A high-order low-dispersion symmetry-preserving finite-volume method for compressible flow on curvilinear grids
A high-order low-dispersion symmetry-preserving finite-volume method for compressible flow on curvilinear grids
复制标题
DOI：
10.1016/j.jcp.2009.06.015
复制
发表时间：
2009-10
期刊：
影响因子：
--
通讯作者：
Johan C. Kok
中科院分区：
文献类型：
--
作者：
Johan C. Kok
提出了一种新的高阶有限体积方法，该方法可以保持可压缩流动方程的对流偏对称性。该方法适用于可压缩湍流的大涡模拟（LES），特别是在混合ranss - LES计算的背景下。该方法具有四阶精度和较低的数值耗散。由于有限体积的方法，质量、动量和总能量是局部守恒的。此外，偏对称守恒意味着动能、声速和内能都被对流局部守恒。该方法的独特之处在于，所有这些属性都适用于非均匀的曲线结构网格。由于动能守恒，不存在由于对流离散化而产生的动能虚假产生或耗散。这提高了数值稳定性，减少了数值误差对亚网格尺度模型的干扰。通过最小化数值色散，与标准的四阶有限体积方法相比，数值误差降低了一个数量级。
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.