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.

Finite volume (FV) implementation of ACM by OpenFOAM® for lid driven cavity flow [C++]

ACM example code for Minion-Brown flow (including post-processing) [FORTRAN], thanks to Martin Geier for pointing out a small bug in the previous version

ACM example code for traveling Taylor-Green vortex flow with forcing [FORTRAN]


  1. ASINARI P., OHWADA T., CHIAVAZZO E., DI RIENZO A.F., Link-wise artificial compressibility method, JOURNAL OF COMPUTATIONAL PHYSICS, pp. 5109-5143, Vol. 231, ISSN: 0021-9991, [pre-print] [DOI] (2012).

  2. OHWADA T., ASINARI P., YABUSAKI D., Artificial Compressibility Method and Lattice Boltzmann Method: Similarities and Differences, COMPUTERS &MATHEMATICS WITH APPLICATIONS, Vol. 61, pp. 3461-3474, ISSN: 0898-1221, [pre-print] [DOI] (2011).

  3. 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).

  4. ASINARI P., OHWADA T., Connection between kinetic methods for fluid-dynamic equations and macroscopic finite-difference schemes, COMPUTERS & MATHEMATICS WITH APPLICATIONS, pp. 841-861, 2009, Vol. 58, ISSN: 0898-1221, [pre-print] [DOI] (2008).

  5. 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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