Application of the Path Tubes Method to the Navier-Stokes Equations
| Autor: | Nélio Henderson, Fábio Freitas Ferreira, Mauricio Kischinhevsky |
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| Rok vydání: | 2017 |
| Předmět: |
Work (thermodynamics)
Mathematical optimization Basis (linear algebra) Discretization ComputingMethodologies_SIMULATIONANDMODELING Computer science Advection 010103 numerical & computational mathematics 02 engineering and technology Extension (predicate logic) 01 natural sciences Physics::Fluid Dynamics 020401 chemical engineering Path (graph theory) General Earth and Planetary Sciences Reynolds transport theorem Applied mathematics 0204 chemical engineering 0101 mathematics Navier–Stokes equations ComputingMethodologies_COMPUTERGRAPHICS General Environmental Science Interpolation |
| Zdroj: | ICCS |
| ISSN: | 1877-0509 |
| Popis: | This work deals with an extension of the Path Tubes method for the solution of the time-dependent Navier-Stokes equations for an incompressible Newtonian fluid. Departing from a physically intuitive methodology based on the theoretical basis of the mechanics of continuous media, a robust numerical technique is obtained. This version of the Path Tubes method draws on a semi-Lagrangian time-discretization that employs the Reynolds’ transport theorem, and a localization approach, to establish an implicit semi-Lagrangian algorithm that allows the use of classical schemes for spatial discretization, such as central-difference formulas, without the need to use upwind techniques, or high-order corrections for time derivatives. Some of the extensive numerical tests are shown herein, in particular for Reynolds’ numbers typical of advection dominated flows. The tests show the method is accurate, even for coarse grids. |
| Databáze: | OpenAIRE |
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