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.
- Ivanov MS, Gimelshein SF. 1998. Computational hypersonic rarefied flows. Annual Review of Fluid Mechanics, 1998,30: 469-505.Google ScholarCross Ref
- Bird GA.1963. Approach to translational equilibrium in a rigid sphere gas. Physics of Fluids, 1963,6(10): 1518-1519.Google ScholarCross Ref
- 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.Google Scholar
- 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.Google ScholarCross Ref
- Candler GV, Boyd ID, Levin DA. 1993. Continuum and DSMC Analysis of Bow Shock Flight Experiments. AIAA paper 93-0275.Google Scholar
- Boyd ID.2007. Modeling of associative ionization reactions in hypersonic rarefied flows. Physics of Fluids, 2007,19(9).Google ScholarCross Ref
- Bird GA.1990. Application of the direct simulation Monte Carlo method to the full Shuttle geometry. AIAA paper 90-1692.Google Scholar
- Rault DFG. Aerodynamics of the shuttle orbiter at high-altitudes[J]. Journal of Spacecraft and Rockets, 1994,31(6): 944-952.Google ScholarCross Ref
- Wilmoth RG, LeBeau GJ, Carlson AB. 1996. DSMC grid methodologies for computing low-density, hypersonic flows about reusable launch vehicles. AIAA paper 96-1812.Google Scholar
- 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.Google ScholarCross Ref
- 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.Google ScholarCross Ref
- 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.Google ScholarCross Ref
- 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.Google ScholarCross Ref
- Boyd ID, Trumble K, Wright MJ. 2007. Nonequilibrium Particle and Continuum Analyses of Stardust Entry for Near-Continuum Conditions. AIAA paper 2007-4543.Google Scholar
- 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.Google Scholar
- 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.Google ScholarCross Ref
- Moss JN, Blanchard RC, Wilmoth RG, 1999. Mars Pathfinder rarefied aerodynamics: Computations and measurements. Journal of Spacecraft and Rockets, 1999,36(3): 330-339.Google ScholarCross Ref
- Rault DFG. 1994. Aerodynamic characteristics of the magellan spacecraft in the venus upper-atmosphere. Journal of Spacecraft and Rockets, 1994,31(4): 537-542.Google ScholarCross Ref
- 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.Google ScholarCross Ref
- 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.Google ScholarCross Ref
- Welander P. 1954. On the temperature jump in a rarefied gas. Ark Fys, 1954,7: 507-553.Google Scholar
- Holway LH. 1966. New statistical models for kinetic theory - methods of construction. Physics of Fluids, 1966,9(9): 1658-1673.Google ScholarCross Ref
- Shakhov E.1968. Generalization of the Krook Kinetic Equation. Fluid Dynamics, 1968,3(5): 95-96.Google Scholar
- Rykov VA. 1975. A model kinetic equation for a gas with rotational degrees of freedom. Fluid Dynamics, 1975,10(6): 959-966.Google Scholar
- Anderson JD. 1995. Computational Fluid Dynamics: The Basics with Applications. New York: McGraw-Hill, Inc.Google Scholar
- Chu CK. 1965. Kinetic-theoretic description of formation of a shock wave. Physics of Fluids, 1965,8(1): 12-22.Google Scholar
- Chu CK. 1965. Kinetic-theoretic description of shock wave formation. Physics of Fluids, 1965,8(8): 1450-1455.Google Scholar
- Yang JY, Huang JC. 1995. Rarefied flow computations using nonlinear model Boltzmann equations. Journal of Computational Physics, 1995,120(2): 323-339.Google ScholarDigital Library
- Morse TF. 1964. Kinetic model for gases with internal degrees of freedom. Physics of Fluids, 1964,7(2): 159-169.Google ScholarCross Ref
- Yang J, Y, Huang JC.1995. Computations of Kinetic Model Equations for Gases with Internal Degrees of Freedom. AIAA paper 95-2315.Google Scholar
- 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.Google ScholarCross Ref
- 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.Google ScholarCross Ref
- Titarev VA. 2010. Implicit Unstructured-Mesh Method for Calculating Poiseuille Flows of Rarefied Gas. Communications in Computational Physics, 2010,8(2): 427-444.Google ScholarCross Ref
- Titarev VA. 2012. Efficient Deterministic Modelling of Three-Dimensional Rarefied Gas Flows. Communications in Computational Physics, 2012,12(1): 162-192.Google ScholarCross Ref
- 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.Google ScholarCross Ref
- 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.Google ScholarCross Ref
- Alekseenko AM. 2011. Numerical properties of high order discrete velocity solutions to the BGK kinetic equation. Applied Numerical Mathematics, 2011,61(4): 410-427.Google ScholarDigital Library
- 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.Google ScholarDigital Library
- 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)Google Scholar
- 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.Google ScholarCross Ref
- Xu K, Huang JC. 2010. A unified gas-kinetic scheme for continuum and rarefied flows. Journal of Computational Physics, 2010,229(20): 7747-7764.Google ScholarDigital Library
- 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)Google Scholar
- 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.Google Scholar
- 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.Google ScholarCross Ref
- 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.Google ScholarCross Ref
- 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.Google ScholarCross Ref
- 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.Google ScholarDigital Library
- Li Qibing, Xu Kun.2012. Progress in Gas-Kinetic Scheme. Advances in Mechanics, 2012,42(5): 522-537. (in Chinese)Google Scholar
- 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.Google Scholar
- 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.Google ScholarCross Ref
- 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.Google Scholar
- 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.Google ScholarCross Ref
Index Terms
- Parallel Simulation of the Aerodynamic Characteristics of a Blunt Cone in Multiple Flow Regimes
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