Comparison of gradient approximation methods in schemes designed for scale-resolving simulations. (Russian. English summary) Zbl 1491.65022
Summary: Various methods for improved accuracy approximation of the gradients entering the diffusion fluxes are considered. Linear combinations of 2nd order difference schemes for a non-uniform grid that transform into 4th order schemes in the uniform case were investigated. We also considered 3rd and 4th order schemes for approximating gradients on a non-uniform grid in the normal and tangent directions to the cell face, respectively, based on Lagrange polynomials. The initial testing was carried out on one-dimensional functions: a smooth Gauss function and a piecewise linear function. Next, the schemes were applied in direct numerical simulation of the Taylor-Green vortex.
MSC:
| 65D25 | Numerical differentiation |
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
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