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首页> 外文期刊>Journal of Computational Physics >A high-order low-dispersion symmetry-preserving finite-volume method for compressible flow on curvilinear grids
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A high-order low-dispersion symmetry-preserving finite-volume method for compressible flow on curvilinear grids

机译：曲线网格上可压缩流的高阶低色散保持对称性有限体积方法

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A new high-order finite-volume method is presented that preserves the skew symmetry of convection for the compressible flow equations. The method is intended for Large-Eddy Simulations (LES) of compressible turbulent flows, in particular in the context of hybrid RANS-LES computations. The method is fourth-order accurate and has low numerical dissipation and dispersion. Due to the finite-volume approach, mass, momentum, and total energy are locally conserved. Furthermore, the skew-symmetry preservation implies that kinetic energy, sound-velocity, and internal energy are all locally conserved by convection as well. The method is unique in that all these properties hold on non-uniform, curvilinear, structured grids. Due to the conservation of kinetic energy, there is no spurious production or dissipation of kinetic energy stemming from the discretization of convection. This enhances the numerical stability and reduces the possible interference of numerical errors with the subgrid-scale model. By minimizing the numerical dispersion, the numerical errors are reduced by an order of magnitude compared to a standard fourth-order finite-volume method.
机译：提出了一种新的高阶有限体积方法，该方法为可压缩流动方程式保留了对流的偏斜对称性。该方法适用于可压缩湍流的大涡模拟（LES），尤其是在混合RANS-LES计算的背景下。该方法是四阶精确的，数值耗散和色散低。由于采用了有限体积方法，所以质量，动量和总能量在局部是守恒的。此外，偏斜对称性的保存意味着动能，声速和内能也都通过对流而局部守恒。该方法的独特之处在于，所有这些属性都保持在非均匀，曲线，结构化的网格上。由于动能守恒，不存在对流离散化引起的动能虚假产生或耗散。这样可以增强数值稳定性，并减少子网格比例模型可能产生的数值误差干扰。与标准的四阶有限体积方法相比，通过最小化数值离散，数值误差减少了一个数量级。

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