A NUMERICALLY CONSISTENT MULTIPHASE POISEUILLE FLOW COMPUTATION BY A NEW PARTICLE METHOD

Authors

  • K. C. Ng Center of Fluid Dynamics, Department of Mechanical Engineering, Universiti Tenaga Nasional, Jalan IKRAM-UNITEN, 43000 Kajang, Selangor, Malaysia
  • Y. H. Hwang Department of Marine Engineering, National Kaohsiung Marine University, Kaohsiung 805, Taiwan
  • T. W. H. Sheu Center for Advanced Studies in Theoretical Sciences (CASTS), National Taiwan University, Taipei, Taiwan
  • M. Z. Yusoff Center of Fluid Dynamics, Department of Mechanical Engineering, Universiti Tenaga Nasional, Jalan IKRAM-UNITEN, 43000 Kajang, Selangor, Malaysia

DOI:

https://doi.org/10.11113/jt.v76.5629

Keywords:

Poiseuille flow, particle method, Moving Particle Semi-implicit (MPS), Moving Particle Pressure Mesh (MPPM), multiphase flow, CFD

Abstract

Recently, there is a rising interest in simulating fluid flow by using particle methods, which are mesh-free. However, the viscous stresses (or diffusion term) appeared in fluid flow governing equations are commonly expressed as the second-order derivatives of flow velocities, which are usually discretized by an inconsistent numerical approach in a particle-based method. In this work, a consistent method in discretizing the diffusion term is implemented in our particle-based fluid flow solver (namely the Moving Particle Pressure Mesh (MPPM) method). The new solver is then used to solve a multiphase Poiseuille flow problem. The error is decreasing while the grid is refined, showing the consistency of our current numerical implementation.

References

Koshizuka, S., Nobe, A. and Oka, Y. 1998. Numerical Analysis of Breaking Waves Using the Moving Particle Semi-Implicit Method. International Journal for Numerical Methods in Fluids. 26: 751-769.

Koshizuka, S., Ikeda, H. and Oka, Y. 1999. Numerical Analysis of Fragmentation Mechanisms in Vapor Explosions. Numerical Engineering and Design. 189: 423-433.

Shakibaeinia, A. and Jin, Y. C. 2012. MPS Mesh-Free Particle Method for Multiphase Flows. Computer Methods in Applied Mechanics and Engineering. 229-232: 13-26.

Natsui, S., Takai, H., Kumagai, T., Kikuchi, T. and Suzuki, R. O. 2014. Stable Mesh-free Moving Particle Semi-implicit Method for Direct Analysis of Gas-liquid Two-phase Flow. Chemical Engineering Science. 111: 286-298.

Tanaka, M. and Masunaga, T. 2010. Stabilization and Smoothing of Pressure in MPS Method by Quasi-Compressibility. Journal of Computational Physics. 229: 4279-4290.

Ng, K. C. and Ng, E. Y. K. 2013. Laminar Mixing Performances of Baffling, Shaft Eccentricity and Unsteady Mixing in a Cylindrical Vessel. Chemical Engineering Science. 104: 960-974.

Ng, K. C., Ng, E. Y. K. and Lam, W. H. 2013. Lagrangian Simulation of Steady and Unsteady Laminar Mixing by Plate Impeller in a Cylindrical Vessel. Industrial & Engineering Chemistry Research. 52(1): 10004-10014.

Hwang, Y. H. 2011. A Moving Particle Method with Embedded Pressure Mesh (MPPM) for Incompressible Flow Calculations. Numerical Heat Transfer Part B. 60: 370-398.

Ng, K. C., Hwang, Y. H. and Sheu, T. W. H. 2014. On the Accuracy Assessment of Laplacian Models in MPS. Computer Physics Communications. 185(10): 2412-2426.

Luo, M., Koh, C.G., Gao, M. and Bai, W. 2015. A Particle Method for Two-phase Flows with Large Density Difference. International Journal for Numerical Methods in Engineering. DOI: 10.1002/nme.4884.

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Published

2015-09-27

How to Cite

A NUMERICALLY CONSISTENT MULTIPHASE POISEUILLE FLOW COMPUTATION BY A NEW PARTICLE METHOD. (2015). Jurnal Teknologi, 76(8). https://doi.org/10.11113/jt.v76.5629