FIVER: A finite volume method based on exact two-phase Riemann problems and sparse grids for multi-material flows with large density jumps

Farhat, Charbel; Gerbeau, Jean-Frédéric; Rallu, Arthur

doi:10.1016/j.jcp.2012.05.026

Cited by 77 publications

(95 citation statements)

References 39 publications

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“…It was then extended to inviscid and viscous FSI problems in [30] and [31], respectively. In [32], it was generalized for the solution of multimaterial flow problems characterized by arbitrary EOS and renamed as FIVER. In summary, when both phases of the Riemann problems are fluids, FIVER is essentially a Godunov-type scheme for multi-phase flow computations.…”

Section: The Embedded Boundary Method: Fivermentioning

confidence: 99%

“…For the same purpose, it is also equipped with robust mesh motion algorithms based on various structural analogies [16,17]. To support embedded flow computations, AERO-F is equipped with the EBM for CFD FIVER [32], and with interface tracking computational algorithms that are described in [20]. In the low-speed limit, AERO-F resorts to low-Mach preconditioning [41] to overcome the usual numerical difficulties encountered in this case by compressible flow solvers.…”

Section: H the Aero Suite Of Codesmentioning

confidence: 99%

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Nonlinear Aeroelastic Analysis of Highly Flexible Flapping Wings Using an ALE Formulation of Embedded Boundary Method

Lakshminarayan

Farhat

2014

52nd Aerospace Sciences Meeting

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Bio-inspired flapping wings have garnered a large amount of attention in achieving the goal of developing energy efficient highly maneuverable hover-capable Micro Air Vehicles (MAVs). Flapping wings are typically very flexible undergoing large deformations, leading to complex nonlinear interactions between aerodynamics and structure. Computational studies are critical to understanding this highly coupled non-linear Fluid Structure Interaction (FSI) problem and to explore the wide design parameter space for developing efficient and robust flapping wing MAVs. Arbitrary Lagrangian-Eulerian (ALE) methods for Computational Fluid Dynamics (CFD) are unfeasible to handle large structural motions and deformations that are seen in flapping wings. Eulerian Embedded Boundary Methods (EBMs) are particularly attractive in this situation. However, EBMs become expensive in viscous FSI problems, since they do not track the boundary layers around bodies because of their Eulerian nature. Recently, the current authors developed an ALE-embedded framework, in which the underlying non body-fitted mesh tracks structure and therefore providing significant computational savings. The focus of the current work is to apply this framework to study highly flexible flapping wings; the initial step being to carefully validate the methodology with an available experimental data. Three different wings of varying flexibility are simulated for a range of flapping frequencies. The calculations show good qualitative agreement with the experimental measurements in predicting the structural deformations as well as the generated thrust. The quantitative differences are primarily attributed to the uncertainties in the structural model. The results indicate that wing flexibility is beneficial for flapping wing aerodynamics, however excessive flexibility can be counter-productive. Flow visualization show the presence of stable leading edge vortex on moderately flexible wings; whereas no stable vortex is evident on highly flexible wing.

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Section: The Embedded Boundary Method: Fivermentioning

confidence: 99%

Section: H the Aero Suite Of Codesmentioning

confidence: 99%

Nonlinear Aeroelastic Analysis of Highly Flexible Flapping Wings Using an ALE Formulation of Embedded Boundary Method

Lakshminarayan

Farhat

2014

52nd Aerospace Sciences Meeting

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“…Examples include underwater explosions and implosions [55,54,17,32], bubble dynamics [44,35,11,1,46], shock wave lithotripsy [42,30], atomization and spray in internal-combustion engines [4,9], aerobreakup [51], and laser induced melting [61,43].…”

Section: Introductionmentioning

confidence: 99%

“…Since the development of the Implicit Continuous-Fluid Eulerian (ICE) method [23] in the late 1960's, there have been many new algorithms developed for simulating compressible multiphase flow [23,18,54,44,35,60,41,32,39,19,9,22,17,11,1,12]. A summary of the key properties of algorithms that have been developed for simulating compressible multiphase flows are given chronologically in Table 1.…”

Section: Introductionmentioning

confidence: 99%

Compressible, multiphase semi-implicit method with moment of fluid interface representation

Jemison

Sussman

Arienti

2014

Journal of Computational Physics

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A unified method for simulating multiphase flows using an exactly mass, momentum, and energy conserving Cell-Integrated SemiLagrangian advection algorithm is presented. The deforming material boundaries are represented using the moment-of-fluid method. The new algorithm uses a semi-implicit pressure update scheme that asymptotically preserves the standard incompressible pressure projection method in the limit of infinite sound speed. The asymptotically preserving attribute makes the new method applicable to compressible and incompressible flows including stiff materials; enabling large time

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“…Recent developments in EBMs have focused primarily on the treatment of wall boundary conditions [15,16,17,18,19,20]. However, a remaining drawback of these methods is that they do not track the boundary layers around dynamic rigid or flexible bodies, essentially because they are Eulerian methods.…”

Section: Introductionmentioning

confidence: 99%

An ALE-Eulerian Formulation of Embedded Boundary Methods for Turbulent Fluid-Structure Interaction Problems

Lakshminarayan

Farhat

2013

21st AIAA Computational Fluid Dynamics Conference

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Eulerian Embedded Boundary Methods (EBMs) for Computational Fluid Dynamics (CFD) are particularly attractive for complex fluid-structure interaction (FSI) problems such as those involving large structural motions and deformations, or topological changes, and for which the alternative Arbitrary Lagrangian-Eulerian (ALE) methods are simply unfeasible because of mesh crossovers. However for viscous flows, EBMs also face many challenges. Chief among them is the fact that they do not track the boundary layers around dynamic rigid or flexible bodies, essentially because they are Eulerian methods. As a result, their application to viscous FSI problems requires either high mesh resolutions in large percentages of the computational fluid domain in order to capture at all times the viscous effects, or adaptive mesh refinement. Unfortunately, these two options are either computationally inefficient, or labor intensive. For this reason, this paper proposes a simple and yet computationally reasonable alternative for maintaining the boundary layers resolved throughout the simulation using an EBM of a turbulent viscous flow past a dynamic body. In this alternative, the underlying non body-fitted mesh is rigidly translated and/or rotated to track the rigid component of the motion of the dynamic obstacle, the flow computations away from the embedded surface are performed using an ALE approach, and the wall boundary conditions are treated by the chosen Eulerian EBM. Hence, the proposed solution of the boundary layer tracking problem can be described as an ALEEulerian formulation and implementation of an otherwise purely Eulerian EBM of interest. The basic features of this approach are illustrated with the Large Eddy Simulation on a non body-fitted mesh of a turbulent flow past an airfoil in heaving motion. Its potential for the simulation of challenging FSI problems at reasonable computational costs is also demonstrated with the computation of a turbulent flow past a highly flexible flapping wing.

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FIVER: A finite volume method based on exact two-phase Riemann problems and sparse grids for multi-material flows with large density jumps

Cited by 77 publications

References 39 publications

Nonlinear Aeroelastic Analysis of Highly Flexible Flapping Wings Using an ALE Formulation of Embedded Boundary Method

Nonlinear Aeroelastic Analysis of Highly Flexible Flapping Wings Using an ALE Formulation of Embedded Boundary Method

Compressible, multiphase semi-implicit method with moment of fluid interface representation

An ALE-Eulerian Formulation of Embedded Boundary Methods for Turbulent Fluid-Structure Interaction Problems

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