DOAJ Open Access 2021

Fluid Dynamics in Curvilinear Coordinates without Fictitious Forces

Christian Y. Cardall

Abstrak

The use of curvilinear coordinates is sometimes indicated by the inherent geometry of a fluid dynamics problem, but this introduces fictitious forces into the momentum equations that spoil the strict conservative form. If one is willing to work in three dimensions, these fictitious forces can be eliminated by solving for rectangular (Cartesian) momentum components on a curvilinear mesh. A thoroughly geometric approach to fluid dynamics on spacetime demonstrates this transparently, while also giving insight into a greater unity of the relativistic and nonrelativistic cases than is usually appreciated.

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C

Christian Y. Cardall

Format Sitasi

Cardall, C.Y. (2021). Fluid Dynamics in Curvilinear Coordinates without Fictitious Forces. https://doi.org/10.3390/fluids6100366

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Informasi Jurnal
Tahun Terbit
2021
Sumber Database
DOAJ
DOI
10.3390/fluids6100366
Akses
Open Access ✓