by T. Ohwada and P. Asinari      Artificial Compressibility Method

We think that good ideas should spread like viruses, pushed by evidences collected by different users. We sincerely hope that this will happen to the Artificial Compressibility Method (ACM) for incompressible Navier-Stokes equations.It is worth while checking whether your LBM code is superior to this simple code or not. Preliminary calculations suggest that ACM yields poorer results than LBM-MRT if the time step is the same, but if the linear combination of two ACM solutions is computed, it yields nearly the same quality as that of MRT. Please let us know your comments !

ACM example code [FORTRAN]

References

  1. OHWADA T., ASINARI P., YABUSAKI D., Artificial Compressibility Method and Lattice Boltzmann Method: Similarities and Differences, COMPUTERS &MATHEMATICS WITH APPLICATIONS, In Press, ISSN: 0898-1221, [pre-print] (2010).


  2. OHWADA T., ASINARI P., Artificial Compressibility Method Revisited: Asymptotic Numerical Method for Incompressible Navier-Stokes Equations, JOURNAL OF COMPUTATIONAL PHYSICS, pp. 1698-1723, Vol. 229, ISSN: 0021-9991, [pre-print] [DOI] (2010).


  3. T. OHWADA, P. ASINARI, On the Potential Abilities of Artificial Compressibility, Sixth International Conference for Mesoscopic Methods in Engineering and Science, Guangzhou City, Guangdong (Canton) Province, China July 13-17, 2009.




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