinates between bodies of arbitrary shapes (English)
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1982
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This paper is devoted to the numerical solution of a set of second order elliptic partial differential equations for the generation of three- dimensional curvilinear coordinates between two arbitrary shaped bodies. The central idea of the method is to generate a series of surfaces between the given inner and the outer boundary surfaces and then to connect these surfaces in such a manner so as to have a sufficiently differentiable three-dimensional coordinate net in the enclosed region.
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Gauss equations
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Laplace equations
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Riemann tensor
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coordinate generation
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curvilinear coordinates
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