A freestream-preserving fourth-order finite-volume method in mapped coordinates with adaptive-mesh refinement
A freestream-preserving fourth-order finite-volume method in mapped coordinates with adaptive-mesh refinement
复制标题
具有自适应网格细化的映射坐标中保留自由流的四阶有限体积方法
DOI：
10.1016/j.compfluid.2015.10.001
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发表时间：
2015
影响因子：
2.8
通讯作者：
P. Colella
中科院分区：
文献类型：
--
作者：
S. Guzik;Xinfeng Gao;Landon D. Owen;P. McCorquodale;P. Colella
本文提出了一种求解含时双曲型守恒律方程组的四阶精度有限体积法，该方法在空间和时间上自适应加密映射网格。新的考虑因素制定的半离散系统的方程在计算空间相结合的详细机制，以适应网格。这些考虑确保守恒被保持，并且常数向量场的散度总是为零（自由流保持性质）。采用四阶龙格-库塔法进行时间求解。一系列的试验验证了该算法在光滑流场中达到了预期的精度，马赫反射问题的求解证明了该算法在解决强间断问题上的有效性。
A fourth-order accurate finite-volume method is presented for solving time-dependent hyperbolic systems of conservation laws on mapped grids that are adaptively refined in space and time. Novel considerations for formulating the semi-discrete system of equations in computational space are combined with detailed mechanisms for accommodating the adapting grids. These considerations ensure that conservation is maintained and that the divergence of a constant vector field is always zero (freestream-preservation property). The solution in time is advanced with a fourth-order Runge–Kutta method. A series of tests verifies that the expected accuracy is achieved in smooth flows and the solution of a Mach reflection problem demonstrates the effectiveness of the algorithm in resolving strong discontinuities.