Time integration schemes for the unsteady incompressible Navier-Stokes equations

Journal Article · Sun May 01 00:00:00 EDT 1994 · Journal of Computational Physics; (United States)

DOI:https://doi.org/10.1006/jcph.1994.1091· OSTI ID:6979733

Marx, Y P ^[1]

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1. Ecole Polytechnique Federale de Lausanne, Lausanne (Switzerland)

Several A-stable integration schemes for the solution of the unsteady Navier-Stokes equations for an incompressible fluid are investigated. The numerical procedure follows the method of lines which leads to the solution of a non-linear system of ordinary differential equations after the discretization of the spatial derivatives. The non-linear system is solved iteratively using the artificial compressibility method combined with an implicit upwind scheme. Thorough numerical studies are performed to evaluate the characteristics of the integration schemes. The tests are conducted on two flow problems representative of transient and periodic motions. 31 refs., 46 figs., 7 tabs.

• OSTI ID: 6979733
• Journal Information: Journal of Computational Physics; (United States), Journal Name: Journal of Computational Physics; (United States) Vol. 112:1; ISSN 0021-9991; ISSN JCTPAH
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
COMPUTERIZED SIMULATION
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
INCOMPRESSIBLE FLOW
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
SIMULATION
UNSTEADY FLOW