A moving control volume approach to computing hydrodynamic forces and torques on immersed bodies

Nangia, Nishant; Johansen, Hans; Patankar, Neelesh A.; Bhalla, Amneet Pal Singh

doi:10.1016/j.jcp.2017.06.047

Title: A moving control volume approach to computing hydrodynamic forces and torques on immersed bodies

Journal Article · 01 October 2017 · Journal of Computational Physics

DOI: https://doi.org/10.1016/j.jcp.2017.06.047 · OSTI ID:1379929

Nangia, Nishant ^[1]; Johansen, Hans ^[2]; Patankar, Neelesh A. ^[3];

^[2]

Northwestern Univ., Evanston, IL (United States). Dept. of Engineering Sciences and Applied Mathematics
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Applied Numerical Algorithms Group
Northwestern Univ., Evanston, IL (United States). Dept. of Engineering Sciences and Applied Mathematics, Dept. of Mechanical Engineering

Here, 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) velo city 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.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21); National Science Foundation (NSF); National Institutes of Health (NIH)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1379929

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: C Vol. 347; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Title: A moving control volume approach to computing hydrodynamic forces and torques on immersed bodies

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