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Parallel Simulation of the Aerodynamic Characteristics of a Blunt Cone in Multiple Flow Regimes

Published: 10 October 2022 Publication History

Abstract

The aerodynamic characteristics of a blunt cone in multiple flow regimes at Mach number 15 are simulated using a large-scale implicit parallel unified gas kinetic scheme software. A structured grid is used in the physical space and an equally spaced Cartesian grid is used in the velocity space. Every case is computed in parallel with 5100 CPU cores. The Knudsen number based on the radius of blunt cone ranges from 0.00117 to 0.968. The typical flow field characteristics are given, and the contributions of the pressure term and the viscous term to the force coefficients are analyzed.

References

[1]
Ivanov MS, Gimelshein SF. 1998. Computational hypersonic rarefied flows. Annual Review of Fluid Mechanics, 1998,30: 469-505.
[2]
Bird GA.1963. Approach to translational equilibrium in a rigid sphere gas. Physics of Fluids, 1963,6(10): 1518-1519.
[3]
Pulvirenti M, Wagner W, Rossi MBZ. 1994. Convergence of particle schemes for the Boltzmann-equation. European Journal of Mechanics B-Fluids, 1994,13(3): 339-351.
[4]
Wagner W. 1992. A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation. Journal of Statistical Physics, 1992,66(3-4): 1011-1044.
[5]
Candler GV, Boyd ID, Levin DA. 1993. Continuum and DSMC Analysis of Bow Shock Flight Experiments. AIAA paper 93-0275.
[6]
Boyd ID.2007. Modeling of associative ionization reactions in hypersonic rarefied flows. Physics of Fluids, 2007,19(9).
[7]
Bird GA.1990. Application of the direct simulation Monte Carlo method to the full Shuttle geometry. AIAA paper 90-1692.
[8]
Rault DFG. Aerodynamics of the shuttle orbiter at high-altitudes[J]. Journal of Spacecraft and Rockets, 1994,31(6): 944-952.
[9]
Wilmoth RG, LeBeau GJ, Carlson AB. 1996. DSMC grid methodologies for computing low-density, hypersonic flows about reusable launch vehicles. AIAA paper 96-1812.
[10]
Ivanov MS, Markelov GN, Gimelshein SF, 1998. High-altitude capsule aerodynamics with real gas effects. Journal of Spacecraft and Rockets, 1998,35(1): 16-22.
[11]
Markelov GN, Kashkovsky AV, Ivanov MS. 2001. Space station Mir aerodynamics along the descent trajectory. Journal of Spacecraft and Rockets, 2001,38(1): 43-50.
[12]
Moss JN, Glass CE, Hollis BR, 2006. Low-density aerodynamics for the inflatable reentry vehicle experiment. Journal of Spacecraft and Rockets, 2006,43(6): 1191-1201.
[13]
Sun QH, Cai CP, Boy ID, 2006. Computational analysis of high-altitude ionization gauge flight measurements. Journal of Spacecraft and Rockets, 2006,43(1): 186-193.
[14]
Boyd ID, Trumble K, Wright MJ. 2007. Nonequilibrium Particle and Continuum Analyses of Stardust Entry for Near-Continuum Conditions. AIAA paper 2007-4543.
[15]
Rault DFG. 1994. Efficient 3D DSMC for complex geometry problems. In Proceedings of the 18th International Conference on Rarefied Gas Dynamics. Boulder, Colorado, AIAA, Inc. 1994: 137-154.
[16]
Blanchard RC, Wilmoth RG, Moss JN. 1997. Aerodynamic flight measurements and rarefied-flow simulations of Mars entry vehicles. Journal of Spacecraft and Rockets, 1997,34(5): 687-690.
[17]
Moss JN, Blanchard RC, Wilmoth RG, 1999. Mars Pathfinder rarefied aerodynamics: Computations and measurements. Journal of Spacecraft and Rockets, 1999,36(3): 330-339.
[18]
Rault DFG. 1994. Aerodynamic characteristics of the magellan spacecraft in the venus upper-atmosphere. Journal of Spacecraft and Rockets, 1994,31(4): 537-542.
[19]
Haas BL, Milos FS. 1995. Simulated rarefied entry of the galileo probe into the jovian atmosphere. Journal of Spacecraft and Rockets, 1995,32(3): 398-403.
[20]
Bhatnagar PL, Gross EP, Krook M. 1954. A model for collision processes in gases I: Small amplitude processes in charged and neutral onecomponent systems. Physical Review, 1954,94(3): 511-525.
[21]
Welander P. 1954. On the temperature jump in a rarefied gas. Ark Fys, 1954,7: 507-553.
[22]
Holway LH. 1966. New statistical models for kinetic theory - methods of construction. Physics of Fluids, 1966,9(9): 1658-1673.
[23]
Shakhov E.1968. Generalization of the Krook Kinetic Equation. Fluid Dynamics, 1968,3(5): 95-96.
[24]
Rykov VA. 1975. A model kinetic equation for a gas with rotational degrees of freedom. Fluid Dynamics, 1975,10(6): 959-966.
[25]
Anderson JD. 1995. Computational Fluid Dynamics: The Basics with Applications. New York: McGraw-Hill, Inc.
[26]
Chu CK. 1965. Kinetic-theoretic description of formation of a shock wave. Physics of Fluids, 1965,8(1): 12-22.
[27]
Chu CK. 1965. Kinetic-theoretic description of shock wave formation. Physics of Fluids, 1965,8(8): 1450-1455.
[28]
Yang JY, Huang JC. 1995. Rarefied flow computations using nonlinear model Boltzmann equations. Journal of Computational Physics, 1995,120(2): 323-339.
[29]
Morse TF. 1964. Kinetic model for gases with internal degrees of freedom. Physics of Fluids, 1964,7(2): 159-169.
[30]
Yang J, Y, Huang JC.1995. Computations of Kinetic Model Equations for Gases with Internal Degrees of Freedom. AIAA paper 95-2315.
[31]
Titarev V, Dumbser M, Utyuzhnikov S. 2014. Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions. Journal of Computational Physics, 2014,256: 17-33.
[32]
Titarev VA. 2009. Numerical method for computing two-dimensional unsteady rarefied gas flows in arbitrarily shaped domains. Computational Mathematics and Mathematical Physics, 2009,49(7): 1197-1211.
[33]
Titarev VA. 2010. Implicit Unstructured-Mesh Method for Calculating Poiseuille Flows of Rarefied Gas. Communications in Computational Physics, 2010,8(2): 427-444.
[34]
Titarev VA. 2012. Efficient Deterministic Modelling of Three-Dimensional Rarefied Gas Flows. Communications in Computational Physics, 2012,12(1): 162-192.
[35]
Titarev VA. 2012. Direct numerical solution of model kinetic equations for flows in arbitrary three-dimensional geometries. In Proceedings of the 28th International Conference on Rarefied Gas Dynamics. Zaragoza; Amer Inst Physics. 2012: 262-271.
[36]
Evans B, Morgan K, Hassan O.2011. A discontinuous finite element solution of the Boltzmann kinetic equation in collisionless and BGK forms for macroscopic gas flows. Applied Mathematical Modelling, 2011,35 (Compendex): 996-1015.
[37]
Alekseenko AM. 2011. Numerical properties of high order discrete velocity solutions to the BGK kinetic equation. Applied Numerical Mathematics, 2011,61(4): 410-427.
[38]
Alekseenko A, Gimelshein N, Gimelshein S. 2012. An application of Discontinuous Galerkin space and velocity discretisations to the solution of a model kinetic equation. International Journal of Computational Fluid Dynamics, 2012,26(3): 145-161.
[39]
Li Zhihui. 2001. Study on gas kinetic algorithm for flows from rarefied transition to continuum. PhD Thesis, China Aerodynamic Research and Development Center.(in Chinese)
[40]
Li Z-H, Peng A-P, Zhang H-X, 2015. Rarefied gas flow simulations using high-order gas-kinetic unified algorithms for Boltzmann model equations. Progress in Aerospace Sciences, 2015,74: 81-113.
[41]
Xu K, Huang JC. 2010. A unified gas-kinetic scheme for continuum and rarefied flows. Journal of Computational Physics, 2010,229(20): 7747-7764.
[42]
Xu Kun, Li Qibing, Li Zuowu. 2014. Direct modeling-based computational fluid dynamics. Scientia Sinica Physica, Mechanica & Astronomica,2014, 44(5): 519-530. (in Chinese)
[43]
XU K, HUANG J-C. 2011. An improved unified gas-kinetic scheme and the study of shock structures. Ima Journal of Applied Mathematics, 2011,76: 698-711.
[44]
Huang J-C, Xu K, Yu P. 2012. A Unified Gas-Kinetic Scheme for Continuum and Rarefied Flows II: Multi-Dimensional Cases. Communications in Computational Physics, 2012,12(3): 662-690.
[45]
Huang J-C, Xu K, Yu P. 2013. A Unified Gas-Kinetic Scheme for Continuum and Rarefied Flows III: Microflow Simulations. Communications in Computational Physics, 2013,14(5): 1147-1173.
[46]
Liu S, Yu P, Xu K, 2014. Unified gas-kinetic scheme for diatomic molecular simulations in all flow regimes. Journal of Computational Physics, 2014,259: 96-113.
[47]
Chen SZ, Xu K, Lee C, 2012. A unified gas kinetic scheme with moving mesh and velocity space adaptation. Journal of Computational Physics, 2012,231(20): 6643-6664.
[48]
Li Qibing, Xu Kun.2012. Progress in Gas-Kinetic Scheme. Advances in Mechanics, 2012,42(5): 522-537. (in Chinese)
[49]
Yu PB. 2013. A Unified Gas Kinetic Scheme For All Knudsen Number Flows. PhD Thesis, Department of Mathematics, The Hong Kong University of Science and Technology.
[50]
Jiang Dingwu, Mao Meiliang, Li Jin, Deng Xiaogang. 2019. An implicit parallel UGKS solver for flows covering various regimes. Advances in Aerodynamics, 2019, 1:8.
[51]
Jin Li, Dingwu Jiang, Xiangren Geng, Jianqiang Chen. 2021. Kinetic comparative study on aerodynamic characteristics of hypersonic reentry vehicle from near-continuous flow to free molecular flow. Advances in Aerodynamics, 2021,3:10.
[52]
Wang Pei, Li Jin, Jiang Dingwu, Mao Meiliang. 2022. Parallel implementation and validation of an implicit unified gas kinetic solver. In Proceedings of the HPCCT2022.

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cover image ACM Other conferences
HPCCT '22: Proceedings of the 2022 6th High Performance Computing and Cluster Technologies Conference
July 2022
68 pages
ISBN:9781450396646
DOI:10.1145/3560442
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

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Publication History

Published: 10 October 2022

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Author Tags

  1. aerodynamic characteristics
  2. blunt cone
  3. hypersonic

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  • Refereed limited

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  • NNW
  • NSFC

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