메뉴 건너뛰기




Volumn , Issue , 2009, Pages

An analysis of a space-time discontinuous-Galerkin method for moment equations and its solid-boundary treatment

Author keywords

[No Author keywords available]

Indexed keywords

BOLTZMANN EQUATION; BOUNDARY CONDITIONS; COMPUTATIONAL FLUID DYNAMICS; FLOW OF GASES; FOURIER ANALYSIS;

EID: 77958477239     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2009-3874     Document Type: Conference Paper
Times cited : (5)

References (31)
  • 1
    • 84894463126 scopus 로고    scopus 로고
    • Computational fluid dynamics: Science or toolbox?
    • Anaheim, California; USA, AIAA Paper 2001-2520
    • Van Leer, B., "Computational Fluid Dynamics: science or toolbox?" 15th AIAA Computational Fluid Dynamics Conference, Anaheim, California; USA, 2001, AIAA Paper 2001-2520.
    • (2001) 15th AIAA Computational Fluid Dynamics Conference
    • Van Leer, B.1
  • 3
    • 35648956625 scopus 로고    scopus 로고
    • An analysis of the upwind moment scheme and its extension to systems of nonlinear hyperbolic-relaxation equations
    • Miami, Florida; USA, June 25-28, AIAA 2007-4468
    • Suzuki, Y. and Van Leer, B., "An analysis of the upwind moment scheme and its extension to systems of nonlinear hyperbolic-relaxation equations," 18th AIAA Computational Fluid Dynamics Conference, Miami, Florida; USA, June 25-28, 2007, AIAA 2007-4468.
    • (2007) 18th AIAA Computational Fluid Dynamics Conference
    • Suzuki, Y.1    Van Leer, B.2
  • 7
    • 0030194392 scopus 로고    scopus 로고
    • Numerical schemes for hyperbolic conservation laws with stiff relaxation terms
    • Jin, S. and Levermore, C. D., "Numerical schemes for hyperbolic conservation laws with stiff relaxation terms," Journal of Computational Physics, Vol. 126, No. 2, 1996, pp. 449-467.
    • (1996) Journal of Computational Physics , vol.126 , Issue.2 , pp. 449-467
    • Jin, S.1    Levermore, C.D.2
  • 8
    • 0003141624 scopus 로고    scopus 로고
    • Recent results on hyperbolic relaxation problems
    • Monographs and Surveys in Pure and Applied Mathematics, edited by H. Freistühler, Chapman & Hall/CRC, Boca Raton
    • Natalini, R., "Recent results on hyperbolic relaxation problems," Analysis of Systems of Conservation Laws, edited by H. Freistühler, Monographs and Surveys in Pure and Applied Mathematics, Volume 99, Chapman & Hall/CRC, Boca Raton, 1998, pp. 128-198.
    • (1998) Analysis of Systems of Conservation Laws , vol.99 , pp. 128-198
    • Natalini, R.1
  • 9
    • 3343001102 scopus 로고    scopus 로고
    • Asymptotic analysis of the Riemann problem for constant coefficient hyperbolic systems with relaxation
    • Hittinger, J. A. F. and Roe, P. L., "Asymptotic analysis of the Riemann problem for constant coefficient hyperbolic systems with relaxation," Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 84, No. 7, 2004, pp. 452-471.
    • (2004) Zeitschrift für Angewandte Mathematik und Mechanik , vol.84 , Issue.7 , pp. 452-471
    • Hittinger, J.A.F.1    Roe, P.L.2
  • 10
    • 21544449601 scopus 로고
    • Hyperbolic conservation laws with relaxation
    • Liu, T.-P., "Hyperbolic conservation laws with relaxation," Communications in Mathematical Physics, Vol. 108, No. 1, 1987, pp. 153-175.
    • (1987) Communications in Mathematical Physics , vol.108 , Issue.1 , pp. 153-175
    • Liu, T.-P.1
  • 11
    • 0000287554 scopus 로고    scopus 로고
    • Numerical schemes for hyperbolic systems of conservation laws with stiff diffusive relaxation
    • Naldi, G. and Pareschi, L., "Numerical schemes for hyperbolic systems of conservation laws with stiff diffusive relaxation," SIAM Journal on Numerical Analysis, Vol. 37, No. 4, 2000, pp. 1246-1270.
    • (2000) SIAM Journal on Numerical Analysis , vol.37 , Issue.4 , pp. 1246-1270
    • Naldi, G.1    Pareschi, L.2
  • 12
    • 30744436611 scopus 로고    scopus 로고
    • Investigation of the discontinuous Galerkin method for first-order PDE approaches to CFD
    • Toronto, Ontario; Canada, June 6-9, AIAA Paper 2005-4989
    • Hittinger, J. A. F., Suzuki, Y., and Van Leer, B., "Investigation of the discontinuous Galerkin method for first-order PDE approaches to CFD," 17th AIAA Computational Fluid Dynamics Conference, Toronto, Ontario; Canada, June 6-9, 2005, AIAA Paper 2005-4989.
    • (2005) 17th AIAA Computational Fluid Dynamics Conference
    • Hittinger, J.A.F.1    Suzuki, Y.2    Van Leer, B.3
  • 13
    • 0042040209 scopus 로고    scopus 로고
    • Issues and strategies for hyperbolic problems with stiff source terms
    • edited by V. Venkatakrishnan, M. D. Salas, and S. R. Chakravarthy, ICASE/LaRC Interdisciplinary Series in Science and Engineering, Kluwer Academic Publishers, Dordrecht
    • Arora, M. and Roe, P. L., "Issues and strategies for hyperbolic problems with stiff source terms," Barriers and Challenges in Computational Fluid Dynamics, edited by V. Venkatakrishnan, M. D. Salas, and S. R. Chakravarthy, ICASE/LaRC Interdisciplinary Series in Science and Engineering, Kluwer Academic Publishers, Dordrecht, 1998, pp. 139-154.
    • (1998) Barriers and Challenges in Computational Fluid Dynamics , pp. 139-154
    • Arora, M.1    Roe, P.L.2
  • 14
    • 0001862602 scopus 로고
    • Runge-Kutta methods for hyperbolic conservation laws with stiff relaxation terms
    • Jin, S., "Runge-Kutta methods for hyperbolic conservation laws with stiff relaxation terms," Journal of Computational Physics, Vol. 122, No. 1, 1995, pp. 51-67.
    • (1995) Journal of Computational Physics , vol.122 , Issue.1 , pp. 51-67
    • Jin, S.1
  • 15
    • 0001407297 scopus 로고    scopus 로고
    • Uniformly accurate schemes for hyperbolic systems with relaxation
    • Caisch, R. E., Jin, S., and Russo, G., "Uniformly accurate schemes for hyperbolic systems with relaxation," SIAM Journal on Numerical Analysis, Vol. 34, No. 1, 1997, pp. 246-281.
    • (1997) SIAM Journal on Numerical Analysis , vol.34 , Issue.1 , pp. 246-281
    • Caisch, R.E.1    Jin, S.2    Russo, G.3
  • 16
    • 0034431558 scopus 로고    scopus 로고
    • Central schemes for balance laws of relaxation type
    • Liotta, S. F., Romano, V., and Russo, G., "Central schemes for balance laws of relaxation type," SIAM Journal on Numerical Analysis, Vol. 38, No. 4, 2000, pp. 1337-1356.
    • (2000) SIAM Journal on Numerical Analysis , vol.38 , Issue.4 , pp. 1337-1356
    • Liotta, S.F.1    Romano, V.2    Russo, G.3
  • 17
    • 0034331541 scopus 로고    scopus 로고
    • Fractional step methods applied to a chemotaxis model
    • Tyson, R., Stern, L. G., and LeVeque, R. J., "Fractional step methods applied to a chemotaxis model," Journal of Mathematical Biology, Vol. 41, No. 5, 2000, pp. 455-475.
    • (2000) Journal of Mathematical Biology , vol.41 , Issue.5 , pp. 455-475
    • Tyson, R.1    Stern, L.G.2    LeVeque, R.J.3
  • 18
    • 0001449110 scopus 로고    scopus 로고
    • Solving ordinary differential equations II: Stiff and differential-algebraic problems
    • Springer Series, Springer-Verlag, Berlin, second revised ed
    • Hairer, E. and Wanner, G., Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems, Springer Series in Computational Mathematics 14, Springer-Verlag, Berlin, second revised ed., 1996.
    • (1996) Computational Mathematics , vol.14
    • Hairer, E.1    Wanner, G.2
  • 20
    • 0001737039 scopus 로고
    • Implicit-explicit methods for time-dependent partial differential equations
    • Ascher, U. M., Ruuth, S. J., and Wetton, B. T. R., "Implicit- explicit methods for time-dependent partial differential equations," SIAM Journal on Numerical Analysis, Vol. 32, No. 3, 1995, pp. 797-823.
    • (1995) SIAM Journal on Numerical Analysis , vol.32 , Issue.3 , pp. 797-823
    • Ascher, U.M.1    Ruuth, S.J.2    Wetton, B.T.R.3
  • 21
    • 0031269714 scopus 로고    scopus 로고
    • Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
    • Ascher, U. M., Ruuth, S. J., and Spiteri, R. J., "Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations," Applied Numerical Mathematics, Vol. 25, No. 2-3, 1997, pp. 151-167.
    • (1997) Applied Numerical Mathematics , vol.25 , Issue.2-3 , pp. 151-167
    • Ascher, U.M.1    Ruuth, S.J.2    Spiteri, R.J.3
  • 22
    • 28844475047 scopus 로고    scopus 로고
    • Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
    • Pareschi, L. and Russo, G., "Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation," Journal of Scientific Computing, Vol. 25, No. 1, 2005, pp. 129-155.
    • (2005) Journal of Scientific Computing , vol.25 , Issue.1 , pp. 129-155
    • Pareschi, L.1    Russo, G.2
  • 23
    • 84884972630 scopus 로고    scopus 로고
    • Discontinuous Galerkin for diffusion
    • Toronto, Ontario; Canada, June 6-9, AIAA Paper 2005-5108
    • Van Leer, B. and Nomura, S., "Discontinuous Galerkin for diffusion," 17th AIAA Computational Fluid Dynamics Conference, Toronto, Ontario; Canada, June 6-9, 2005, AIAA Paper 2005-5108.
    • (2005) 17th AIAA Computational Fluid Dynamics Conference
    • Van Leer, B.1    Nomura, S.2
  • 24
    • 35649012658 scopus 로고    scopus 로고
    • A discontinuous Galerkin method for diffusion based on recovery
    • Miami, Florida; USA, June 25-28, AIAA Paper 2007-4083
    • Van Leer, B., Lo, M., and Van Raalte, M., "A discontinuous Galerkin method for diffusion based on recovery," 18th AIAA Computational Fluid Dynamics Conference, Miami, Florida; USA, June 25-28, 2007, AIAA Paper 2007-4083.
    • (2007) 18th AIAA Computational Fluid Dynamics Conference
    • Van Leer, B.1    Lo, M.2    Van Raalte, M.3
  • 25
    • 84980081651 scopus 로고
    • On the kinetic theory of rarefied gases
    • Grad, H., "On the kinetic theory of rarefied gases," Communications on Pure and Applied Mathematics, Vol. 2, No. 4, 1949, pp. 331-407.
    • (1949) Communications on Pure and Applied Mathematics , vol.2 , Issue.4 , pp. 331-407
    • Grad, H.1
  • 26
    • 0000911805 scopus 로고
    • On stresses in rarefied gases arising from inequalities of temperature
    • Maxwell, J. C., "On Stresses in Rarefied Gases Arising from Inequalities of Temperature," Philosophical Transactions of the Royal Society of London, Vol. 170, 1879, pp. 231-256.
    • (1879) Philosophical Transactions of the Royal Society of London , vol.170 , pp. 231-256
    • Maxwell, J.C.1
  • 28
    • 0034397162 scopus 로고    scopus 로고
    • Boundary conditions and existence results for Levermore's moments system
    • Le Tallec, P. and Perlat, J. P., "Boundary conditions and existence results for Levermore's moments system," Mathematical Models and Methods in Applied Sciences, Vol. 10, No. 1, 2000, pp. 127-152.
    • (2000) Mathematical Models and Methods in Applied Sciences , vol.10 , Issue.1 , pp. 127-152
    • Le Tallec, P.1    Perlat, J.P.2
  • 29
    • 0030534703 scopus 로고    scopus 로고
    • Moment closure hierarchies for kinetic theories
    • Levermore, C. D., "Moment closure hierarchies for kinetic theories," Journal of Statistical Physics, Vol. 83, No. 5-6, 1996, pp. 1021-1065.
    • (1996) Journal of Statistical Physics , vol.83 , Issue.5-6 , pp. 1021-1065
    • Levermore, C.D.1
  • 31
    • 0000876320 scopus 로고
    • On upstream differencing and Godunov-type schemes for hyperbolic conservation laws
    • Harten, A., Lax, P. D., and Van Leer, B., "On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws," SIAM Review, Vol. 25, No. 1, 1983, pp. 35-61.
    • (1983) SIAM Review , vol.25 , Issue.1 , pp. 35-61
    • Harten, A.1    Lax, P.D.2    Van Leer, B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.