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International Heat Transfer Conference 16

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

A HIGH-ORDER NUMERICAL SIMULATION OF 2D RAYLEIGH-BENARD CONVECTION WITH COMPRESSIBLE NAVIER-STOKES EQUATIONS

Yaojie Yu
National Key Laboratory of Science and Technology of Aerodynamic Design and Research, Northwestern Polytechnical University, Xi'an, 710072, China

Feng Liu
Department of Mechanical and Aerospace Engineering, University of California, Irvine, CA 92697-3975

Chao Gao
National Key Laboratory of Science and Technology of Aerodynamic Design and Research, Northwestern Polytechnical University, Xi'an, 710072, China

Ya Liu
National Key Laboratory of Science and Technology of Aerodynamic Design and Research, Northwestern Polytechnical University, Xi'an, 710072, China

Tingbo Zhou
Facility Design and Instrumentation Institute, China Aerodynamic Research and Development Center, Mianyang, 621000, China

DOI: 10.1615/IHTC16.cov.022717
pages 3033-3044


KEY WORDS: High-order Methods, low Mach Flow, Flux Reconstruction, Rayleigh–Bénard Convection

Abstract

Low Mach flows are common and typical in industrial applications. When simulating these flows, the traditional compressible flow solvers' performance can deteriorate in terms of both efficiency and accuracy. In this paper, a high order numerical method for solving nearly incompressible flows with compressible Navier-Stokes equations is proposed by combining Flux Reconstruction scheme with preconditioning technique. Us- ing this method and the Oberbeck-Boussinesq assumption, the classical Rayleigh-Bnard thermal convection is numerically simulated. Firstly, a p and h refinement research is conducted to verify the grid convergence. Then, the influence of the Ra number is analyzed. Compared with the reference results, it is found that the result of this method is very close to the result of the incompressible solvers.

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