A Robust and Practical Multi-Moment Finite Volume Model for Computational Fluid Dynamics

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A robust and practical CFD code has been developed. The numerical framework, so-called VSIAM3 (Volume/Surface Integrated Average based Multi-Moment Method) makes use of two kinds of integrated moments of physical field, i.e. the volume integrated average (VIA) and the surface integrated average (SIA), which are treated as the computational variables and separately updated in time. VSIAM3 formulation is essentially different from conventional finite volume method and provides a convenient and robust framework to accommodate many existing numerical techniques for simulating various complex flows. In this paper, we will present the underlying idea of VSIAM3 and the extensions to make it applicable to various practical problems. Efforts toward high computational performance on hard wares with distributed memory and GPGPU will be also reported.

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534-538

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October 2013

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] J.H. Ferziger, M. Peric, Computational Methods for Fluid Dynamics, third ed., Springer, (2002).

Google Scholar

[2] F. Xiao, Unified formulation for compressible and incompressible flows by using multi integrated moments I: One-dimensional inviscid compressible flow, J. Comput. Phys., 195(2004) 629-654.

DOI: 10.1016/j.jcp.2003.10.014

Google Scholar

[3] F. Xiao, R. Akoh, S. Ii, Unified formulation for compressible and incompressible flows by using multi integrated moments II: multi-dimensional version for compressible and incompressible flows, J. Comput. Phys., 213(2006) 31-56.

DOI: 10.1016/j.jcp.2005.08.002

Google Scholar

[4] T. Yabe, R. Tanaka, T. Nakamura, F. Xiao, An exactly conservative semi-Lagrangian scheme (CIP-CSL) in one dimension, Monthly Weather Review, 129(2001), 332-344.

DOI: 10.1175/1520-0493(2001)129<0332:aecsls>2.0.co;2

Google Scholar

[5] F. Xiao, T. Yabe, Completely conservative and oscillationless semi-Lagrangian schemes for advection transportation, J. Comput. Phys., 170 (2001), 498-522.

DOI: 10.1006/jcph.2001.6746

Google Scholar

[6] F. Xiao, T. Yabe, T. Ito, Constructing Oscillation Preventing Scheme for Advection Equation by Rational Function, Computer Physics Communications, 93(1996), 1-12.

DOI: 10.1016/0010-4655(95)00124-7

Google Scholar

[7] F. Xiao, T. Yabe, X.D. Peng and H. Kobayashi, Conservative and oscillation-less atmospheric transport schemes based on rational functions, J. Geophys. Res. 107 (D22) (2002), 4609, doi: 10. 1029/ 2001JD001532.

DOI: 10.1029/2001jd001532

Google Scholar

[8] U Ghia, KN Ghia, CT Shin, High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method, J. Comput. Phys., 48(1982), 387–411.

DOI: 10.1016/0021-9991(82)90058-4

Google Scholar

[9] F. Xiao, Y. Honma, T. Kono, A simple algebraic interface capturing scheme using hyperbolic tangent function, Int. J. Numer. Method in Fluids, 48(2005), 1023-1040.

DOI: 10.1002/fld.975

Google Scholar

[10] F. Xiao, S. Ii, C.G. Chen, Revisit to the THINC scheme: a simple algebraic VOF algorithm, J. Comput. Phys., 230 (2011), 7086-7092.

DOI: 10.1016/j.jcp.2011.06.012

Google Scholar

[11] H.S. Udaykumar, Heng-Chuan Kan, Wei Shyy, Roger Tran-Son-Tay, Multiphase dynamics in arbitray geometries on fixed Cartesian grids, J. Comp, Phys. 137 (1997) 366-405.

DOI: 10.1006/jcph.1997.5805

Google Scholar