Orthogonal curvilinear coordinates occupy a special place among general coordinate systems, due to their special properties. There exists a number of such coordinate systems where the Laplace or Helmholtz equations may be separable, thus yielding a powerful tool to solve them. Operations like gradients, divergence, Laplacian take on much simpler forms in orthogonal coordinates. In this chapter the summation convention will not be used.
(2021). Orthogonal Curvilinear Coordinate Systems . Retrieved from http://hdl.handle.net/10446/205407
Orthogonal Curvilinear Coordinate Systems
Cossali G.;Tonini S.
2021-01-01
Abstract
Orthogonal curvilinear coordinates occupy a special place among general coordinate systems, due to their special properties. There exists a number of such coordinate systems where the Laplace or Helmholtz equations may be separable, thus yielding a powerful tool to solve them. Operations like gradients, divergence, Laplacian take on much simpler forms in orthogonal coordinates. In this chapter the summation convention will not be used.File allegato/i alla scheda:
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