Finite-difference immersed boundary method consistent with wall conditions for incompressible turbulent flow simulations

Journal Article · Mon Oct 01 04:00:00 EDT 2007 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2007.05.028· OSTI ID:21028276

Ikeno, Tsutomu ^[1]; Kajishima, Takeo ^[2]

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1. Nuclear Fuel Industries, Ltd., 950, Asashiro Nishi, 1-Chome, Kumatori-Cho, Sennan-Gun, Osaka, 590-0481 (Japan)
2. Department of Mechanical Engineering, Osaka University, Yamadaoka, Suita, Osaka 565-0871 (Japan)

An immersed boundary method to achieve the consistency with a desired wall velocity was developed. Existing schemes of immersed boundary methods for incompressible flow violate the wall condition in the discrete equation system during time-advancement. This problem arises from the inconsistency of the pressure with the velocity interpolated to represent the solid wall, which does not coincide with the computational grid. The numerical discrepancy does not become evident in the laminar flow simulation but in the turbulent flow simulation. To eliminate this inconsistency, a modified pressure equation based on the interpolated pressure gradient was derived for the spatial second-order discrete equation system. The conservation of the wall condition, mass, momentum and energy in the present method was theoretically demonstrated. To verify the theory, large eddy simulations for a plane channel, circular pipe and nuclear rod bundle were successfully performed. Both these theoretical and numerical validations improve the reliability and the applicability of the immersed boundary method.

• OSTI ID: 21028276
• Journal Information: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 2 Vol. 226; ISSN JCTPAH; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EQUATIONS
FINITE DIFFERENCE METHOD
FUEL ELEMENT CLUSTERS
INCOMPRESSIBLE FLOW
LAMINAR FLOW
PRESSURE GRADIENTS
REYNOLDS NUMBER
SIMULATION
TURBULENT FLOW
VALIDATION
WALLS