Time-accurate flow simulations using an efficient Newton-Krylov-Schur approach with high-order temporal and spatial discretization
Time-accurate flow simulations using an efficient Newton-Krylov-Schur approach with high-order temporal and spatial discretization
复制标题
使用具有高阶时间和空间离散化的高效 Newton-Krylov-Schur 方法进行时间精确的流动模拟
DOI：
10.2514/6.2013-383
复制
发表时间：
2013
影响因子：
2.8
通讯作者：
D. Zingg
中科院分区：
文献类型：
--
作者：
P. Boom;D. Zingg
为了证明高阶空间和时间离散的潜在优点，本文采用变阶差分方法，在多块结构网格上对SD 7003机翼上的Taylor-Green涡流和过渡流进行了隐式大涡模拟。空间算子满足分部求和性质，通过同时近似项强制执行块界面耦合和边界条件。该解决方案是集成的时间与显式的第一阶段，单对角隐式龙格库塔方法。对Taylor-Green涡的模拟表明，高阶空间离散在精度和效率方面具有明显的优势。高阶方法能够更好地延迟粗网格上的过度耗散，并且能够更好地捕捉低层网格的细节。类似的耗散和拟能proles获得的二阶空间离散，和四阶空间离散的网格点的数量在每个方向上的一半，一半的时间步长的数量，大约85%的CPU时间。时间收敛研究表明，相对较高的效率的四阶显式第一阶段，单对角隐式龙格库塔方法，除了模拟只需要一个最低水平的精度。对SD 7003机翼转捩流场的模拟结果表明，尽管网格比较粗，但与实验和其它计算结果符合得很好。高阶离散的使用被证明是必不可少的有效地获得这种精度。这些结果清楚地显示了高阶离散的优点，沿着新的并行Newton-Krylov-Schur算法的优点，用于高精度非定常流模拟。
In order to demonstrate the potential advantages of high-order spatial and temporal discretizations, implicit large-eddy simulations of the Taylor-Green vortex ow and transi- tional ow over an SD7003 wing are computed using a variable-ordernite-difference code on multi-block structured meshes. The spatial operators satisfy the summation-by-parts property, with block interface coupling and boundary conditions enforced through simul- taneous approximation terms. The solution is integrated in time with explicit-�rst-stage, singly-diagonally-implicit Runge-Kutta methods. Simulations of the Taylor-Green vortex show the clear advantage of high-order spatial discretizations in terms of accuracy and effi- ciency. The higher-order methods are better able to delay excessive dissipation on coarser grids and are better able to capture the details of the ow onner grids. Similar dissipa- tion and enstrophy proles are obtained with a second-order spatial discretization, and a fourth-order spatial discretization with half the number of grid points in each direction, half the number of time steps, and approximately 85% less CPU time. Temporal convergence studies demonstrate the relatively high efficiency of the fourth-order explicit-�rst-stage, singly-diagonally-implicit Runge-Kutta method, except for simulations requiring only a minimum level of accuracy. Results of the simulation of transitional ow over the SD7003 wing show good agreement with experiment and other computations, despite a relatively coarse grid. The use of high-order discretizations is shown to be essential in obtaining this accuracy efficiently. These results give a clear picture of the benets of high-order discretizations, along with the advantages of the novel parallel Newton-Krylov-Schur algo- rithm presented, for high-accuracy unsteady ow simulation.
影响因子：
3.7
作者：
Jones, L. E.;Sandberg, R. D.;Sandham, N. D.
通讯作者：
Sandham, N. D.
影响因子：
4.7
作者：
R. Sandberg;L. E. Jones;N. Sandham;P. Joseph
通讯作者：
R. Sandberg;L. E. Jones;N. Sandham;P. Joseph
影响因子：
3.7
作者：
Jones, L. E.;Sandberg, R. D.;Sandham, N. D.
通讯作者：
Sandham, N. D.