ICCM Conferences, The 12th International Conference on Computational Methods (ICCM2021)

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On the spatial symmetry of high-resolution simulation for compressible flow
Hiro Wakimura

Last modified: 2021-06-15


Compressible flow has complex structures of wide-range scales such as vortices, turbulence, shock waves and contact discontinuities. In order to accurately capture the small fluid structures and discontinuous solutions, low-dissipation schemes have been developed so far. Meanwhile, the improvement of computational power enables simulations with high grid resolution. As a result, numerical simulations with extremely low dissipation can be obtained. However, in such high-resolution numerical simulations, errors of floating-point arithmetic may be amplified and result in asymmetric solutions even the physical configurations are symmetric. In this study, we have thoroughly examined the causes of symmetry-breaking and proposed numerical techniques to completely eliminate the numerical errors for asymmetric solutions.


Computational Fluid Dynamics; Compressible Flow; High-resolution Simulation; Low-dissipation Scheme; Spatial Symmetry Preserving;

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