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Volumn , Issue , 2008, Pages

High-order discontinuous Galerkin method for boltzmann model equations

Author keywords

[No Author keywords available]

Indexed keywords

DISTRIBUTION FUNCTIONS; FINITE VOLUME METHOD; HEAT TRANSFER; KINETIC THEORY OF GASES; NUMERICAL METHODS; PLATES (STRUCTURAL COMPONENTS); RUNGE KUTTA METHODS; SHOCK WAVES;

EID: 78049371524     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2008-4256     Document Type: Conference Paper
Times cited : (9)

References (19)
  • 1
    • 0030161771 scopus 로고    scopus 로고
    • Efficient implementation ofweighted essentially non-oscillatory schemes
    • Jiang, G. and Shu, C.W., "Efficient Implementation ofWeighted Essentially Non-Oscillatory Schemes," J. Computational Physics, Vol. 126, 1996, pp. 202-228.
    • (1996) J. Computational Physics , vol.126 , pp. 202-228
    • Jiang, G.1    Shu, C.W.2
  • 2
    • 0037431197 scopus 로고    scopus 로고
    • Resolution of high order WENO schemes for complicated flow structures
    • Shi, J., Zhang, Y.-T., and Shu, C. W., "Resolution of high order WENO schemes for complicated flow structures," J. Comput. Phys., Vol. 186, No. 2, 2003, pp. 690-696.
    • (2003) J. Comput. Phys. , vol.186 , Issue.2 , pp. 690-696
    • Shi, J.1    Zhang, Y.-T.2    Shu, C.W.3
  • 3
    • 1942539316 scopus 로고    scopus 로고
    • A quantitative comparison of numerical methods for the compressible Euler equations: Fifth-order WENO and piecewise-linear Godunov
    • Greenough, J. A. and Rider, W. J., "A quantitative comparison of numerical methods for the compressible Euler equations: fifth-order WENO and piecewise-linear Godunov," J. Comput. Phys., Vol. 196, No. 1, 2004, pp. 259-281.
    • (2004) J. Comput. Phys. , vol.196 , Issue.1 , pp. 259-281
    • Greenough, J.A.1    Rider, W.J.2
  • 4
    • 0037365257 scopus 로고    scopus 로고
    • Hypersonic aerodynamic heating prediction using weighted essentially nonoscillatory schemes
    • Lee, T., Zhong, X., Gong, L., and Quinn, R., "Hypersonic Aerodynamic Heating Prediction Using Weighted Essentially Nonoscillatory Schemes," J. of Spacecraft and Rockets, Vol. 40, No. 2, 2003, pp. 294-298.
    • (2003) J. of Spacecraft and Rockets , vol.40 , Issue.2 , pp. 294-298
    • Lee, T.1    Zhong, X.2    Gong, L.3    Quinn, R.4
  • 5
    • 33644542461 scopus 로고    scopus 로고
    • 2D semiconductor device simulations by WENO-Boltzmann schemes: Efficiency, boundary conditions and comparison to Monte Carlo methods
    • Carrillo, J., Gamba, I., Majorana, A., and Shu, C., "2D semiconductor device simulations by WENO-Boltzmann schemes: efficiency, boundary conditions and comparison to Monte Carlo methods," J. Comput. Phys., Vol. 214, No. 1, 2006, pp. 55-80.
    • (2006) J. Comput. Phys. , vol.214 , Issue.1 , pp. 55-80
    • Carrillo, J.1    Gamba, I.2    Majorana, A.3    Shu, C.4
  • 6
    • 7544220935 scopus 로고    scopus 로고
    • Numerical comparison of WENO finite volume and runge-kutta discontinuous galerkin methods
    • Zhou, T., Li, Y., and Shu, C. W., "Numerical Comparison of WENO Finite Volume and Runge-Kutta Discontinuous Galerkin Methods," J Sci. Computing, Vol. 16, No. 2, 2001, pp. 145-171.
    • (2001) J Sci. Computing , vol.16 , Issue.2 , pp. 145-171
    • Zhou, T.1    Li, Y.2    Shu, C.W.3
  • 7
    • 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., and Krook, M., "A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems," Phys. Rev., Vol. 94, No. 3, 1954, pp. 511-525.
    • (1954) Phys. Rev. , vol.94 , Issue.3 , pp. 511-525
    • Bhatnagar, P.L.1    Gross, E.P.2    Krook, M.3
  • 9
    • 36849103573 scopus 로고
    • Evaluation of two statistical models using the shock structure problem
    • Giddens, D. P., Huang, A. B., and Young, V. Y. C., "Evaluation of Two Statistical Models Using the Shock Structure Problem," Physics of Fluids, Vol. 14, No. 12, 1971, pp. 2645-2651.
    • (1971) Physics of Fluids , vol.14 , Issue.12 , pp. 2645-2651
    • Giddens, D.P.1    Huang, A.B.2    Young, V.Y.C.3
  • 10
    • 84958443216 scopus 로고
    • Study of rarefied shear flow by the discrete velocity method
    • Broadwell, J. E., "Study of rarefied shear flow by the discrete velocity method," J. Fluid Mech., Vol. 19, 1964, pp. 401-414.
    • (1964) J. Fluid Mech. , vol.19 , pp. 401-414
    • Broadwell, J.E.1
  • 11
    • 0037812320 scopus 로고    scopus 로고
    • Discrete velocity models and numerical schemes for the boltzmann-BGK Equation in plane and Ax- isymmetric geometries
    • Mieussens, L., "Discrete Velocity Models and Numerical Schemes for the Boltzmann-BGK Equation in Plane and Ax- isymmetric Geometries," J. Comp. Phys., Vol. 162, 2000, pp. 429-466.
    • (2000) J. Comp. Phys. , vol.162 , pp. 429-466
    • Mieussens, L.1
  • 13
    • 0002718851 scopus 로고    scopus 로고
    • An introduction to the discontinuous Galerkin method for convection-dominated problems
    • edited by T. B. Deconink, Vol. 9 of Lecture Notes in Comput. Sci. Eng. Springer-Verlag
    • Cockburn, B., "An introduction to the discontinuous Galerkin method for convection-dominated problems," High-Order Methods for Computational Physics, edited by T. B. Deconink, Vol. 9 of Lecture Notes in Comput. Sci. Eng., Springer-Verlag, 1999, pp. 69-224.
    • (1999) High-order Methods for Computational Physics , pp. 69-224
    • Cockburn, B.1
  • 14
    • 45449125925 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock- capturing schemes
    • Shu, C.-W. and Osher, S., "Efficient implementation of essentially non-oscillatory shock- capturing schemes," J. Comput. Phys, Vol. 77, 1988, pp. 439-471.
    • (1988) J. Comput. Phys , vol.77 , pp. 439-471
    • Shu, C.-W.1    Osher, S.2
  • 15
    • 36449001683 scopus 로고
    • Slip effects in a confined rarefied gas. I: Temperature slip
    • Wadsworth, D., "Slip effects in a confined rarefied gas. I: Temperature slip," Phys. Fluids, Vol. 5, 1993, pp. 1831.
    • (1993) Phys. Fluids , vol.5 , pp. 1831
    • Wadsworth, D.1
  • 16
    • 4344655784 scopus 로고    scopus 로고
    • Numerical comparisons of Bhatnagar-Gross-Krook models with proper Prandtl number
    • BGK
    • Mieussens, L. and Struchtrup, H., "Numerical comparisons of Bhatnagar-Gross-Krook models with proper Prandtl number," Phys. Fluids, Vol. 16, No. 8, 2004, pp. 2797-2813, BGK.
    • (2004) Phys. Fluids , vol.16 , Issue.8 , pp. 2797-2813
    • Mieussens, L.1    Struchtrup, H.2
  • 18
    • 0001052889 scopus 로고
    • Nonequilibrium gas flows. I: A detailed validation of Monte Carlo direct simulation for monatomic gases
    • Erwin, D. A., Pham-Van-Diep, G. C., and Muntz, E. P., "Nonequilibrium gas flows. I: A detailed validation of Monte Carlo direct simulation for monatomic gases," Phys. Fluids A, Vol. 3, No. 4, 1991, pp. 697-705.
    • (1991) Phys. Fluids A , vol.3 , Issue.4 , pp. 697-705
    • Erwin, D.A.1    Pham-Van-Diep, G.C.2    Muntz, E.P.3
  • 19
    • 0041604323 scopus 로고
    • Temperature overshoot in shock waves
    • Yen, S.-M., "Temperature Overshoot in Shock Waves," Phys. Fluids, Vol. 9, 1966, pp. 1417-1418.
    • (1966) Phys. Fluids , vol.9 , pp. 1417-1418
    • Yen, S.-M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.