三阶HWCNS的构造及其在高超声速流动中的应用

doi:10.7527/S1000-6893.2014.0282

Abstract

Abstract:

With very high requirements on computation grids, poor stability property and low computational efficiency, the application of high-order schemes to hypersonic flow simulations is greatly constrained. Focusing on these problems, a 3rd-order hybrid cell-node and cell-center weighted compact nonlinear schemes(HWCNS3) is developed. Some improvements are made on the calculation of smoothness indicators and nonlinear weights, resulting in a new scheme named HWCNS3-OP. Spectral properties of different schemes are compared. Discontinuity capturing ability and high frequency waves' capturing ability are evaluated using Lax and Osher-Shu cases. After that HWCNS3-OP is applied to blunt cone and shuttle hypersonic flow simulations to study the prediction accuracy of heat flux and aerodynamic forces in relative practical cases. In these cases, the stability and efficiency property of HWCNS3-OP are investigated in priority. The results indicate that HWCNS3-OP has high resolution and good discontinuity capturing ability, the ability of simulating high frequency waves is improved by 3 times compared with HWCNS3 and by 4 times compared with monotonic upstream-centered scheme for conservation laws(MUSCL), HWCNS3-OP is more stable, and that HWCNS3-OP's computational efficiency is improved by 2-3 times compared with HWCNS of 5th-order. HWCNS3-OP is a high-order scheme suitable for hypersonic flow simulations with complex grids.

Key words: high-order scheme, HWCNS, hypersonic flow, heat flux prediction, computational stability, computational efficiency

CLC Number:

V211.3
O355

YAN Zhenguo, LIU Huayong, MAO Meiliang, MA Yankai, ZHU Huajun. Development of 3rd-order HWCNS and its application in hypersonic flow[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(5): 1460-1470.

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Development of 3rd-order HWCNS and its application in hypersonic flow

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