A simple method of depressing numerical dissipation effects during wave simulation within the Euler model

Hu, Zhe; Zhang, Xiaoying; Cui, Weicheng; Wang, Fang; Li, Xiaowen; Yan, Li

doi:10.1007/s13131-019-1524-1

Cited by 1 publication

(1 citation statement)

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“…In Computational Fluid Dynamics(CFD), numerical dissipation is considered to derive from the truncation error introduced by the discrete convection term of the spatial discrete schemes, which is closely related to the computational accuracy and stability of the scheme. CFD researchers often use the method of reducing numerical dissipation to construct higher precision computational schemes [1][2][3]. The spatial discrete scheme consists of two parts, the difference scheme and the flux splitting scheme, and this paper mainly discusses the numerical dissipation characteristics of the flux splitting scheme, while the upwind scheme, as the mainstream scheme for solving convective fluxes in CFD at present [4], becomes the object of study in this paper.…”

Section: Introductionmentioning

confidence: 99%

Numerical dissipation of flux splitting schemes for contact discontinuities

Liu

Fang

Wei

2021

Preprint

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The contact discontinuity is simulated by three kinds of flux splitting schemes to evaluate and analyse the influence of numerical dissipation in this paper. The numerical results of one-dimensional contact discontinuity problem show that if the flow velocity on both sides of the contact discontinuity is not simultaneously supersonic, the non-physical pressure and velocity waves may occur when the initial theoretically contact discontinuity is smeared into a transition zone spanning several grid-cells caused by numerical dissipations. Since these non-physical waves have no effect on the corresponding density dissipation, this paper considers these fluctuations as only numerical errors and are not part of the numerical dissipation. In addition, for two-dimensional flow field, the characteristics of high-order accuracy difference schemes, i.e. low dissipation and high resolution, may induce the multi-dimensional non-physical waves that interfere with each other to produce more complex non-physical flow structures, so the fluctuations in the calculated results should be treated with caution.

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Section: Introductionmentioning

confidence: 99%