An added-mass partition algorithm for fluid–structure interactions of compressible fluids and nonlinear solids

Journal Article · Fri Jan 15 00:00:00 EST 2016 · Journal of Computational Physics

DOI:https://doi.org/10.1016/J.JCP.2015.10.043· OSTI ID:22570219

Banks, J.W., E-mail: [e-mail]; Henshaw, W.D., E-mail: [e-mail]; Kapila, A.K., E-mail: [e-mail]; Schwendeman, D.W., E-mail: [e-mail]

We describe an added-mass partitioned (AMP) algorithm for solving fluid–structure interaction (FSI) problems involving inviscid compressible fluids interacting with nonlinear solids that undergo large rotations and displacements. The computational approach is a mixed Eulerian–Lagrangian scheme that makes use of deforming composite grids (DCG) to treat large changes in the geometry in an accurate, flexible, and robust manner. The current work extends the AMP algorithm developed in Banks et al. [1] for linearly elasticity to the case of nonlinear solids. To ensure stability for the case of light solids, the new AMP algorithm embeds an approximate solution of a nonlinear fluid–solid Riemann (FSR) problem into the interface treatment. The solution to the FSR problem is derived and shown to be of a similar form to that derived for linear solids: the state on the interface being fundamentally an impedance-weighted average of the fluid and solid states. Numerical simulations demonstrate that the AMP algorithm is stable even for light solids when added-mass effects are large. The accuracy and stability of the AMP scheme is verified by comparison to an exact solution using the method of analytical solutions and to a semi-analytical solution that is obtained for a rotating solid disk immersed in a fluid. The scheme is applied to the simulation of a planar shock impacting a light elliptical-shaped solid, and comparisons are made between solutions of the FSI problem for a neo-Hookean solid, a linearly elastic solid, and a rigid solid. The ability of the approach to handle large deformations is demonstrated for a problem of a high-speed flow past a light, thin, and flexible solid beam.

• OSTI ID: 22570219
• Journal Information: Journal of Computational Physics, Vol. 305; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACCURACY
ALGORITHMS
ANALYTICAL SOLUTION
COMPUTERIZED SIMULATION
DEFORMATION
ELASTICITY
EXACT SOLUTIONS
FLUIDS
FLUID-STRUCTURE INTERACTIONS
IMPACT SHOCK
IMPEDANCE
NONLINEAR PROBLEMS
SOLIDS
VELOCITY