Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
Volume 76, Issue 6, Pages 366-395Publisher
WILEY
DOI: 10.1002/fld.3937
Keywords
embedded boundary method; distance to the wall; fluid-structure interaction; immersed boundary method; load computation; Riemann solver; turbulent flows; viscous flows
Categories
Funding
- Office of Naval Research [N00014-11-1-0538]
- Army Research Laboratory through the Army High Performance Computing Research Center [W911NF-07-2-0027]
- Department of Energy (DOE) National Nuclear Security Administration (NNSA) Stewardship Science Graduate Fellowship
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The finite volume method with exact two-phase Riemann problems (FIVER) is a two-faceted computational method for compressible multi-material (fluid-fluid, fluid-structure, and multi-fluid-structure) problems characterized by large density jumps, and/or highly nonlinear structural motions and deformations. For compressible multi-phase flow problems, FIVER is a Godunov-type discretization scheme characterized by the construction and solution at the material interfaces of local, exact, two-phase Riemann problems. For compressible fluid-structure interaction (FSI) problems, it is an embedded boundary method for computational fluid dynamics (CFD) capable of handling large structural deformations and topological changes. Originally developed for inviscid multi-material computations on nonbody-fitted structured and unstructured grids, FIVER is extended in this paper to laminar and turbulent viscous flow and FSI problems. To this effect, it is equipped with carefully designed extrapolation schemes for populating the ghost fluid values needed for the construction, in the vicinity of the fluid-structure interface, of second-order spatial approximations of the viscous fluxes and source terms associated with Reynolds averaged Navier-Stokes (RANS)-based turbulence models and large eddy simulation (LES). Two support algorithms, which pertain to the application of any embedded boundary method for CFD to the robust, accurate, and fast solution of FSI problems, are also presented in this paper. The first one focuses on the fast computation of the time-dependent distance to the wall because it is required by many RANS-based turbulence models. The second algorithm addresses the robust and accurate computation of the flow-induced forces and moments on embedded discrete surfaces, and their finite element representations when these surfaces are flexible. Equipped with these two auxiliary algorithms, the extension of FIVER to viscous flow and FSI problems is first verified with the LES of a turbulent flow past an immobile prolate spheroid, and the computation of a series of unsteady laminar flows past two counter-rotating cylinders. Then, its potential for the solution of complex, turbulent, and flexible FSI problems is also demonstrated with the simulation, using the Spalart-Allmaras turbulence model, of the vertical tail buffeting of an F/A-18 aircraft configuration and the comparison of the obtained numerical results with flight test data. Copyright (C) 2014 John Wiley & Sons, Ltd.
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