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- W2325504610 abstract "We report progress towards the development of Navier-Stokes schemes having the following features: uniform accuracy with a compact stencil for all Reynolds numbers, O(h) time step for all Reynolds numbers through the viscous limit, and simultaneous computation of diffusive fluxes (viscous stresses/heat fluxes) at the same order of accuracy as the main variables. In this paper, we show that various such schemes can actually be constructed for the advection-diffusion equation, in the form of finite-difference, finite-volume, or residual-distribution, based on a first-order hyperbolic advection-diffusion system, which is an extended system of the first-order hyperbolic diffusion system introduced in Ref.[1]. Following the study on the model problem, we discuss its extension to the Navier-Stokes equations and potential benefits of Navier-Stokes schemes that will emerge as a result." @default.
- W2325504610 created "2016-06-24" @default.
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- W2325504610 date "2009-06-14" @default.
- W2325504610 modified "2023-09-25" @default.
- W2325504610 title "Towards Future Navier-Stokes Schemes: Uniform Accuracy, O(h) Time Step, and Accurate Viscous/Heat Fluxes" @default.
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- W2325504610 doi "https://doi.org/10.2514/6.2009-3648" @default.
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