References
- Ananthakrishnaiah, U., R. Manohar, and J. W. Stephenson. 1987. “Fourth-Order Finite Difference Methods for Three-Dimensional General Linear Elliptic Problems with Variable Coefficients.” Numerical Methods for Partial Differential Equations 3: 229–240.
- Billant, P., J. M. Chomaz, and P. Huerre. 1998. “Experimental Study of Vortex Breakdown in Swirling Jets.” Journal of Fluid Mechanics 376: 183–219.
- Chernykh, G. G., A. G. Demenkov, and V. A. Kostomakha. 2006. “Swirling Turbulent Wake Behind a Self-Propelled Body.” International Journal of Computational Fluid Dynamics 19: 339–408.
- Chevillard, L., S. G. Roux, E. Levêque, N. Mordant, J. F. Pinton, and A. Arneodo. 2003. “Lagrangian Velocity Statistics in Turbulent Flows: Effects of Dissipation.” Physical Review Letters 91: 214502.
- Dhakal, T. P., D. K. Walters, and W. Strasser. 2014. “Numerical Study of Gas-Cyclone Airflow: An Investigation of Turbulence Modelling Approaches.” International Journal of Computational Fluid Dynamics. doi:10.1080/10618562.2013.878800.
- Falkovich, G., K. Gawedzki, and M. Vergassola. 2001. “Particles and Fields in Fluid Turbulence.” Reviews of Modern Physics 73: 913–975.
- Frisch, U. 1995. Turbulence. Cambridge: Cambridge University Press.
- Fu, D. X., and Y. W. Ma. 1997. “A High Order Accurate Difference Scheme for Complex Flow Fields.” Journal of Computational Physics 134: 1–15.
- Gui, N., J. R. Fan, K. F. Cen, and S. Chen. 2010. “A Direct Numerical Simulation Study of Coherent Oscillation Effects of Swirling Flows.” Fuel 89: 3926–3933.
- Gui, N., J. R. Fan, and S. Chen. 2010. “Numerical Study of Particle-Vortex Interaction and Turbulence Modulation in Swirling Jets.” Physical Review E 82: 056323.
- Jameson, A., and W. Schmidt. 1985. “Some Recent Development in Numerical Methods for Transonic Flow.” Computer Methods in Applied Mechanics and Engineering 51: 467–493.
- Jeong, J., and F. Hussain. 1995. “On the Identification of a Vortex.” Journal of Fluid Mechanics 285: 69–94.
- Kollmann, W., A. S. H. Ooi, M. S. Chong, and J. Soria. 2001. “Direct Numerical Simulations of Vortex Breakdown in Swirling Jets.” Journal of Turbulence 2: 005 2–17.
- Koynov, A., and J. G. Khinast. 2004. “Effects of Hydrodynamics and Lagrangian Transport on Chemically Reacting Bubble Flows.” Chemical Engineering Science 59: 3907–3927.
- Lele, S. K. 1992. “Compact Finite Difference Scheme with Spectral-Like Resolution.” Journal of Computational Physics 103: 16–42.
- Luo, K., Z. L. Wang, and J. R. Fan. 2007. “A Modified Immersed Boundary Method for Simulations of Fluid–Particle Interactions.” Computer Methods in Applied Mechanics and Engineering 197: 36–46.
- Luo, K., Z. L. Wang, and J. R. Fan. 2010. “Response of Force Behaviors of a Spherical Particle to an Oscillating Flow.” Physics Letters A 374: 3046–3052.
- Ma, Q. F., D. P. Hu, J. Z. Jiang, and Z. H. Qiu. 2009. “A Turbulent Eulerian Multi-fluid Model for Homogeneous Nucleation of Water Vapour in Transonic Flow.” International Journal of Computational Fluid Dynamics 23: 221–231.
- Marshall, J. S., and K. Sala. 2011. “A Stochastic Lagrangian Approach for Simulating the Effect of Turbulent Mixing on Algae Growth Rate in a Photobioreactor.” Chemical Engineering Science 66: 384–392.
- Moin, P., and K. Mahesh. 1998. “Direct Numerical Simulation: A Tool in Turbulence Research.” Annual Review of Fluid Mechanics 30: 539–578.
- Mordant, N., A. M. Crawford, and E. Bodenschatz. 2004. “Three-Dimensional Structure of the Lagrangian Acceleration in Turbulent Flows.” Physical Review Letters 93: 214501.
- Mordant, N., P. Metz, O. Michel, and J. F. Pinton. 2001. “Measurement of Lagrangian Velocity in Fully Developed Turbulence.” Physical Review Letters 87: 214501.
- Orlanski, I. 1976. “A Simple Boundary Condition for Unbounded Hyperbolic Flow.” Journal of Computational Physics 21: 251–269.
- Pope, S. B. 1994. “Lagrangian PDF Methods for Turbulent Flows.” Annual Review of Fluid Mechanics 26: 23–63.
- Porta, A. L., G. A. Voth, A. M. Crawford, J. Alexander, and E. Bodenschatz. 2001. “Fluid Particle Accelerations in Fully Developed Turbulence.” Nature 409: 1017–1019.
- Rammohan, A. R., A. Kemoun, M. H. Al-Dahhan, and M. P. Dudukovic. 2001. “A Lagrangian Description of Flows in Stirred Tanks via Computer-Automated Radioactive Particle Tracking (CARPT).” Chemical Engineering Science 56: 2629–2639.
- Voth, G. A., K. Satyanarayan, and E. Bodenschatz. 1998. “Lagrangian Acceleration Measurements at Large Reynolds Numbers.” Physics of Fluids 10: 2268–2280.
- Wu, D. Z., T. Chen, Y. B. Sun, Z. F. Li, and L. Q. Wang. 2012. “A Study on Numerical Methods for Transient Rotating Flow Induced by Starting Blades.” International Journal of Computational Fluid Dynamics 26: 297–312.
- Zhou, Z., Z. L. Wang, and J. R. Fan. 2010. “Direct Numerical Simulation of the Transitional Boundary-Layer Flow Induced by an Isolated Hemispherical Roughness Element.” Computer Methods in Applied Mechanics and Engineering 199: 1573–1582.