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Volumn 39, Issue 9, 2010, Pages 1711-1721

Numerical study of shock propagation and attenuation in narrow tubes including friction and heat losses

Author keywords

Friction; Heat losses; Shock propagation; WENO schemes

Indexed keywords

DIFFUSIVE REGIME; DISCRETIZATIONS; DISSIPATIVE PROCESS; ESSENTIALLY NON-OSCILLATORY; HEAT EXCHANGE; ISOTHERMAL REGIME; LENGTH SCALE; NARROW TUBES; NUMERICAL SIMULATION; NUMERICAL STUDIES; NUMERICAL TESTS; ONE-DIMENSIONAL APPROACH; SCALING PARAMETER; SHOCK PROPAGATION; SHOCK SPEED; TIME EVOLUTIONS; TUBE DIAMETERS; WENO SCHEMES;

EID: 77955050172     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2010.06.005     Document Type: Article
Times cited : (38)

References (30)
  • 2
    • 0026869996 scopus 로고
    • A numerical simulation of boundary layer effects in a shock tube
    • Badcock K.J. A numerical simulation of boundary layer effects in a shock tube. Int J Numer Methods Fluids 1992, 14:1151-1171.
    • (1992) Int J Numer Methods Fluids , vol.14 , pp. 1151-1171
    • Badcock, K.J.1
  • 3
    • 0000932260 scopus 로고    scopus 로고
    • Average-state Jacobians and implicit methods for compressible viscous and turbulent flows
    • Batten P., Leschziner M., Goldberg U.C. Average-state Jacobians and implicit methods for compressible viscous and turbulent flows. J Comput Phys 1997, 137:38-78.
    • (1997) J Comput Phys , vol.137 , pp. 38-78
    • Batten, P.1    Leschziner, M.2    Goldberg, U.C.3
  • 4
    • 38749131538 scopus 로고    scopus 로고
    • An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
    • Borges R., Carmona M., Costa B., Don W.S. An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws. J Comput Phys 2009, 227:3191-3211.
    • (2009) J Comput Phys , vol.227 , pp. 3191-3211
    • Borges, R.1    Carmona, M.2    Costa, B.3    Don, W.S.4
  • 5
    • 34247895700 scopus 로고    scopus 로고
    • Upwinding of the source term at interfaces for Euler equations with high friction
    • Bouchut F., Ounaissa H., Perthame B. Upwinding of the source term at interfaces for Euler equations with high friction. Comput Math Appl 2007, 53:361-375.
    • (2007) Comput Math Appl , vol.53 , pp. 361-375
    • Bouchut, F.1    Ounaissa, H.2    Perthame, B.3
  • 6
    • 0242391781 scopus 로고    scopus 로고
    • Shock waves at microscales
    • Brouillette M. Shock waves at microscales. Shock Waves 2003, 13:3-12.
    • (2003) Shock Waves , vol.13 , pp. 3-12
    • Brouillette, M.1
  • 7
    • 77955056308 scopus 로고    scopus 로고
    • Modeling of viscous shock tube using ES-BGK model kinetic equations. AIAA paper 2009-1317.
    • Chigullappalli S, Venkattraman A, Alexeenko AA. Modeling of viscous shock tube using ES-BGK model kinetic equations. AIAA paper 2009-1317.
    • Chigullappalli, S.1    Venkattraman, A.2    Alexeenko, A.A.3
  • 8
    • 57649228414 scopus 로고    scopus 로고
    • Numerical simulation of the viscous shock tube problem by using a high resolution monotonicity-preserving scheme
    • Daru V., Tenaud C. Numerical simulation of the viscous shock tube problem by using a high resolution monotonicity-preserving scheme. Comput Fluids 2009, 38:664-676.
    • (2009) Comput Fluids , vol.38 , pp. 664-676
    • Daru, V.1    Tenaud, C.2
  • 9
    • 0034258009 scopus 로고    scopus 로고
    • Evaluation of TVD high resolution schemes for unsteady viscous shocked flows
    • Daru V., Tenaud C. Evaluation of TVD high resolution schemes for unsteady viscous shocked flows. Comput Fluids 2001, 30:89-113.
    • (2001) Comput Fluids , vol.30 , pp. 89-113
    • Daru, V.1    Tenaud, C.2
  • 10
    • 0009190758 scopus 로고
    • Shock-tube performance at low initial pressure
    • Duff R.E. Shock-tube performance at low initial pressure. Phys Fluids 1959, 2:207-216.
    • (1959) Phys Fluids , vol.2 , pp. 207-216
    • Duff, R.E.1
  • 12
    • 0000876320 scopus 로고
    • On upstream differencing and Godunov-type schemes for hyperbolic conservation laws
    • Harten A., Lax P.D., van Leer B. On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. SIAM J 1983, 25:35-61.
    • (1983) SIAM J , vol.25 , pp. 35-61
    • Harten, A.1    Lax, P.D.2    van Leer, B.3
  • 13
    • 18844441718 scopus 로고    scopus 로고
    • Mapped weighted essentially non-oscillatory schemes: achieving optimal order near critical points
    • Henrick A.K., Aslam T.D., Powers J.M. Mapped weighted essentially non-oscillatory schemes: achieving optimal order near critical points. J Comput Phys 2005, 207:542-567.
    • (2005) J Comput Phys , vol.207 , pp. 542-567
    • Henrick, A.K.1    Aslam, T.D.2    Powers, J.M.3
  • 14
    • 33750955433 scopus 로고    scopus 로고
    • Efficiency of shock wave compression in a microchannel
    • Iancu F., Muller N. Efficiency of shock wave compression in a microchannel. Microfluid Nanofluid 2006, 2:50-63.
    • (2006) Microfluid Nanofluid , vol.2 , pp. 50-63
    • Iancu, F.1    Muller, N.2
  • 15
    • 0030161771 scopus 로고    scopus 로고
    • Efficient implementation of Weighted ENO Schemes
    • Jiang G.S., Shu C.-W. Efficient implementation of Weighted ENO Schemes. J Comput Phys 1996, 126:202-228.
    • (1996) J Comput Phys , vol.126 , pp. 202-228
    • Jiang, G.S.1    Shu, C.-W.2
  • 16
    • 33750628713 scopus 로고    scopus 로고
    • Implementation of WENO schemes in compressible multicomponent flow problems
    • Johnsen E., Colonius T. Implementation of WENO schemes in compressible multicomponent flow problems. J Comput Phys 2006, 219:715-732.
    • (2006) J Comput Phys , vol.219 , pp. 715-732
    • Johnsen, E.1    Colonius, T.2
  • 17
    • 34248596734 scopus 로고    scopus 로고
    • A modified higher order Godunov's scheme for stiff source conservative hydrodynamics
    • Miniati F., Colella P. A modified higher order Godunov's scheme for stiff source conservative hydrodynamics. J Comput Phys 2007, 224:519-538.
    • (2007) J Comput Phys , vol.224 , pp. 519-538
    • Miniati, F.1    Colella, P.2
  • 18
    • 77954043010 scopus 로고    scopus 로고
    • One-dimensional model for microscale shock tube flow
    • Mirshekari G., Brouillette M. One-dimensional model for microscale shock tube flow. Shock Waves 2009, 19:25-38.
    • (2009) Shock Waves , vol.19 , pp. 25-38
    • Mirshekari, G.1    Brouillette, M.2
  • 19
    • 0035950276 scopus 로고    scopus 로고
    • The Fanno model for turbulent compressible flow
    • Ockendon H., Ockendon J.R., Falle S. The Fanno model for turbulent compressible flow. J Fluid Mech 2001, 445:187-206.
    • (2001) J Fluid Mech , vol.445 , pp. 187-206
    • Ockendon, H.1    Ockendon, J.R.2    Falle, S.3
  • 20
    • 34548158736 scopus 로고    scopus 로고
    • Numerical solutions of the unsteady Fanno model for compressible pipe flow
    • Novikovs A., Ockendon H., Ockendon J.R. Numerical solutions of the unsteady Fanno model for compressible pipe flow. J Fluid Mech 2007, 579:493-507.
    • (2007) J Fluid Mech , vol.579 , pp. 493-507
    • Novikovs, A.1    Ockendon, H.2    Ockendon, J.R.3
  • 21
    • 0037146401 scopus 로고    scopus 로고
    • On the construction, comparison, and local characteristic decomposition for high-order central WENO schemes
    • Qiu J., Shu C.-W. On the construction, comparison, and local characteristic decomposition for high-order central WENO schemes. J Comput Phys 2002, 183:187-209.
    • (2002) J Comput Phys , vol.183 , pp. 187-209
    • Qiu, J.1    Shu, C.-W.2
  • 22
    • 33646124706 scopus 로고    scopus 로고
    • High-resolution finite compact difference schemes for hyperbolic conservation laws
    • Shen Y., Yang G., Gao Z. High-resolution finite compact difference schemes for hyperbolic conservation laws. J Comput Phys 2006, 216:114-137.
    • (2006) J Comput Phys , vol.216 , pp. 114-137
    • Shen, Y.1    Yang, G.2    Gao, Z.3
  • 23
    • 0001568854 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock capturing schemes
    • Shu C.-W. Efficient implementation of essentially non-oscillatory shock capturing schemes. J Comput Phys 1989, 83:32-78.
    • (1989) J Comput Phys , vol.83 , pp. 32-78
    • Shu, C.-W.1
  • 24
    • 77955052611 scopus 로고    scopus 로고
    • Shu C-W. Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws. NASA/CR-97-206253 ICASE report no. 97-65;
    • Shu C-W. Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws. NASA/CR-97-206253 ICASE report no. 97-65; 1997.
    • (1997)
  • 25
    • 45449125925 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock-capturing schemes
    • Shu C.-W., Osher S. Efficient implementation of essentially non-oscillatory shock-capturing schemes. J Comput Phys 1988, 77:439-471.
    • (1988) J Comput Phys , vol.77 , pp. 439-471
    • Shu, C.-W.1    Osher, S.2
  • 26
    • 0001518684 scopus 로고
    • On the construction and comparison of difference schemes
    • Strang G. On the construction and comparison of difference schemes. SIAM J Numer Anal 1968, (3):506-517.
    • (1968) SIAM J Numer Anal , Issue.3 , pp. 506-517
    • Strang, G.1
  • 27
    • 77955051311 scopus 로고    scopus 로고
    • Shock propagation in narrow channels. ISSW23l, Fort Worth (TX);
    • Sun M, Ogawa T, Takayama K. Shock propagation in narrow channels. ISSW23l, Fort Worth (TX); 2001.
    • (2001)
    • Sun, M.1    Ogawa, T.2    Takayama, K.3
  • 28
    • 0003122153 scopus 로고
    • Restoration of the contact surface in the HLL-Riemann solver
    • Toro E.F., Spruce M., Speares 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    Speares, W.3
  • 29
    • 64049115636 scopus 로고    scopus 로고
    • A systematic methodology for constructing high-order energy stable WENO schemes
    • Yamaleev N.K., Carpenter M.H. A systematic methodology for constructing high-order energy stable WENO schemes. J Comput Phys 2009, 228:4248-4272.
    • (2009) J Comput Phys , vol.228 , pp. 4248-4272
    • Yamaleev, N.K.1    Carpenter, M.H.2
  • 30
    • 33746391904 scopus 로고    scopus 로고
    • Navier-Stokes computations in micro shock tubes
    • Zeitoun D., Burtschell Y. Navier-Stokes computations in micro shock tubes. Shock Waves 2006, 15:241-246.
    • (2006) Shock Waves , vol.15 , pp. 241-246
    • Zeitoun, D.1    Burtschell, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.