Numerical Modelling of Convective Wave using Fractional-Step Method

  • Authors

    • Wah Yen Tey
    • Jared Tang Tze Hou
    • Hooi Siang Kang
    • . .
    2018-11-30
    https://doi.org/10.14419/ijet.v7i4.25.22405
  • Computational wave dynamics, Aerodynamic mountain wave, Convective wave, Fractional step method.

  • Abstract

    Wave equation is often solved independently without involving Continuity and momentum equations and this implies that the numerical simulation is restricted to wave phenomenon in static fluid. Meanwhile the available wave models are more suitable for the case in which the convective effect outweighs the local wave fluctuation. However, there are many fluid dynamics phenomena which involves equally significant effect of convective flow and wave disturbance, such as mountain waves, strong aeroacoustics wave and strong ocean waves. These flows need to be simulated by computational coupling. We have developed a solver using fractional step method for the construction of convective wave coupling algorithm. In our implementation, we model a flow across the wave-excited lid driven cavity as our case study, in which the model is to imitate the aerodynamic mountain wave. We found that the convective wave ratio plays a great role in affecting the velocity field of the fluid domain.

     

  • References

    1. [1] Hernandes V, Estrada J, Moreno E, Rodiguez S & Mansur A, “Numerical solution of a wave propagation problem along plate structure based on the isogeometric approachâ€, Journal of Theoretical and Computational Acoustics, Vol.26, No.1, (2018), pp.1750030.

      [2] Seadawy AR & Manafian J, “New soliton solution to the longitudinal wave equation in a magneto-elector-elastic circular rodâ€, Results in Physics, Vol.8, (2018), pp.1158-1167.

      [3] Tan CZ, “Wave equation for energy and the momentum of a moving particleâ€, Optik, Vol.168, (2018), pp.864-872.

      [4] Hornikx M, “Ten questions concerning computational urban acousticsâ€, Building and Environment, Vol.106, (2016), pp.409-421.

      [5] Venugopal V, Nemalidinne R & Vogler A, “Numerical modelling of wave energy sources and assessment of wave energy extraction by large scale wave farmsâ€, Ocean and Coastal Management, Vol.147, (2017), pp.37-48.

      [6] Ma X, Huang B, Wang G, Fu X & Qiu S, “Numerical simulation of the red blood cell aggregation and deformation behaviours in ultrasonic fieldâ€, Ultrasonic Sonochemistry, Vol.38, (2017), pp.604-613.

      [7] Liu J, Wang W, Chu N, Wu D & Wu W, “Numerical simulations and experimental validation on passive acoustics emissions during bubble formationâ€, Applied Acoustics, Vol.130, (2018), pp.34-42.

      [8] Astley RJ & Gamallo P, “Special shortwave elements for flow acousticsâ€, Computer Methods in Applied Mechanics and Engineering, Vol.194, (2015), pp.341-353.

      [9] Barbarino M, Adamo FP, Bianco D, & Bartoccini D, “Hybrid BEM/empirical approach for scattering of correlated sources in rocket noise predictionâ€, Journal of Sound and Vibration, Vol.403, (2017), pp.90-103.

      [10] Adam, AR & Chaudhari MB, “Acoustic Study and behaviour of flow through orificeâ€, Procedia Manufacturing, Vol.20, (2018), pp.154-159.

      [11] Chirico G, Barakos GN & Bown N, “Propeller installation effects on turboprop aircraft acousticsâ€, Journal of Sound and Vibration, Vol.424, (2018), pp.238-262.

      [12] Tey WY, Asako Y, Sidik NAC & Goh RZ, “Governing equations in computational fluid dynamics: derivations and a recent reviewâ€, Progress in Energy and Environment, Vol.1, (2017), pp.1-19.

      [13] Sang JG, “On the dynamics of convection wavesâ€, Quarterly Journal of the Royal Meteorological Society, Vol.119, (1993), pp.715-732.

      [14] Willatzen M & Voon LCLY, “Flow acoustics in periodic structureâ€, Ultrasonics, Vol.43, (2005) pp.756-763.

      [15] Chen C, Liu H & Beardsley RC, “An unstructured grid, finite-volume, three-dimensional, primitive equation ocean model: application to coastal ocean and estuariesâ€, Journal of Atmospheric and Oceanic Technology, Vol.20, (2003), pp.159-186.

      [16] Liu J, Wang W, Chu N, Wu D & Wu W, “Numerical simulations and experimental validation on passive acoustics emissions during bubble formationâ€, Applied Acoustics, Vol.130, (2018), pp.34-42.

      [17] Qi J., Chen C, Beardsley RC, Perrie W, Cowles GW & Lai Z, “An unstructured-grid finite-volume surface wave model (FVCOM-SWAVE): implementation, validations and applicationsâ€, Ocean Model, Vol.28, (2009), pp.153-166.

      [18] Mao Y & Hu Z, “Convective wave equation of aeroacousticsâ€, Procedia IUTAM, Vol.20, (2017), pp.81-88.

      [19] Ver IL & Beranak, LL, Noise and Vibration Control Engineering: Principle and Applications, John Wiley & Sons, Inc, (2006).

      [20] Feltz WF, Bedka KM, Otkin JA, Greenwald T, Ackerman SA, “Understanding satellite-observed mountain wave signatures using high resolution numerical model dataâ€, Weather and Forecasting, Vol.24, (2009), pp.76-86.

      [21] Torre Adl, Hierro R., Llamedo P., Rolla, A & Alexander P, “Severe hailstorms near Soutern Andes in the presence of mountain wavesâ€, Atmospheric Research, Vol.101, (2011), pp.112-123.

      [22] Lee CN, Tey WY & Tan LK, “The Investigation of SIMPLE and SIMPLER algorithm through lid driven cavityâ€, Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, Vol.29, (2017), pp.10-23.

      [23] Kajishima T & Taira K, Computational Fluid Dynamics: Incompressible Turbulent Flows, Springer International Publishing, (2017).

      [24] Harlow FH & Welch J.E, “Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surfaceâ€, Physics of Fluid, Vol.8, (1965), pp.2182-2189.

      [25] Ferziger JH & Peric M, Computational Methods for Fluid Dynamics, Springer International Publishing, (2002).

      [26] Tu J, Yeoh GH & Liu C, Computational Fluid Dynamics: A Practical Approach, Elsevier Publisher, (2018), pp.117-216.

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  • How to Cite

    Yen Tey, W., Tang Tze Hou, J., Siang Kang, H., & ., . (2018). Numerical Modelling of Convective Wave using Fractional-Step Method. International Journal of Engineering & Technology, 7(4.25), 99-103. https://doi.org/10.14419/ijet.v7i4.25.22405

    Received date: 2018-11-30

    Accepted date: 2018-11-30

    Published date: 2018-11-30