Entropy Consistent Methods for the Navier–Stokes Equations
Tóm tắt
The concept of entropy conservation, stability, and consistency is applied to systems of hyperbolic equations to create new flux functions for the scalar and systems of conservation laws. Firstly, Burgers’ equation is modelled, followed by the Navier–Stokes equations. The new models are compared with the pre-existing entropy consistent fluxes at selected viscosity levels; it is found that the system flux requires additional entropy production at low viscosities, but not at higher viscosity values. Initial results herein demonstrate that the accuracy of the first order systems approach are comparable to the results produced by the original entropy-consistent Navier–Stokes flux.
Tài liệu tham khảo
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