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Volumn 225, Issue 1, 2007, Pages 263-283

A computational strategy for the regularized 13 moment equations with enhanced wall-boundary conditions

Author keywords

Couette flow; Finite volume method; Method of moments; Microfluidics; Rarefied gas dynamics; Temperature jump; Velocity slip; Wall boundary conditions

Indexed keywords

BOUNDARY CONDITIONS; DISTRIBUTION FUNCTIONS; FLOW OF GASES; GAS DYNAMICS; GASES; HEAT FLUX; METHOD OF MOMENTS; MONTE CARLO METHODS; NAVIER STOKES EQUATIONS; NUMERICAL METHODS; POLYNOMIALS;

EID: 34447290688     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.11.032     Document Type: Article
Times cited : (122)

References (41)
  • 2
    • 36549094315 scopus 로고
    • Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard sphere molecules
    • Ohwada T., Sone Y., and Aoki K. Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard sphere molecules. Phys. Fluids A 1 (1989) 2042-2049
    • (1989) Phys. Fluids A , vol.1 , pp. 2042-2049
    • Ohwada, T.1    Sone, Y.2    Aoki, K.3
  • 5
    • 0032632334 scopus 로고    scopus 로고
    • The fluid mechanics of microdevices - the freeman scholar lecture
    • Gad-el-Hak M. The fluid mechanics of microdevices - the freeman scholar lecture. J. Fluids Eng. 121 (1999) 5-33
    • (1999) J. Fluids Eng. , vol.121 , pp. 5-33
    • Gad-el-Hak, M.1
  • 7
    • 84980081651 scopus 로고
    • On the kinetic theory of rarefied gases
    • Grad H. On the kinetic theory of rarefied gases. Commun. Pure Appl. Math. 2 (1949) 331-407
    • (1949) Commun. Pure Appl. Math. , vol.2 , pp. 331-407
    • Grad, H.1
  • 8
    • 0001351025 scopus 로고
    • Asymptotic theory of the Boltzmann equation
    • Grad H. Asymptotic theory of the Boltzmann equation. Phys. Fluids 6 (1963) 147-181
    • (1963) Phys. Fluids , vol.6 , pp. 147-181
    • Grad, H.1
  • 9
    • 0000340720 scopus 로고
    • Extending hydrodynamics via regularization of Chapman-Enskog solution
    • Rosenau P. Extending hydrodynamics via regularization of Chapman-Enskog solution. Phys. Rev. A 40 (1989) 7193-7196
    • (1989) Phys. Rev. A , vol.40 , pp. 7193-7196
    • Rosenau, P.1
  • 10
    • 0027607531 scopus 로고
    • Stabilization of the Burnett equations and application to hypersonic flows
    • Zhong X., MacCormack R.W., and Chapman D.R. Stabilization of the Burnett equations and application to hypersonic flows. AIAA J. 31 (1993) 1036-1043
    • (1993) AIAA J. , vol.31 , pp. 1036-1043
    • Zhong, X.1    MacCormack, R.W.2    Chapman, D.R.3
  • 11
    • 0035477840 scopus 로고    scopus 로고
    • Beyond Navier-Stokes: Burnett equations for flows in the continuum-transition regime
    • Agarwal R.K., Yun K.Y., and Balakrishnan R. Beyond Navier-Stokes: Burnett equations for flows in the continuum-transition regime. Phys. Fluids 13 (2001) 3061-3085
    • (2001) Phys. Fluids , vol.13 , pp. 3061-3085
    • Agarwal, R.K.1    Yun, K.Y.2    Balakrishnan, R.3
  • 12
    • 84980082802 scopus 로고
    • The profile of steady plane shock wave
    • Grad H. The profile of steady plane shock wave. Commun. Pure Appl. Math. 5 (1952) 257-300
    • (1952) Commun. Pure Appl. Math. , vol.5 , pp. 257-300
    • Grad, H.1
  • 13
    • 0141649317 scopus 로고    scopus 로고
    • Regularization of Grad's 13 moment equations: Derivation and linear analysis
    • Struchtrup H., and Torrilhon M. Regularization of Grad's 13 moment equations: Derivation and linear analysis. Phys. Fluids 15 (2003) 2668-2680
    • (2003) Phys. Fluids , vol.15 , pp. 2668-2680
    • Struchtrup, H.1    Torrilhon, M.2
  • 14
    • 8844265401 scopus 로고    scopus 로고
    • Stable transport equations for rarefied gases at high orders in the Knudsen number
    • Struchtrup H. Stable transport equations for rarefied gases at high orders in the Knudsen number. Phys. Fluids 16 (2004) 3921-3934
    • (2004) Phys. Fluids , vol.16 , pp. 3921-3934
    • Struchtrup, H.1
  • 15
    • 4344625074 scopus 로고    scopus 로고
    • Derivation of 13 moment equations for rarefied gas flow to second order accuracy for arbitrary interaction potentials
    • Struchtrup H. Derivation of 13 moment equations for rarefied gas flow to second order accuracy for arbitrary interaction potentials. Multiscale Model. Simul. 3 (2005) 221-243
    • (2005) Multiscale Model. Simul. , vol.3 , pp. 221-243
    • Struchtrup, H.1
  • 16
    • 0035536415 scopus 로고    scopus 로고
    • Regularization of the Burnett equations via relaxation
    • Jin S., and Slemrod M. Regularization of the Burnett equations via relaxation. J. Stat. Phys. 103 (2001) 1009-1033
    • (2001) J. Stat. Phys. , vol.103 , pp. 1009-1033
    • Jin, S.1    Slemrod, M.2
  • 18
    • 4344687139 scopus 로고    scopus 로고
    • Regularized 13 moment equations: Shock structure calculations and comparison to Burnett models
    • Torrilhon M., and Struchtrup H. Regularized 13 moment equations: Shock structure calculations and comparison to Burnett models. J. Fluid Mech. 513 (2004) 171-198
    • (2004) J. Fluid Mech. , vol.513 , pp. 171-198
    • Torrilhon, M.1    Struchtrup, H.2
  • 20
    • 0000911805 scopus 로고
    • On stresses in rarified gases arising from inequalities of temperature
    • Maxwell J.C. On stresses in rarified gases arising from inequalities of temperature. Phil. Trans. Roy. Soc. (Lond.) 170 (1879) 231-256
    • (1879) Phil. Trans. Roy. Soc. (Lond.) , vol.170 , pp. 231-256
    • Maxwell, J.C.1
  • 23
    • 40749159424 scopus 로고
    • High-resolution schemes for hyperbolic conservation-laws
    • Harten A. High-resolution schemes for hyperbolic conservation-laws. J. Comput. Phys. 49 (1983) 357-393
    • (1983) J. Comput. Phys. , vol.49 , pp. 357-393
    • Harten, A.1
  • 24
    • 0040683714 scopus 로고    scopus 로고
    • Convex ENO high order multi-dimensional schemes without field by field decomposition or staggered grids
    • Liu X.D., and Osher S. Convex ENO high order multi-dimensional schemes without field by field decomposition or staggered grids. J. Comput. Phys. 142 (1998) 304-330
    • (1998) J. Comput. Phys. , vol.142 , pp. 304-330
    • Liu, X.D.1    Osher, S.2
  • 25
    • 0141641004 scopus 로고    scopus 로고
    • A relaxation scheme for solving the Boltzmann equation based on the Chapman-Enskog expansion
    • Jin S., Pareshi L., and Slemrod M. A relaxation scheme for solving the Boltzmann equation based on the Chapman-Enskog expansion. Acta Math. Appl. Sinica 18 (2002) 37-62
    • (2002) Acta Math. Appl. Sinica , vol.18 , pp. 37-62
    • Jin, S.1    Pareshi, L.2    Slemrod, M.3
  • 27
    • 0034346634 scopus 로고    scopus 로고
    • Temperature jump and velocity slip in the moment method
    • Struchtrup H., and Weiss W. Temperature jump and velocity slip in the moment method. Continuum Mech. Thermodyn. 12 (2000) 1-18
    • (2000) Continuum Mech. Thermodyn. , vol.12 , pp. 1-18
    • Struchtrup, H.1    Weiss, W.2
  • 28
    • 0000614290 scopus 로고
    • Numerical evaluation of the slip coefficient
    • Albertoni S., Cercignani C., and Gotusso L. Numerical evaluation of the slip coefficient. Phys. Fluids 6 (1963) 993-996
    • (1963) Phys. Fluids , vol.6 , pp. 993-996
    • Albertoni, S.1    Cercignani, C.2    Gotusso, L.3
  • 29
    • 0000752046 scopus 로고
    • Some numerical results for BGK model: thermal creep and viscous slip problems with arbitrary accommodation at the surface
    • Loyalka S.K., Petrellis N., and Storvick T.S. Some numerical results for BGK model: thermal creep and viscous slip problems with arbitrary accommodation at the surface. Phys. Fluids 18 (1975) 1094-1099
    • (1975) Phys. Fluids , vol.18 , pp. 1094-1099
    • Loyalka, S.K.1    Petrellis, N.2    Storvick, T.S.3
  • 31
    • 0000045708 scopus 로고
    • Comparison of kinetic theory analyses of linearized heat transfer between parallel plates
    • Bassanini P., Cercignani C., and Pagni C.D. Comparison of kinetic theory analyses of linearized heat transfer between parallel plates. Int. J. Heat Mass Transfer 10 (1967) 447
    • (1967) Int. J. Heat Mass Transfer , vol.10 , pp. 447
    • Bassanini, P.1    Cercignani, C.2    Pagni, C.D.3
  • 33
    • 0037670515 scopus 로고    scopus 로고
    • High-resolution Burnett simulations of micro Couette flow and heat transfer
    • Lockerby D.A., and Reese J.M. High-resolution Burnett simulations of micro Couette flow and heat transfer. J. Comput. Phys. 188 (2003) 333-347
    • (2003) J. Comput. Phys. , vol.188 , pp. 333-347
    • Lockerby, D.A.1    Reese, J.M.2
  • 34
    • 0035806963 scopus 로고    scopus 로고
    • Analysis of micro-Couette flow using the Burnett equations
    • Xue H., Ji H.M., and Shu C. Analysis of micro-Couette flow using the Burnett equations. Int. J. Heat Mass Transfer 44 (2001) 4139-4146
    • (2001) Int. J. Heat Mass Transfer , vol.44 , pp. 4139-4146
    • Xue, H.1    Ji, H.M.2    Shu, C.3
  • 37
    • 0018480361 scopus 로고
    • A stable and accurate convection modelling procedure based on quadratic upstream interpolation
    • Leonard B.P. A stable and accurate convection modelling procedure based on quadratic upstream interpolation. Comput. Mech. Appl. Mech. Eng. 19 (1979) 59-98
    • (1979) Comput. Mech. Appl. Mech. Eng. , vol.19 , pp. 59-98
    • Leonard, B.P.1
  • 38
    • 0024165638 scopus 로고
    • Curvature-compensated convective-transport - SMART, A new boundedness-preserving transport algorithm
    • Gaskell P.H., and Lau A.K.C. Curvature-compensated convective-transport - SMART, A new boundedness-preserving transport algorithm. Int. J. Numer. Meth. Fluids 8 (1988) 617-641
    • (1988) Int. J. Numer. Meth. Fluids , vol.8 , pp. 617-641
    • Gaskell, P.H.1    Lau, A.K.C.2
  • 39
    • 0037428347 scopus 로고    scopus 로고
    • A convergent and universally bounded interpolation scheme for the treatment of advection
    • Alves M.A., Oliveira P.J., and Pinho F.T. A convergent and universally bounded interpolation scheme for the treatment of advection. Int. J. Numer. Meth. Fluids 41 (2003) 47-75
    • (2003) Int. J. Numer. Meth. Fluids , vol.41 , pp. 47-75
    • Alves, M.A.1    Oliveira, P.J.2    Pinho, F.T.3
  • 41
    • 0020844260 scopus 로고
    • Numerical study of turbulent flow past an airfoil with trailing edge separation
    • Rhie C.M., and Chow W.L. Numerical study of turbulent flow past an airfoil with trailing edge separation. AIAA J. 21 (1983) 1525-1532
    • (1983) AIAA J. , vol.21 , pp. 1525-1532
    • Rhie, C.M.1    Chow, W.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.