Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 347, Issue -, Pages 437-462Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2017.06.047
Keywords
Immersed boundary method; Spurious force oscillations; Reynolds transport theorem; Adaptive mesh refinement; Fictitious domain method; Lagrange multipliers
Funding
- National Science Foundation Graduate Research Fellowship Program (NSF) [DGE-1324585]
- National Science Foundation (NSF) [SI2-SSI-1450374]
- U.S. Department of Energy, Office of Science, ASCR [DE-AC02-05CH11231]
- NIH [HL117163]
- National Science Foundation [ACI 1450327]
Ask authors/readers for more resources
We present a moving control volume (CV) approach to computing hydrodynamic forces and torques on complex geometries. The method requires surface and volumetric integrals over a simple and regular Cartesian box that moves with an arbitrary velocity to enclose the body at all times. The moving box is aligned with Cartesian grid faces, which makes the integral evaluation straightforward in an immersed boundary (IB) framework. Discontinuous and noisy derivatives of velocity and pressure at the fluid-structure interface are avoided and far-field (smooth) velocity and pressure information is used. We re-visit the approach to compute hydrodynamic forces and torques through force/torque balance equations in a Lagrangian frame that some of us took in a prior work (Bhalla et al., 2013 [13]). We prove the equivalence of the two approaches for IB methods, thanks to the use of Peskin's delta functions. Both approaches are able to suppress spurious force oscillations and are in excellent agreement, as expected theoretically. Test cases ranging from Stokes to high Reynolds number regimes are considered. We discuss regridding issues for the moving CV method in an adaptive mesh refinement (AMR) context. The proposed moving CV method is not limited to a specific IB method and can also be used, for example, with embedded boundary methods. Published by Elsevier Inc.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available