Orthogonal Grids on Meander-like Regions
نویسندگان
چکیده
Lemniscates are level curves of the absolute value of univariate complex polynomials. We consider the approximation of meander-like regions (i.e., regions similar to meandering rivers) by pairs of confocal lemniscates that are stitched together continuously. We look at orthogonal grids on these types of plane regions. The main application is in the area of numerical solution of partial differential equations.
منابع مشابه
VIII CONGRESO COLOMBIANO DE METODOS NUMERICOS: Simulación en Ciencias y Aplicaciones Industriales
We consider the approximation of planar regions by pairs of lemniscates that are stitched together continuously. Lemniscates are level curves of the absolute value of an univariate complex polynomial. We approximate coastal sides or 2D meander like regions such that profiles of arteries, rivers and sinuous roads using lemniscates of two foci and use confocal lemniscates to build orthogonal grid...
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