A Modified Numerical Method for Arbitrary Mach Number Flows Based on the Preconditioning Technique

WANG Qiang; JIANG Peng

doi:10.3879/j.issn.1000-0887.2016.06.002

Volume 37 Issue 6

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WANG Qiang, JIANG Peng. A Modified Numerical Method for Arbitrary Mach Number Flows Based on the Preconditioning Technique[J]. Applied Mathematics and Mechanics, 2016, 37(6): 567-573. doi: 10.3879/j.issn.1000-0887.2016.06.002

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A Modified Numerical Method for Arbitrary Mach Number Flows Based on the Preconditioning Technique

doi: 10.3879/j.issn.1000-0887.2016.06.002

WANG Qiang¹,
JIANG Peng²

¹School of Mechanical and Power Engineering, North University of China, Taiyuan 030051, P.R.China;²School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, P.R.China

Funds: China Postdoctoral Science Foundation（2011M500545）

Received Date: 2015-11-11
Rev Recd Date: 2016-01-13
Publish Date: 2016-06-15

Abstract

Abstract

The preconditioning technique was applied to modify the existent LU-SGS solver for compressible flows, which was unsuitable for the prediction of low-speed incompressible flows. The preconditioning modification included treatment of the eigen system of the governing equations, improvement of the implicit solving method and discretization of the convection terms with the low-diffusion difference scheme and the AUSM+-up scheme. The modified solver was applied to numerical simulations of inviscid bump flows, lid-driven square cavity viscous flows and Laval nozzle flows. The comparison between the present results and those in the previous literatures proves the feasibility of the preconditioning-modified numerical method in the simulation of arbitrary Mach number flows, including the low-speed, the subsonic, the transonic and the supersonic invicid or viscous flows.
- computational fluid dynamics,
- arbitrary Mach number flow,
- preconditioning technique,
- time-dependent method

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References(10)

References

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