An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries

Journal Article · Fri Dec 10 04:00:00 EST 1999 · Journal of Computational Physics

DOI:https://doi.org/10.1006/jcph.1999.6356· OSTI ID:20005648

Ye, T; Mittal, R; Udaykumar, H S; Shyy, W

A Cartesian grid method has been developed for simulating two-dimensional unsteady, viscous, incompressible flows with complex immersed boundaries. A finite-volume method based on a second-order accurate central-difference scheme is used in conjunction with a two-step fractional-step procedure. The key aspects that need to be considered in developing such a solver are imposition of boundary conditions on the immersed boundaries and accurate discretization of the governing equation in cells that are cut by these boundaries. A new interpolation procedure is presented which allows systematic development of a spatial discretization scheme that preserves the second-order spatial accuracy of the underlying solver. The presence of immersed boundaries alters the conditioning of the linear operators and this can slow down the iterative solution of these equations. The convergence is accelerated by using a preconditioned conjugate gradient method where the preconditioner takes advantage of the structured nature of the underlying mesh. The accuracy and fidelity of the solver is validated by simulating a number of canonical flows and the ability of the solver to simulate flows with very complicated immersed boundaries is demonstrated.

• Research Organization: Univ. of Florida, Gainesville, FL (US)
• OSTI ID: 20005648
• Journal Information: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 2 Vol. 156; ISSN 0021-9991; ISSN JCTPAH
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
99 GENERAL AND MISCELLANEOUS
BOUNDARY CONDITIONS
CALCULATION METHODS
CONVERGENCE
INCOMPRESSIBLE FLOW
MESH GENERATION
TWO-DIMENSIONAL CALCULATIONS
VISCOUS FLOW