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1. Full Text High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: Viscous heat-conducting fluids and elastic solids
by Dumbser, Michael and Peshkov, Ilya and Romenski, Evgeniy and Zanotti, Olindo
Journal of Computational Physics, ISSN 0021-9991, 06/2016, Volume 314, pp. 824 - 862
This paper is concerned with the numerical solution of the first order hyperbolic formulation of continuum mechanics recently proposed by Peshkov and Romenski... 
Unified first order hyperbolic formulation of nonlinear continuum mechanics | Path-conservative methods and stiff source terms | Fluid mechanics and solid mechanics | Viscous compressible fluids and elastic solids | Arbitrary high-order discontinuous Galerkin schemes | ADER–WENO finite volume schemes | ADER-WENO finite volume schemes | ESSENTIALLY NONOSCILLATORY SCHEMES | DISCONTINUOUS GALERKIN METHOD | DIFFUSION-REACTION EQUATIONS | BLOOD-FLOW | PHYSICS, MATHEMATICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | NAVIER-STOKES EQUATIONS | PARTIAL-DIFFERENTIAL-EQUATIONS | SPECTRAL ELEMENT METHOD | GODUNOV-TYPE METHODS | UNSTRUCTURED MESHES | FINITE-VOLUME SCHEMES | Mechanical engineering | Analysis | Differential equations | Computational fluid dynamics | Partial differential equations | Computation | Mathematical analysis | Fluid flow | Mathematical models | Continuum mechanics | Navier-Stokes equations | Mathematics - Numerical Analysis | FLUIDS | STRAINS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | THERMAL CONDUCTION | MATHEMATICAL MODELS | WAVE PROPAGATION | RELAXATION | ASYMPTOTIC SOLUTIONS | FINITE ELEMENT METHOD | ELASTICITY | FLUID MECHANICS | THERMODYNAMICS | FLOW VISUALIZATION | HEAT FLUX
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2. Full Text Dynamics of Elastic Bodies, Solid Particles, and Fluid Parcels in a Compressible Viscous Fluid (Review)
by Guz, A N and Zhuk, A P and Bagno, A M
International Applied Mechanics, ISSN 1063-7095, 9/2016, Volume 52, Issue 5, pp. 449 - 507
The results of linearization of the basic equations describing a compressible viscous fluid in which low-amplitude oscillations occur or solids move or that... 
harmonic wave | acoustic field | prestress | Classical Mechanics | three-dimensional linearized theory | viscous compressible fluid | particle | Applications of Mathematics | radiation force | compressible and incompressible elastic body | Physics | Waveguides | Analysis | Radiation
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3. Full Text Fluid–structure interaction solver for compressible flows with applications to blast loading on thin elastic structures
by Bailoor, Shantanu and Annangi, Aditya and Seo, Jung Hee and Bhardwaj, Rajneesh
Applied Mathematical Modelling, ISSN 0307-904X, 12/2017, Volume 52, pp. 470 - 492
In this study, we report the development and application of a fluid–structure interaction (FSI) solver for compressible flows with large-scale flow-induced... 
Fluid–structure interaction | Blast loading | Immersed boundary method | Flow-induced deformation | Compressible flow | VISCOUS FLOWS | CYLINDER | EQUATIONS | SIMULATION | WAKE | Fluid-structure interaction | EYE | IMMERSED-BOUNDARY METHOD | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | DYNAMICS | BIOLOGICAL-SYSTEMS | SCHEMES | Explosions | Wave propagation
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4. Full Text Compressible Fluids Interacting with a Linear-Elastic Shell
by Breit, Dominic and Breit, Dominic and Schwarzacher, Sebastian and Schwarzacher, Sebastian
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 5/2018, Volume 228, Issue 2, pp. 495 - 562
We study the Navier–Stokes equations governing the motion of an isentropic compressible fluid in three dimensions interacting with a flexible shell of Koiter... 
Physics, general | Fluid- and Aerodynamics | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | Classical Mechanics | EXISTENCE | SYSTEM | MATHEMATICS, APPLIED | UNSTEADY INTERACTION | ENERGY | MECHANICS | NAVIER-STOKES EQUATIONS | MOTION | KOITER TYPE SHELL | WEAK SOLUTIONS | VISCOUS-FLUID | DOMAINS | Mathematics - Analysis of PDEs
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5. Full Text An immersed boundary method for fluid–structure interaction with compressible multiphase flows
by Wang, Li and Currao, Gaetano M.D and Han, Feng and Neely, Andrew J and Young, John and Tian, Fang-Bao
Journal of Computational Physics, ISSN 0021-9991, 10/2017, Volume 346, pp. 131 - 151
This paper presents a two-dimensional immersed boundary method for fluid–structure interaction with compressible multiphase flows involving large structure... 
Fluid–structure interaction | Multiphase flow | Large structure deformations | Immersed-boundary method | Shock wave | Viscous compressible flow | ELASTIC FORCES | NODAL COORDINATE FORMULATION | INCOMPRESSIBLE VISCOUS-FLOW | UNIFORM-FLOW | SIMULATION | PHYSICS, MATHEMATICAL | Fluid-structure interaction | CARTESIAN GRID METHOD | SHOCK-CAPTURING SCHEMES | INTERFACE METHOD | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | DYNAMICS | BIOLOGICAL-SYSTEMS | Fluid dynamics | Analysis | Methods | HYPERSONIC FLOW | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | FLUID-STRUCTURE INTERACTIONS | PLATES | TWO-DIMENSIONAL CALCULATIONS | FINITE ELEMENT METHOD | LAGRANGIAN FUNCTION | SHOCK WAVES | FINITE DIFFERENCE METHOD | FLUID MECHANICS | NAVIER-STOKES EQUATIONS | NONLINEAR PROBLEMS | COMPRESSIBLE FLOW | MULTIPHASE FLOW | EXPERIMENTAL DATA | CYLINDRICAL CONFIGURATION
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6. Full Text Acoustic radiation force of a solid elastic sphere immersed in a cylindrical cavity filled with ideal fluid
by Shi, Jingyao and Zhang, Xiaofeng and Zhang, Guangbin and Chen, Ruimin
Wave Motion, ISSN 0165-2125, 07/2018, Volume 80, pp. 37 - 46
An expression for the acoustic radiation force function on a solid elastic spherical particle placed in an infinite rigid cylindrical cavity filled with an... 
Fluid-filled cylindrical cavity | Acoustic radiation force | Spherical particle | QUASI-GAUSSIAN BEAM | HEAT-CONDUCTING FLUID | PARTICLE | PHYSICS, MULTIDISCIPLINARY | FIELD | RIGID CYLINDER | ACOUSTICS | STANDING-WAVE | PRESSURE | MECHANICS | BESSEL BEAM | VISCOUS-FLUID | COMPRESSIBLE SPHERE | Acoustic properties | Wave propagation | Analysis | Radiation | Biomedical engineering
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7. Full Text Semi-implicit staggered discontinuous Galerkin schemes for axially symmetric viscous compressible flows in elastic tubes
by Ioriatti, Matteo and Dumbser, Michael
Computers and Fluids, ISSN 0045-7930, 05/2018, Volume 167, pp. 166 - 179
We propose a novel family of staggered semi-implicit discontinuous Galerkin (DG) finite element schemes for the simulation of axially symmetric, weakly... 
Staggered grid | Fast transient regime | Large time steps | High order semi-implicit discontinuous Galerkin schemes | Viscous compressible flows | Elastic pipes | Compressibility | Fluid flow | Finite volume method | Velocity distribution | Finite element method | Accuracy | Mathematical analysis | Continuity equation | Tubes | Polynomials | Mathematical models | Conditioning | Nonlinear systems | Symmetry | Incompressible fluids | Cylindrical coordinates | Conjugate gradient method | Conservation equations | Computer simulation | Computational fluid dynamics | Fluid | Momentum | Navier Stokes equations | Velocity | Incompressible flow | Numerical analysis | Equations of state | Algorithms | Friction | Laminar flow
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8. Full Text A regularity result for a solid–fluid system associated to the compressible Navier–Stokes equations
by Boulakia, M and Guerrero, S
Annales de l'Institut Henri Poincare / Analyse non lineaire, ISSN 0294-1449, 2009, Volume 26, Issue 3, pp. 777 - 813
In this paper we deal with a fluid-structure interaction problem for a compressible fluid and a rigid structure immersed in a regular bounded domain in... 
Compressible fluid | Navier–Stokes equations | Fluid–structure interaction | Strong solutions | Fluid-structure interaction | Navier-Stokes equations | EXISTENCE | ELASTIC STRUCTURE | MATHEMATICS, APPLIED | MOTION | WEAK SOLUTIONS | VISCOUS-FLUID | GLOBAL-SOLUTIONS | DISCONTINUOUS INITIAL DATA | Fluid dynamics | Analysis
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9. Full Text On the derivation of macroscopic models for compressible viscoelastic fluids using the generalized bracket framework
by Mackay, A.T and Phillips, T.N
Journal of Non-Newtonian Fluid Mechanics, ISSN 0377-0257, 04/2019, Volume 266, pp. 59 - 71
The generalized bracket framework is used to derive a family of compressible viscoelastic models. The framework accounts for both reversible and non-reversible... 
TENSOR | ENHANCED DRAG | MECHANICS | TEMPERATURE EQUATION | THERMODYNAMICS | BEHAVIOR | DYNAMICS | THERMAL-CONDUCTIVITY | FORMULATION | CONSTITUTIVE EQUATION | EXTRUDATE SWELL | Thermodynamics | Analysis | Viscoelasticity | Compressibility | Computational fluid dynamics | Heat treating | Macroscopic models | Viscoelastic fluids | Strain
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10. Full Text On the influence of finite initial deformations on the phase velocities of quasi-Lamb waves in the incompressible elastic layer interacting with the half-space of a viscous compressible fluid
by A.N. Guz and A.M. Bagno
Доповiдi Нацiональної академiї наук України, ISSN 1025-6415, 07/2019, Volume 7, pp. 26 - 35
The problem of the propagation of quasi-Lamb waves in a pre-deformed incompressible elastic layer that interacts with the half-space of an viscous compressible... 
half-space of viscous compressible fluid | initial deformations | dispersion of waves | incompressible elastic layer
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11. Full Text Effect of Prestresses on the Dispersion of Lamb Waves in a System Consisting of a Viscous Liquid Layer and a Compressible Elastic Layer
by Guz, A N and Bagno, A M
International Applied Mechanics, ISSN 1063-7095, 5/2018, Volume 54, Issue 3, pp. 249 - 258
The propagation of acoustic waves in a pre-deformed compressible elastic layer that interacts with a layer of compressible viscous fluid is studied. The... 
harmonic waves | Classical Mechanics | layer of viscous compressible fluid | Applications of Mathematics | compressible elastic layer | Physics | prestresses
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12. Full Text Effect of Prestresses on Quasi-Lamb Waves in a System Consisting of a Compressible Viscous Liquid Half-Space and an Elastic Layer
by Guz, A N and Bagno, A M
International Applied Mechanics, ISSN 1063-7095, 11/2018, Volume 54, Issue 6, pp. 617 - 627
The problem of propagation quasi-Lamb waves in a prestrained elastic layer interacting with a half-space of compressible viscous fluid is considered. The... 
initial stresses | Classical Mechanics | half-space of viscous compressible fluid | quasi-Lamb waves | Applications of Mathematics | elastic layer | Physics
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13. Full Text Homogenization of a mixture of elastic solids and a slightly viscous fluid
by Boughammoura, Ahmed and Boughammoura, Ahmed
Afrika Matematika, ISSN 1012-9405, 12/2013, Volume 24, Issue 4, pp. 439 - 456
In the framework of the homogenization theory, we study the vibration of a mixture of two elastic solids and a slightly viscous compressible fluid. By using... 
35B27 | Vibration | Homogenization | Mathematics | History of Mathematical Sciences | Elastic materials | Two-scale convergence | 74D05 | 74H45 | 74B05 | Mathematics, general | Mathematics Education | Applications of Mathematics | 35B40 | Slightly viscous fluid
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14. Full Text Regular solutions of a problem coupling a compressible fluid and an elastic structure
by Boulakia, M and Guerrero, S
Journal de mathématiques pures et appliquées, ISSN 0021-7824, 2010, Volume 94, Issue 4, pp. 341 - 365
We are interested in the three-dimensional coupling between a compressible viscous fluid and an elastic structure immersed inside the fluid. They are contained... 
Elasticity | Fluid–structure interaction | Compressible fluids | Fluid-structure interaction | EXISTENCE | MATHEMATICS, APPLIED | UNSTEADY INTERACTION | DISCONTINUOUS INITIAL DATA | MATHEMATICS | NAVIER-STOKES EQUATIONS | MOTION | BODIES | WEAK SOLUTIONS | PLATE | VISCOUS-FLUID | GLOBAL-SOLUTIONS | Analysis of PDEs | Mathematics
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15. Full Text Wave Propagation in an Elastic Layer Interacting with a Viscous Liquid Layer
by Bagno, A M
International Applied Mechanics, ISSN 1063-7095, 3/2016, Volume 52, Issue 2, pp. 133 - 139
The Navier–Stokes three-dimensional linearized equations for a viscous fluid and the linear equations of classical elasticity for an elastic layer are used to... 
Mechanics | layer of viscous compressible fluid | harmonic waves | Applications of Mathematics | elastic layer | Physics | Wave propagation
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16. Full Text Effect of Liquid Viscosity on Dispersion of Quasi-Lamb Waves in an Elastic-Layer–Viscous-Liquid-Layer System
by Guz, A N and Bagno, A M
International Applied Mechanics, ISSN 1063-7095, 7/2017, Volume 53, Issue 4, pp. 361 - 367
The dispersion curves are constructed and propagation of quasi-Lamb waves are studied for wide range of frequencies based on the Navier–Stokes... 
layer of viscous compressible fluid | harmonic waves | Applications of Mathematics | elastic layer | Physics | Classical Mechanics
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