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Volumn 27, Issue 1, 2008, Pages 62-74

Numerical solutions of the Boltzmann equation: comparison of different algorithms

Author keywords

Boltzmann equation; Numerical methods

Indexed keywords

ALGORITHMS; GASES; MOLECULAR DYNAMICS; MONTE CARLO METHODS; SHOCK WAVES;

EID: 36549016542     PISSN: 09977546     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechflu.2007.04.001     Document Type: Article
Times cited : (28)

References (23)
  • 1
    • 36549002983 scopus 로고    scopus 로고
    • J.M. Reese, Burnett predictions of hypersonic rarefied gas shockstructure: comparison of theory with experiment, in: Proc. 21st ISSW, Australia, 1997
  • 2
    • 36548999125 scopus 로고    scopus 로고
    • I.A. Graur, T.G. Elizarova, J.C. Lengrand, Calculation of shock structure based on QGD model with multiple translational temperatures, in: Proc. 21st ISSW, Australia, 1997
  • 3
    • 0002490664 scopus 로고
    • A review of the kinetic detail required for accurate predictions of normal shock waves
    • Beylich A.E. (Ed), VCH
    • Muntz E.P., Erwin D.A., and Pham-Van-Diep G.C. A review of the kinetic detail required for accurate predictions of normal shock waves. In: Beylich A.E. (Ed). Proc. XVII RGD Symp. (1991), VCH 198-206
    • (1991) Proc. XVII RGD Symp. , pp. 198-206
    • Muntz, E.P.1    Erwin, D.A.2    Pham-Van-Diep, G.C.3
  • 4
    • 36549056376 scopus 로고    scopus 로고
    • Shock tube of the IFTR, Prace IPPT 47/1976, 1976 (in Polish)
  • 5
    • 2142824759 scopus 로고
    • Shock front thickness measurements by an electron beam technique
    • Ballard H.S., and Venable D. Shock front thickness measurements by an electron beam technique. Phys. Fluids 1 3 (1958) 225-229
    • (1958) Phys. Fluids , vol.1 , Issue.3 , pp. 225-229
    • Ballard, H.S.1    Venable, D.2
  • 6
    • 36549077497 scopus 로고    scopus 로고
    • W. Fiszdon, R. Herczynski, Z. Walenta, The structure of a plane shock wave of a monoatomic gas. Theory and experiment, in: Proc. IX RGD Symp., Goettingen, 1974
  • 9
    • 0002463145 scopus 로고
    • The statistical method of particles in cells for the solution of problems of the dynamics of a rarefied gas, Part I
    • Yanitskiy V.E., and Belotserkovskiy O.M. The statistical method of particles in cells for the solution of problems of the dynamics of a rarefied gas, Part I. Zh. Vychisl. Mat. Mat. Fiz. 15 (1975) 1195-1208
    • (1975) Zh. Vychisl. Mat. Mat. Fiz. , vol.15 , pp. 1195-1208
    • Yanitskiy, V.E.1    Belotserkovskiy, O.M.2
  • 10
    • 0036341659 scopus 로고    scopus 로고
    • Time relaxed Monte Carlo methods for the Boltzmann equation
    • Pareschi L., and Russo G. Time relaxed Monte Carlo methods for the Boltzmann equation. SIAM J. Sci. Comput. 23 (2001) 1252-1272
    • (2001) SIAM J. Sci. Comput. , vol.23 , pp. 1252-1272
    • Pareschi, L.1    Russo, G.2
  • 11
    • 22244433533 scopus 로고    scopus 로고
    • Numerical solution of the Boltzmann equation by Time Relaxed Monte Carlo (TRMC) methods
    • Pareschi L., and Trazzi S. Numerical solution of the Boltzmann equation by Time Relaxed Monte Carlo (TRMC) methods. Int. J. Numer. Methods Fluids 48 (2005) 947-983
    • (2005) Int. J. Numer. Methods Fluids , vol.48 , pp. 947-983
    • Pareschi, L.1    Trazzi, S.2
  • 12
    • 0009997954 scopus 로고    scopus 로고
    • A recursive Monte Carlo method for the Boltzmann equation in the Maxwellian case
    • Pareschi L., and Wennberg B. A recursive Monte Carlo method for the Boltzmann equation in the Maxwellian case. Monte Carlo Methods Appl. 7 (2001) 349-358
    • (2001) Monte Carlo Methods Appl. , vol.7 , pp. 349-358
    • Pareschi, L.1    Wennberg, B.2
  • 13
    • 34347246162 scopus 로고    scopus 로고
    • An introduction to the numerical analysis of the Boltzmann equation
    • Pareschi L., and Russo G. An introduction to the numerical analysis of the Boltzmann equation. Rov. Mat. Univ. Parma 7 4 (2005) 145-250
    • (2005) Rov. Mat. Univ. Parma , vol.7 , Issue.4 , pp. 145-250
    • Pareschi, L.1    Russo, G.2
  • 15
    • 0008492827 scopus 로고    scopus 로고
    • A consistency result for discrete velocity model of the Boltzmann equation
    • Palczewski A., Schneider J., and Bobylev A.V. A consistency result for discrete velocity model of the Boltzmann equation. SIAM J. Numer. Anal. 34 (1997) 1865-1883
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 1865-1883
    • Palczewski, A.1    Schneider, J.2    Bobylev, A.V.3
  • 16
    • 0034159499 scopus 로고    scopus 로고
    • An acceleration procedure for discrete velocity approximation of the Boltzmann collision operator
    • Płatkowski T., and Waluś W. An acceleration procedure for discrete velocity approximation of the Boltzmann collision operator. Comp. Math. Appl. 39 (2000) 151-163
    • (2000) Comp. Math. Appl. , vol.39 , pp. 151-163
    • Płatkowski, T.1    Waluś, W.2
  • 18
    • 0001752597 scopus 로고    scopus 로고
    • Numerical solution of the Boltzmann equation I: spectrally accurate approximation of the collisional operator
    • Pareschi L., and Russo G. Numerical solution of the Boltzmann equation I: spectrally accurate approximation of the collisional operator. SIAM J. Numer. Anal. 37 (2000) 1217-1245
    • (2000) SIAM J. Numer. Anal. , vol.37 , pp. 1217-1245
    • Pareschi, L.1    Russo, G.2
  • 19
    • 0037431128 scopus 로고    scopus 로고
    • High order numerical methods for the space non-homogeneous Boltzmann equation
    • Filbet F., and Russo G. High order numerical methods for the space non-homogeneous Boltzmann equation. J. Comput. Phys. 186 (2003) 457-480
    • (2003) J. Comput. Phys. , vol.186 , pp. 457-480
    • Filbet, F.1    Russo, G.2
  • 20
    • 36549065501 scopus 로고    scopus 로고
    • A. Heintz, P. Kowalczyk, R. Grzibovskis, Fast numerical method for the Boltzmann equation on non-uniform grids, Preprint 2004:22, Chalmers University of Technology and Göteborg University, Göteborg, 2004
  • 21
    • 3142776518 scopus 로고
    • On the fast Fourier transform of functions with singularities
    • Beylkin G. On the fast Fourier transform of functions with singularities. Appl. Comput. Harmon. Anal. 2 (1995) 363-381
    • (1995) Appl. Comput. Harmon. Anal. , vol.2 , pp. 363-381
    • Beylkin, G.1
  • 22
    • 33750849491 scopus 로고    scopus 로고
    • Fast algorithms for computing the Boltzmann collision operator
    • Mouhot C., and Pareschi L. Fast algorithms for computing the Boltzmann collision operator. Math. Comp. 75 (2006) 1833-1852
    • (2006) Math. Comp. , vol.75 , pp. 1833-1852
    • Mouhot, C.1    Pareschi, L.2
  • 23
    • 0002463144 scopus 로고
    • The statistical method of particles in cells for the solution of problems of the dynamics of a rarefied gas, Part II
    • Yanitskiy V.E., and Belotserkovskiy O.M. The statistical method of particles in cells for the solution of problems of the dynamics of a rarefied gas, Part II. Zh. Vychisl. Mat. Mat. Fiz. 15 (1975) 1553-1567
    • (1975) Zh. Vychisl. Mat. Mat. Fiz. , vol.15 , pp. 1553-1567
    • Yanitskiy, V.E.1    Belotserkovskiy, O.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.