Euler/Navier-Stokes couplings for multiscale aeroacoustic problems

Borrel, M.; Halpern, Laurence; Ryan, Juliette

doi:10.2514/6.2011-3047

Cited by 4 publications

(4 citation statements)

References 20 publications

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“…In these works, different numerical schemes are applied in the atomistic and continuum regions, each restricted to its own subdomain, and the transfer of information from the continuum to the atomistic scale occurs in the overlap region. Schwarz-like methods have also been proposed to couple distinct physics in different subdomains, for example, fluid-structure interaction (Engel and Griebel [18]), and computational fluid dynamics with aero-acoustics (Borrel, Halpern, and Ryan [13] and Ryan, Halpern, and Borrel [52]). In these works, the governing equations are solved alternatively in each subdomain, and the necessary information, such as structure-fluid loading, is transferred through boundary conditions at the interface.…”

Section: Previous Workmentioning

confidence: 99%

The Schwarz alternating method in solid mechanics

Mota

Tezaur

Alleman

2017

Computer Methods in Applied Mechanics and Engineering

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We advance the Schwarz alternating method as a means for concurrent multiscale coupling in finite deformation solid mechanics. We prove that the Schwarz alternating method converges to the solution of the problem on the entire domain and that the convergence rate is geometric provided that each of the subdomain problems is well-posed, i.e. their corresponding energy density functions are quasi-convex. It is shown that the use of a Newton-type method for the solution of the resultant nonlinear system leads to two kinds of block linearized systems, depending on the treatment of the Dirichlet boundary conditions. The first kind is a symmetric block-diagonal linear system in which each diagonal block is the tangent stiffness of each subdomain, i.e. the off-diagonal blocks are all zero and the coupling terms appear only on the right-hand side. The second kind is a nonsymmetric block system with off-diagonal coupling terms. Several variants of the Schwarz alternating method are proposed for the first kind of linear system, including one in which the Schwarz alternating iterations and the Newton iterations are combined into a single scheme. This version of the method is particularly attractive, as it lends itself to a minimally intrusive implementation into existing finite element codes. Finally, we demonstrate the performance of the proposed variants of the Schwarz alternating method on several one-dimensional and three-dimensional examples.

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Section: Previous Workmentioning

confidence: 99%

The Schwarz alternating method in solid mechanics

Mota

Tezaur

Alleman

2017

Computer Methods in Applied Mechanics and Engineering

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“…Schwarz-like methods have also been proposed to couple dynamically distinct physics in different subdomains, for example, fluid-structure interaction, 20 and computational fluid dynamics with aero-acoustics. 21,22 Recent years have additionally seen the development of Schwarz-like methods for coupling conventional and data-driven models, including proper orthogonal decomposition (POD) reduced order models (ROMs) [23][24][25] as well as physics-informed neural networks (PINNs). 26,27 The majority of this work has focused on flow problems and steady elliptic equations, and the resulting hybrid methods are not always constructed for the purpose of multiscale coupling; for example, the main objective of the deep domain decomposition (D3M) approach proposed by Li et al 26 is to reduce the risk of over-fitting when constructing a PINN.…”

Section: Previous Workmentioning

confidence: 99%

The Schwarz alternating method for transient solid dynamics

Mota

Tezaur

Phlipot

2022

Numerical Meth Engineering

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In our earlier work, we formulated the Schwarz alternating method as a means for concurrent multiscale coupling in finite deformation solid mechanics for quasi‐static problems. Herein, we advance this method for the study of transient dynamic multiscale solid mechanics problems where information is exchanged back and forth between small and large scales. The extension to dynamics relies on the notion of a global time stepper. Within each global time step, the subdomains are coupled by the standard Schwarz iterative process. Remarkably, each subdomain can use its own time step or even its own time integrator to advance its solution in time, provided that they synchronize at each global time step. We study the performance of the Schwarz method on several examples designed for this purpose. Our numerical experiments demonstrate that the method is capable of coupling regions with different mesh resolutions, different element types, and different time integration schemes (e.g., implicit and explicit), all without introducing any artifacts that afflict other coupling methods for transient dynamics. Finally, we apply the dynamic Schwarz alternating method to the simulation of a bolted joint subjected to dynamic loading, as a demonstration of the performance of the method in a realistic scenario.

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“…The link between the two solvers CEDRE and SPACE is a two-way surfacic coupling without using a mesh overlapping contrary to what is often implemented in existing approaches [23,27,30,31]. Boundary point location and data exchange are operated via MPI communications thanks to the open source CWIPI coupling library proposed by Quemerais from ONERA [38,44].…”

Section: Coupling Proceduresmentioning

confidence: 99%

“…It suggests that two-way coupling methods need also to be investigated. Implementations of such methods can be found in the works of Borrel et al [30] or Léger et al [31] for two-dimensional and Labbé et al [32] for tri-dimensional applications with structured solvers, but tri-dimensional fully unstructured configurations are quite rare. Langenais et al [15] have carried out a two-way coupled unstructured NS-Euler computation to simulate the noise generated by an overexpanded Mach 3.1 free hot jet.…”

Section: Introductionmentioning

confidence: 99%

Assessment of a Two-Way Coupling Methodology Between a Flow and a High-Order Nonlinear Acoustic Unstructured Solvers

Langenais

Vincent

Peyret

et al. 2018

Flow Turbulence Combust

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A two-way coupling on unstructured meshes between a flow and a high-order acoustic solvers for jet noise prediction is considered. The flow simulation aims at generating acoustic sources in the near field while the acoustic simulation solves the full Euler equations, thanks to a discontinuous Galerkin method, in order to take into account nonlinear acoustic propagation effects. This methodology is firstly validated on academic cases involving nonlinear sound propagation, shock waves and convection of aerodynamic perturbations. The results are compared to analytical solutions and direct computations. A good behaviour of the coupling is found regarding the targeted space applications. An application on a launch pad model is then simulated to demonstrate the robustness and reliability of the present approach.

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Euler/Navier-Stokes couplings for multiscale aeroacoustic problems

Cited by 4 publications

References 20 publications

The Schwarz alternating method in solid mechanics

The Schwarz alternating method in solid mechanics

The Schwarz alternating method for transient solid dynamics

Assessment of a Two-Way Coupling Methodology Between a Flow and a High-Order Nonlinear Acoustic Unstructured Solvers

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