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Volumn 35, Issue 1-2, 1998, Pages 29-40

Discretization and numerical schemes for steady kinetic model equations

Author keywords

Numerical schemes; Steady kinetic equation

Indexed keywords

COMPUTER SIMULATION; GAME THEORY; KINETIC THEORY OF GASES; MATHEMATICAL MODELS; MONTE CARLO METHODS; NUMERICAL METHODS; STEADY FLOW; TURBULENCE;

EID: 0031635067     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0898-1221(97)00256-3     Document Type: Article
Times cited : (8)

References (19)
  • 1
    • 0040624955 scopus 로고
    • Mathematical models in rarefied gas dynamics
    • C. Cercignani, Mathematical models in rarefied gas dynamics, Surv. Math. Ind. 1, 119-143 (1991).
    • (1991) Surv. Math. Ind. , vol.1 , pp. 119-143
    • Cercignani, C.1
  • 3
    • 0003154845 scopus 로고
    • A convergence proof for Nanbu's Boltzmann simulation scheme
    • H. Babovsky, A convergence proof for Nanbu's Boltzmann simulation scheme, Eur. J. Mech., B/Fluids 8, 41-55 (1989).
    • (1989) Eur. J. Mech., B/Fluids , vol.8 , pp. 41-55
    • Babovsky, H.1
  • 4
    • 0001796378 scopus 로고
    • A convergence proof for Nanbu's simulation method for the full Boltzmann equation
    • H. Babovsky and R. Illner, A convergence proof for Nanbu's simulation method for the full Boltzmann equation, SIAM Journ. Num. Anal. 26, 45-64 (1989).
    • (1989) SIAM Journ. Num. Anal. , vol.26 , pp. 45-64
    • Babovsky, H.1    Illner, R.2
  • 5
    • 0038929207 scopus 로고
    • Systematic errors in stationary Boltzmann simulation schemes
    • (Edited by B. Shizgal and D. Weaver), Washington
    • H. Babovsky, Systematic errors in stationary Boltzmann simulation schemes, In Rarefied Gas Dynamics: Theory and Simulations, (Edited by B. Shizgal and D. Weaver), pp. 174-182, Washington, (1994).
    • (1994) Rarefied Gas Dynamics: Theory and Simulations , pp. 174-182
    • Babovsky, H.1
  • 6
    • 0041718690 scopus 로고    scopus 로고
    • Monte Carlo simulation of a channel flow of a rarefied gas
    • to appear
    • S. Stefanov and C. Cercignani, Monte Carlo simulation of a channel flow of a rarefied gas, Eur. J. Mech. B/Fluids (to appear).
    • Eur. J. Mech. B/Fluids
    • Stefanov, S.1    Cercignani, C.2
  • 7
    • 0043221319 scopus 로고
    • On a stochastic simulation method for fluctuating hydrodynamics
    • H.P. Breuer and F. Petruccione, On a stochastic simulation method for fluctuating hydrodynamics, Transp. Theory Stat. Phys. 23, 265-279 (1994).
    • (1994) Transp. Theory Stat. Phys. , vol.23 , pp. 265-279
    • Breuer, H.P.1    Petruccione, F.2
  • 8
    • 0043221321 scopus 로고
    • Computation of viscous incompressible flows
    • Hamburg
    • R. Rannacher, Computation of viscous incompressible flows, Talk presented at ICIAM 95, Hamburg, (1995).
    • (1995) ICIAM 95
    • Rannacher, R.1
  • 9
    • 0001291566 scopus 로고    scopus 로고
    • Numerical analysis of a rarefied gas flow past a flat plate
    • K. Aoki, K. Kanba and S. Takata, Numerical analysis of a rarefied gas flow past a flat plate, Phys. Fluids 9, 1144-1161 (1997).
    • (1997) Phys. Fluids , vol.9 , pp. 1144-1161
    • Aoki, K.1    Kanba, K.2    Takata, S.3
  • 10
    • 0021294084 scopus 로고
    • Initial and boundary value problems in kinetic theory I, II
    • H. Babovsky, Initial and boundary value problems in kinetic theory I, II, Transp. Theory. Stat. Phys. 13, 455-497 (1984).
    • (1984) Transp. Theory. Stat. Phys. , vol.13 , pp. 455-497
    • Babovsky, H.1
  • 11
    • 0040943239 scopus 로고
    • The Boltzmann equation, I: Uniqueness and local existence
    • S. Kaniel and M. Shinbrot, The Boltzmann equation, I: Uniqueness and local existence, Comm. Math. Phys. 59, 65-84 (1978).
    • (1978) Comm. Math. Phys. , vol.59 , pp. 65-84
    • Kaniel, S.1    Shinbrot, M.2
  • 13
    • 0024018036 scopus 로고
    • Discrete velocity models of the Boltzmann equation: A survey on the mathematical aspects of the theory
    • R. Illner and T. Platkowski, Discrete velocity models of the Boltzmann equation: A survey on the mathematical aspects of the theory, SIAM Review 30, 213-255 (1988).
    • (1988) SIAM Review , vol.30 , pp. 213-255
    • Illner, R.1    Platkowski, T.2
  • 14
    • 0040347813 scopus 로고
    • A direct method for solving the Boltzmann equation
    • F. Rogier and J. Schneider, A direct method for solving the Boltzmann equation, Transp. Theory Stat. Phys. 23, 313-338 (1994).
    • (1994) Transp. Theory Stat. Phys. , vol.23 , pp. 313-338
    • Rogier, F.1    Schneider, J.2
  • 17
    • 0022593645 scopus 로고
    • On a simulation scheme for the Boltzmann equation
    • H. Babovsky, On a simulation scheme for the Boltzmann equation, Math. Meth. in the Appl. Sci. 8, 223-233 (1986).
    • (1986) Math. Meth. in the Appl. Sci. , vol.8 , pp. 223-233
    • Babovsky, H.1
  • 18
    • 0008031464 scopus 로고
    • Conservation of expected momentum and energy in Monte Carlo particle simulation
    • C. Greengard and L. Reyna, Conservation of expected momentum and energy in Monte Carlo particle simulation, Physics of Fluids A 4, 849-852 (1992).
    • (1992) Physics of Fluids A , vol.4 , pp. 849-852
    • Greengard, C.1    Reyna, L.2
  • 19
    • 0041718718 scopus 로고    scopus 로고
    • A constructive approach to steady nonlinear kinetic equations
    • to appear
    • H. Babovsky, A constructive approach to steady nonlinear kinetic equations, Journ. Comp. Appl. Math. (to appear).
    • Journ. Comp. Appl. Math.
    • Babovsky, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.