Development of numerical analysis method of flow-acoustic resonance in stub pipes of safety relief valves

References

• 2006 . Q2R18 concerns related to steam dryer Washington , DC LS-AA-125-1001 Revision 5, NRC
   Google Scholar
• DeBoo , G. , Ramsden , K. and Gesior , R. 2006 . Quad Cities Unit 2 main steam line acoustic source identification and load reduction . Proceedings of ICONE-14 . July 17–20 2006 .
   Google Scholar
• Takahashi , S. and M. Ohtsuka, K. Okuyama, T. Ito, and K. Yoshikawa, . 2008 . Experimental study of acoustic and flow-induced vibrations in BWR main steam lines and steam dryers . Proceedings of PVP2008 . July 27–31 2008 .
   Google Scholar
• Jungowski , W.M. , Botros , K.K. and Studzinski , W. 1989 . Cylindrical side-branch as tone generator . J. Sound Vib , 131 : 265 – 285 .
   Google Scholar
• Bruggeman , J.C. , Hirschberg , A. , van Dongen , M.E.H. , Wijnands , A.P.J. and Gorter , J. 1991 . Self-sustained aero-acoustic pulsations in gas transport systems: Experimental study of the influence of closed side branches . J. Sound Vib , 150 : 371 – 393 .
   Web of Science ®Google Scholar
• Ziada , S. and Buhlmann , E.T. 1992 . Self-excited resonances of two side-branches in close proximity . J. Fluids Struct , 6 : 583 – 601 .
   Web of Science ®Google Scholar
• Kriesels , P.C. , Peters , M.C.A.M. , Hirschberg , A. , Wijnands , A.P.J. , Iafrati , A. , Riccardi , G. , Piva , R. and Bruggeman , J.C. 1995 . High amplitude vortex-induced pulsations in a gas transport system . J. Sound Vib , 184 : 343 – 368 .
   Web of Science ®Google Scholar
• Ziada , S. 1994 . A flow visualization study of flow-acoustic coupling at the mouth of a resonant side-branch . J. Fluids Struct , 8 : 391 – 416 .
   Web of Science ®Google Scholar
• Dequand , S. , Hulshoff , S.J. and Hirshberg , A. 2003 . Self-sustained oscillations in a closed side branch system . J. Sound Vib , 265 : 359 – 386 .
   Google Scholar
• Li , Y. , Someya , S. and Okamoto , K. 2008 . A visualization study of flow-induced acoustic resonance in a branched pipe . Proceedings of NTHAS-6 . November 24–27 2008 .
   Google Scholar
• Nonomura , T. and Fujii , K. 2009 . Effects of difference scheme type in high-order weighted compact nonlinear schemes . J. Comput. Phys , 228 ( 10 ) : 3533 – 3539 .
   Web of Science ®Google Scholar
• Nonomura , T. , Iizuka , N. and Fujii , K. 2010 . Freestream and vortex preservation properties of high-order WENO and WCNS on curvilinear grids . Comput. Fluids , 39 ( 2 ) : 197 – 214 .
   Google Scholar
• Nonomura , T. , Muranaka , H. and Fujii , K. 2010 . Computational analysis of Mach number effects on the edgetone phenomenon . AIAA J , 48 ( 6 ) : 1248 – 1251 .
   Google Scholar
• Kawai , S. and Fujii , K. 2008 . Compact scheme with filtering for large-eddy simulation of transitional boundary layer . AIAA J , 46 ( 3 ) : 690 – 700 .
   Google Scholar
• Yokoyama , H. , Tsukamoto , Y. , Kato , C. and Iida , A. 2007 . Self-sustained oscillations with acoustic feedback in flow over a backward-facing step with a small upstream step . Phys. Fluids , 19
   Google Scholar
• Yokoyama , H. and Kato , C. 2009 . Fluid-acoustic interactions in self-sustained oscillations in turbulent cavity flows. I: Fluid-dynamic oscillations . Phys. Fluids , 21 : 105103
   Google Scholar
• Bogey , C. and Bailly , C. 2004 . A family of low dispersive and low dissipative explicit schemes for flow and noise computations . J. Comput. Phys , 194 ( 1 ) : 194 – 214 .
   Web of Science ®Google Scholar
• Nannelli , F. and Succi , S. 1992 . The lattice Boltzmann equation on irregular lattices . J. Stat. Phys , 68 ( 3 ) : 401 – 407 .
   Google Scholar
• Reider , M.B. and Sterling , J.D. 1995 . Accuracy of discrete-velocity BGK models for the simulation of the incompressible Navier-Stokes equations . Comput. Fluids , 24 : 459 – 467 .
   Web of Science ®Google Scholar
• Cao , N. , Chen , S. , Jin , S. and Martinez , D. 1997 . Physical symmetry and lattice symmetry in the lattice Boltzmann method . Phys. Rev. E , 55 : 21 – 24 .
   Web of Science ®Google Scholar
• Watari , M. and Tsutahara , M. 2003 . Two-dimensional thermal model of the finite difference lattice Boltzmann method with high spatial isotropy . Phys. Rev. E , 67 : 036306
   Web of Science ®Google Scholar
• Seta , T. and Takahashi , R. 2002 . Numerical stability analysis of FDLBM . J. Stat. Phys , 107 : 557 – 572 .
   Google Scholar
• Tsutahara , M. , Kataoka , T. , Shikata , K. and Takada , N. 2008 . New model and scheme for compressible fluids of the finite difference lattice Boltzmann method and direct simulations of aerodynamic sound . Comput. Fluids , 37 : 79 – 89 .
   Web of Science ®Google Scholar
• Tamura , A. and Tsutahara , M. 2010 . Direct simulation of Aeolian tones emitted from a circular cylinder in transonic flows using the finite difference lattice Boltzmann method . Fluid Dynam. Res , 42 : 015007
   Google Scholar
• Tamura , A. , Tsutahara , M. , Kataoka , T. , Aoyama , T. and Yang , C. 2008 . Numerical simulation of two-dimensional blade-vortex interactions using finite difference lattice Boltzmann method . AIAA J , 46 ( 9 ) : 2235 – 2247 .
   Google Scholar
• Tamura , A. , Okuyama , K. , Takahashi , S. and Ohtsuka , M. 2011 . Three-dimensional discrete -velocity BGK model for the incompressible Navier-Stokes equations . Comput. Fluids , 40 : 149 – 155 .
   Google Scholar
• McNamara , G. and Zanetti , G. 1988 . Use of the Boltzmann equation to simulate lattice-gas automata . Phys. Rev. Lett , 61 : 2332 – 2335 .
   PubMed Web of Science ®Google Scholar
• Higuera , F.J. and Jimenez , J. 1989 . Boltzmann approach to lattice gas simulations . Europhys. Lett , 9 : 663 – 668 .
   Google Scholar
• Higuera , F.J. , Succi , S. and Benzi , R. 1989 . Lattice gas dynamics with enhanced collisions . Europhys. Lett , 9 : 345 – 349 .
   Google Scholar
• Benzi , R. , Succi , S. and Vergassola , M. 1992 . The lattice Boltzmann equation: Theory and applications . Phys. Rep. Lett , 222 : 145 – 197 .
   Google Scholar
• Chen , S. , Chen , H. , Martinez , D. and Matthaeus , W.H. 1991 . Lattice Boltzmann model for simulation of magnetohydrodynamics . Phys. Rev. Lett , 67 : 3776 – 3779 .
   PubMed Web of Science ®Google Scholar
• Chen , H. , Chen , S. and Matthaeus , W.H. 1992 . Recovery of the Navier-Stokes equations using a lattice gas Boltzmann method . Phys. Rev. A , 45 : 5339 – 5342 .
   PubMed Web of Science ®Google Scholar
• Qian , Y.H. , d'Humieres , D. and Lallemand , P. 1992 . Lattice BGK models for Navier-Stokes equation . Europhys. Lett , 17 : 479 – 484 .
   Google Scholar
• He , X. and Luo , L.S. 1997 . Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation . Phys. Rev. E , 56 : 6811 – 6817 .
   Web of Science ®Google Scholar
• d'Humieres , D. , Bouzidi , M. and Lallemand , P. 2001 . Thirteen-velocity three-dimensional lattice Boltzmann model . Phys. Rev. E , 63 : 066702-1-7
   Google Scholar
• d'Humieres , D. , Ginzburg , I. , Krafczyk , M. , Lallemand , P. and Luo , L.S. 2002 . Multiple-relaxation-time lattice Boltzmann models in three dimensions . Phil. Trans. R. Soc. Lond. A , 360 : 437 – 451 .
   PubMed Web of Science ®Google Scholar
• Guo , Z. , Zheng , C. and Shi , B. 2002 . An extrapolation method for boundary conditions in lattice Boltzmann method . Phys. Fluids , 14 : 2007 – 2010 .
   Web of Science ®Google Scholar
• Chen , S. and Doolen , D. 1998 . Lattice Boltzmann method for fluid flows . Annu. Rev. Fluid Mech , 30 : 329 – 364 .
   Web of Science ®Google Scholar
• Howe , M.S. 2003 . Theory of Vortex Sound , Cambridge : Cambridge University Press .
   Google Scholar
• Germano , M. , Piomelli , U. , Moin , P. and Cabot , W.H. 1991 . A dynamic subgrid-scale eddy viscosity model . Phys. Fluids , A3 ( 7 ) : 1760 – 1765 .
   Web of Science ®Google Scholar
• Koseff , J.R. and Street , R.L. 1984 . Visualization studies of a shear driven three-dimensional recirculating flow . J. Fluids Eng , 12 : 1363 – 1376 .
   Google Scholar