期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 229, 期 5, 页码 1698-1723出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2009.11.003
关键词
Incompressible Navier-Stokes equations; Artificial compressibility method; Asymptotic analysis; Acoustic wave; Lattice Boltzmann
资金
- Japan Society for the Promotion of Science (JSPS) [21560173]
- Grants-in-Aid for Scientific Research [21560173] Funding Source: KAKEN
The artificial compressibility method for the incompressible Navier-Stokes equations is revived as a high order accurate numerical method (fourth order in space and second order in time). Similar to the lattice Boltzmann method, the mesh spacing is linked to the Mach number. An accuracy higher than that of the lattice Boltzmann method is achieved by exploiting the asymptotic behavior of the solution of the artificial compressibility equations for small Mach numbers and the simple lattice structure. An easy method for accelerating the decay of acoustic waves, which deteriorate the quality of the numerical solution, and a simple cure for the checkerboard instability are proposed. The high performance of the scheme is demonstrated not only for the periodic boundary condition but also for the Dirichlet-type boundary condition. (C) 2009 Elsevier Inc. All rights reserved.
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