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Volumn 230, Issue 14, 2011, Pages 5660-5683

A hybrid method for hydrodynamic-kinetic flow Part I: A particle-grid method for reducing stochastic noise in kinetic regimes

Author keywords

Monte Carlo method; Numerical methods for kinetic flows; Particle grid method

Indexed keywords

BOLTZMANN EQUATION; KINETICS; MONTE CARLO METHODS; STOCHASTIC SYSTEMS;

EID: 79955733934     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2011.03.047     Document Type: Article
Times cited : (4)

References (35)
  • 1
    • 85189837191 scopus 로고    scopus 로고
    • A hybrid method for hydrodynamic-kinetic flow - Part II - Coupling Boltzmann
    • BGK and Euler equations through domain decomposition, in preparation.
    • A. Alaia, G. Puppo, A hybrid method for hydrodynamic-kinetic flow - Part II - Coupling Boltzmann, BGK and Euler equations through domain decomposition, in preparation.
    • Alaia, A.1    Puppo, G.2
  • 2
    • 79955724289 scopus 로고    scopus 로고
    • A Time Dependent Domain Decomposition Method for a Multi-scale Hydrodynamic-Kinetic System of Equations
    • PhD Thesis, Politecnico di Torino,
    • A. Alaia, A Time Dependent Domain Decomposition Method for a Multi-scale Hydrodynamic-Kinetic System of Equations, PhD Thesis, Politecnico di Torino, 2011.
    • (2011)
    • Alaia, A.1
  • 4
    • 0022593645 scopus 로고
    • On a simulation scheme for the Boltzmann equation
    • Babovski H. On a simulation scheme for the Boltzmann equation. Math. Methods Appl. Sci. 1986, 8.
    • (1986) Math. Methods Appl. Sci. , vol.8
    • Babovski, H.1
  • 5
    • 26344468007 scopus 로고
    • A model for collision processes in gases I. Small amplitude processes in charged and neutral one-component systems
    • Bhatnagar P.L., Gross E.P., Krook M. A model for collision processes in gases I. Small amplitude processes in charged and neutral one-component systems. Phys. Rev. 1954, 94.
    • (1954) Phys. Rev. , vol.94
    • Bhatnagar, P.L.1    Gross, E.P.2    Krook, M.3
  • 12
    • 84955049178 scopus 로고
    • The Mathematical Theory of Non-Uniform Gases
    • Chapman S., Cowling T.G. The Mathematical Theory of Non-Uniform Gases. Am. J. Phys. 1962.
    • (1962) Am. J. Phys.
    • Chapman, S.1    Cowling, T.G.2
  • 13
    • 21444454938 scopus 로고    scopus 로고
    • A smooth transition model between kinetic and hydrodinamic equations
    • Degond P., Jin S., Mieussens L. A smooth transition model between kinetic and hydrodinamic equations. J. Comput. Phys. 2005, 209.
    • (2005) J. Comput. Phys. , vol.209
    • Degond, P.1    Jin, S.2    Mieussens, L.3
  • 14
    • 36148988845 scopus 로고    scopus 로고
    • A moving interface method for dynamic kinetic-fluid coupling
    • Degond P., Dimarco G., Mieussens L. A moving interface method for dynamic kinetic-fluid coupling. J. Comput. Phys. 2007, 227.
    • (2007) J. Comput. Phys. , vol.227
    • Degond, P.1    Dimarco, G.2    Mieussens, L.3
  • 15
    • 51149121052 scopus 로고    scopus 로고
    • Hybrid multiscale methods I. Hyperbolic relaxation problems
    • Dimarco G., Pareschi L. Hybrid multiscale methods I. Hyperbolic relaxation problems. Commun. Math. Sci. 2006, 4.
    • (2006) Commun. Math. Sci. , vol.4
    • Dimarco, G.1    Pareschi, L.2
  • 16
    • 55249102480 scopus 로고    scopus 로고
    • Hybrid multiscale Methods II. Kinetic Equations
    • Dimarco G., Pareschi L. Hybrid multiscale Methods II. Kinetic Equations. J. Multiscale Model. Simul. 2008, 6(4):1169-1197.
    • (2008) J. Multiscale Model. Simul. , vol.6 , Issue.4 , pp. 1169-1197
    • Dimarco, G.1    Pareschi, L.2
  • 18
    • 0037431128 scopus 로고    scopus 로고
    • High order numerical methods for the space non-homogeneous Boltzmann equation
    • Filbet F., Russo G. High order numerical methods for the space non-homogeneous Boltzmann equation. J. Comput. Phys. 2003, 186.
    • (2003) J. Comput. Phys. , vol.186
    • Filbet, F.1    Russo, G.2
  • 19
    • 0000383154 scopus 로고    scopus 로고
    • Adaptative mesh and algorithm refinement using direct simulation Monte Carlo
    • Garcia A.L., Bell J.B., Crutchfield W.Y., Alder B.J. Adaptative mesh and algorithm refinement using direct simulation Monte Carlo. J. Comput. Phys. 1999, 154.
    • (1999) J. Comput. Phys. , vol.154
    • Garcia, A.L.1    Bell, J.B.2    Crutchfield, W.Y.3    Alder, B.J.4
  • 23
    • 0037847018 scopus 로고    scopus 로고
    • Discrete velocity model and implicit scheme for the BGK equation of rarefied gas dynamics
    • Mieussens L. Discrete velocity model and implicit scheme for the BGK equation of rarefied gas dynamics. Models Methods Appl. Sci. 2000, 10(8).
    • (2000) Models Methods Appl. Sci. , vol.10 , Issue.8
    • Mieussens, L.1
  • 24
    • 0037812320 scopus 로고    scopus 로고
    • Discrete velocity models and numerical schemes for the Boltzmann-BGK equation in plane and axisymmetric geometries
    • Mieussens L. Discrete velocity models and numerical schemes for the Boltzmann-BGK equation in plane and axisymmetric geometries. J. Comput. Phys. 2000, 162.
    • (2000) J. Comput. Phys. , vol.162
    • Mieussens, L.1
  • 25
    • 4243366477 scopus 로고
    • Direct Simulation scheme derived from the Boltzmann equation I. Monocomponent Gases
    • Nanbu K. Direct Simulation scheme derived from the Boltzmann equation I. Monocomponent Gases. J. Phys. Soc. Jpn. 1980, 49.
    • (1980) J. Phys. Soc. Jpn. , vol.49
    • Nanbu, K.1
  • 26
    • 34347246162 scopus 로고    scopus 로고
    • An introduction to the numerical analysis of the Boltzmann equation
    • Pareschi L., Russo G. An introduction to the numerical analysis of the Boltzmann equation. Riv. Mat. Univ. Parma. 2005.
    • (2005) Riv. Mat. Univ. Parma.
    • Pareschi, L.1    Russo, G.2
  • 27
    • 0003288339 scopus 로고    scopus 로고
    • An introduction to kinetic schemes for gas dynamics
    • Springer, Berlin
    • Perthame B. An introduction to kinetic schemes for gas dynamics. Lecture Notes in Computer Science Engineering 1999, vol. 5. Springer, Berlin.
    • (1999) Lecture Notes in Computer Science Engineering , vol.5
    • Perthame, B.1
  • 28
    • 0009603261 scopus 로고
    • Introduction to the theory of random particle methods for Boltzmann equation
    • World Sci
    • Perthame B. Introduction to the theory of random particle methods for Boltzmann equation. Advances in Kinetic Theory and Computing 1994, World Sci.
    • (1994) Advances in Kinetic Theory and Computing
    • Perthame, B.1
  • 29
    • 34347248072 scopus 로고    scopus 로고
    • Implicit-Explicit schemes for BGK kinetic equations
    • Pieraccini S., Puppo G. Implicit-Explicit schemes for BGK kinetic equations. J. Sci. Comput. 2007, 32.
    • (2007) J. Sci. Comput. , vol.32
    • Pieraccini, S.1    Puppo, G.2
  • 30
    • 34447251045 scopus 로고    scopus 로고
    • A modular particle continuum numerical method for hypersonic non-equilibrium gas flows
    • Schwartzentruber T.E., Scalabrin L.C., Boyd I.D. A modular particle continuum numerical method for hypersonic non-equilibrium gas flows. J. Comput. Phys. 2007, 225.
    • (2007) J. Comput. Phys. , vol.225
    • Schwartzentruber, T.E.1    Scalabrin, L.C.2    Boyd, I.D.3
  • 32
    • 0031623130 scopus 로고    scopus 로고
    • Conservative evaluation of Boltzmann collision integral in discrete ordinates approximation
    • Tcheremissine F.G. Conservative evaluation of Boltzmann collision integral in discrete ordinates approximation. Comput. Math. Appl. 1998, 35:215-221.
    • (1998) Comput. Math. Appl. , vol.35 , pp. 215-221
    • Tcheremissine, F.G.1
  • 33
    • 0000399532 scopus 로고    scopus 로고
    • Coupling of the Boltzmann and Euler equations with automatic domain decomposition
    • Tiwari S. Coupling of the Boltzmann and Euler equations with automatic domain decomposition. J. Comput. Phys. 1998, 144.
    • (1998) J. Comput. Phys. , vol.144
    • Tiwari, S.1
  • 34
    • 0032540143 scopus 로고    scopus 로고
    • An adaptive domain decomposition procedure for Boltzmann and Euler equations
    • Tiwari S., Klar A. An adaptive domain decomposition procedure for Boltzmann and Euler equations. J. Comput. Appl. Math. 1998, 90.
    • (1998) J. Comput. Appl. Math. , vol.90
    • Tiwari, S.1    Klar, A.2


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