메뉴 건너뛰기




Volumn 62, Issue 4, 2010, Pages 403-427

A hybrid FVM-LBM method for single and multi-fluid compressible flow problems

Author keywords

Compressible flow; Finite volume method; Godunov method; Lattice boltzmann method; Multi fluid flows; Riemann solvers

Indexed keywords

GODUNOV METHOD; LATTICE BOLTZMANN METHOD; MULTI-FLUID FLOW; RIEMANN SOLVER; RIEMANN SOLVERS;

EID: 77950248306     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.2024     Document Type: Article
Times cited : (20)

References (28)
  • 3
    • 0000935267 scopus 로고
    • A finite difference method for the computation of discontinuous solutions of the equations of fluid dynamics
    • Godunov SK. A finite difference method for the computation of discontinuous solutions of the equations of fluid dynamics. Matematicheskii Sbornik 1959; 47:357-393.
    • (1959) Matematicheskii Sbornik , vol.47 , pp. 357-393
    • Godunov, S.K.1
  • 4
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameter vectors and difference schemes
    • Roe P. Approximate Riemann solvers, parameter vectors and difference schemes. Journal of Computational Physics 1981; 43:357-372.
    • (1981) Journal of Computational Physics , vol.43 , pp. 357-372
    • Roe, P.1
  • 5
    • 0001695533 scopus 로고
    • Efficient construction and utilization of approximate Riemann solutions
    • Glowinski R, Lions JL (eds). North-Holland: Amsterdam
    • Roe P, Pike J. Efficient construction and utilization of approximate Riemann solutions. In Computing Methods in Applied Science and Engineering, Glowinski R, Lions JL (eds). North-Holland: Amsterdam, 1984.
    • (1984) Computing Methods in Applied Science and Engineering
    • Roe, P.1    Pike, J.2
  • 6
    • 48749145227 scopus 로고
    • On upstream differencing and Godunov-type schemes for hyperbolic conservation laws
    • Harten A, Lax P, van Leer B. On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. Journal of Computational Physics 1983; 50:235-269.
    • (1983) Journal of Computational Physics , vol.50 , pp. 235-269
    • Harten, A.1    Lax, P.2    van Leer, B.3
  • 7
    • 0003122153 scopus 로고
    • Restoration of the contact surface in the HLL-Riemann solver
    • Toro EF, Spruce M, Spears W. Restoration of the contact surface in the HLL-Riemann solver. Shock Waves 1994; 4:25-34.
    • (1994) Shock Waves , vol.4 , pp. 25-34
    • Toro, E.F.1    Spruce, M.2    Spears, W.3
  • 8
    • 49049151571 scopus 로고
    • Flux vector splitting of the inviscid gasdynamic equations with application to finite difference methods
    • Steger JL, Warming RF. Flux vector splitting of the inviscid gasdynamic equations with application to finite difference methods. Journal of Computational Physics 1981; 40:263-293.
    • (1981) Journal of Computational Physics , vol.40 , pp. 263-293
    • Steger, J.L.1    Warming, R.F.2
  • 9
    • 0020223604 scopus 로고
    • Proceedings of the 8th International Conference on Numerical Methods in Fluid Dynamics, Krause E (ed.). Springer: Berlin
    • van Leer B. Flux vector splitting for the Euler equations, In Proceedings of the 8th International Conference on Numerical Methods in Fluid Dynamics, Krause E (ed.). Springer: Berlin, 1982; 507-512.
    • (1982) Flux vector splitting for the Euler equations , pp. 507-512
    • van Leer, B.1
  • 13
    • 0027628519 scopus 로고
    • Numerical solutions of Euler equations by using a new flux vector splitting scheme
    • Zha GC, Bilgen E. Numerical solutions of Euler equations by using a new flux vector splitting scheme. International Journal for Numerical Methods in Fluids 1993; 17:115-144.
    • (1993) International Journal for Numerical Methods in Fluids , vol.17 , pp. 115-144
    • Zha, G.C.1    Bilgen, E.2
  • 16
    • 77950281441 scopus 로고    scopus 로고
    • M. Tech. Thesis, Department of Mechanical Engineering, Indian Institute of Technology, Bombay
    • Agarwal A. Novel FVM-LBM for compressible Euler equations. M. Tech. Thesis, Department of Mechanical Engineering, Indian Institute of Technology, Bombay, 2007.
    • (2007) Novel FVM-LBM for compressible Euler equations
    • Agarwal, A.1
  • 18
    • 0001164468 scopus 로고    scopus 로고
    • Lattice Boltzmann method for compressible flows with high Mach number
    • Yu H, Zhao K. Lattice Boltzmann method for compressible flows with high Mach number. Physical Review E 2000; 61(4):3867-3870.
    • (2000) Physical Review E , vol.61 , Issue.4 , pp. 3867-3870
    • Yu, H.1    Zhao, K.2
  • 19
    • 0000188679 scopus 로고    scopus 로고
    • Simple lattice Boltzmann model for simulating flows with shock wave
    • Guangwu Y, Yaosong C, Shouxin H. Simple lattice Boltzmann model for simulating flows with shock wave. Physical Review E 1999; 59(1):454-459.
    • (1999) Physical Review E , vol.59 , Issue.1 , pp. 454-459
    • Guangwu, Y.1    Yaosong, C.2    Shouxin, H.3
  • 20
    • 42749098943 scopus 로고    scopus 로고
    • Lattice Boltzmann method for compressible Euler equations
    • Kataoka T, Tsutahara M. Lattice Boltzmann method for compressible Euler equations. Physical Review E 2004; 69:056702.
    • (2004) Physical Review E , vol.69 , pp. 056702
    • Kataoka, T.1    Tsutahara, M.2
  • 21
    • 0038149990 scopus 로고    scopus 로고
    • Simulations of compressible flows with strong shocks by an adaptive lattice Boltzmann model
    • Sun C. Simulations of compressible flows with strong shocks by an adaptive lattice Boltzmann model. Journal of Computational Physics 2000; 161:70-84.
    • (2000) Journal of Computational Physics , vol.161 , pp. 70-84
    • Sun, C.1
  • 23
    • 33947681109 scopus 로고    scopus 로고
    • Alternative method to construct equilibrium distribution functions in lattice-Boltzmann method simulation of inviscid compressible flows at high Mach number
    • Qu K, Shu C, Chew YT. Alternative method to construct equilibrium distribution functions in lattice-Boltzmann method simulation of inviscid compressible flows at high Mach number. Physical Review E 2007; 75:036706.
    • (2007) Physical Review E , vol.75 , pp. 036706
    • Qu, K.1    Shu, C.2    Chew, Y.T.3
  • 26
    • 1842733455 scopus 로고    scopus 로고
    • A thermodynamically consistent and fully conservative treatment of contact discontinuities for compressible multicomponent flows
    • Wang SP, Anderson MH, Oakley JG, Corradini ML, Bonazza R. A thermodynamically consistent and fully conservative treatment of contact discontinuities for compressible multicomponent flows. Journal of Computational Physics 2004; 195:528-559.
    • (2004) Journal of Computational Physics , vol.195 , pp. 528-559
    • Wang, S.P.1    Anderson, M.H.2    Oakley, J.G.3    Corradini, M.L.4    Bonazza, R.5
  • 27
    • 0001528721 scopus 로고    scopus 로고
    • Solution of two-dimensional Riemann problems of gas dynamics by positive schemes
    • Lax PD, Liu XD. Solution of two-dimensional Riemann problems of gas dynamics by positive schemes. SIAM Journal on Scientific Computing 1998; 19(2):319-340.
    • (1998) SIAM Journal on Scientific Computing , vol.19 , Issue.2 , pp. 319-340
    • Lax, P.D.1    Liu, X.D.2
  • 28
    • 0003040345 scopus 로고
    • Computation of shock wave diffraction at a ninety degrees convex edge
    • Hillier R. Computation of shock wave diffraction at a ninety degrees convex edge. Shock Waves 1991; 1:89-98.
    • (1991) Shock Waves , vol.1 , pp. 89-98
    • Hillier, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.