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Two efficient staggered algorithms for the serial and parallel solution of three-dimensional nonlinear transient aeroelastic problems

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TLDR
This paper proposes two alternative serial and parallel staggered algorithms for the solution of coupled transient aeroelastic problems, and demonstrates their superior accuracy and computational efficiency with the flutter analysis of the AGARD Wing 445.6.
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This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2000-02-18. It has received 465 citations till now. The article focuses on the topics: Flutter & Aeroelasticity.

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A bridging domain method for coupling continua with molecular dynamics

TL;DR: In this article, a bridging domain method for coupling continuum models with molecular models is described, where the continuum and molecular domains are overlapped by bridging sub-domains, and the Hamiltonian is taken to be a linear combination of the continuous and molecular Hamiltonians.
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Coupling of atomistic and continuum simulations using a bridging scale decomposition

TL;DR: In this paper, the authors present a method for coupling molecular dynamics (MD) and continuum mechanics simulations that is based on the projection of the MD solution onto the coarse scale shape functions.
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A monolithic approach to fluid–structure interaction using space–time finite elements

TL;DR: In this article, the authors present a simultaneous solution procedure for fluid-structure interaction problems, where the structural motion is described by geometrically nonlinear elastodynamics, and the fluid is modeled by the incompressible Navier-Stokes equations.
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Curvilinear immersed boundary method for simulating fluid structure interaction with complex 3D rigid bodies

TL;DR: Numerical experiments for fluid structure interaction (FSI) problems involving complex 3D rigid bodies undergoing large structural displacements suggest that both the properties of the structure and local flow conditions can play an important role in determining the stability of the FSI algorithm.
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A three-dimensional computational analysis of fluid-structure interaction in the aortic valve

TL;DR: Results show that during systole the leaflets of the stented valve appear to be moving with the fluid in an essentially kinematical process governed by the fluid motion.
References
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Journal ArticleDOI

Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes

TL;DR: In this article, it is shown that these features can be obtained by constructing a matrix with a certain property U, i.e., property U is a property of the solution of the Riemann problem.
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Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method

TL;DR: In this article, a second-order extension of the Lagrangean method is proposed to integrate the equations of ideal compressible flow, which is based on the integral conservation laws and is dissipative, so that it can be used across shocks.
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An arbitrary lagrangian-eulerian finite element method for transient dynamic fluid-structure interactions

TL;DR: In this article, an arbitrary Lagrangian-Eulerian kinematical description of the fluid domain is adopted in which the grid points can be displaced independently of fluid motion.
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Geometric Conservation Law and Its Application to Flow Computations on Moving Grids

P. D. Thomas, +1 more
- 01 Oct 1979 - 
TL;DR: In this article, a geometric conservation law (GCL) is formulated that governs the spatial volume element under an arbitrary mapping and the GCL is solved numerically along with the flow conservation laws using conservative difference operators.
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Partitioned analysis of coupled mechanical systems

TL;DR: This is a tutorial article that reviews the use of partitioned analysis procedures for the analysis of coupled dynamical systems using the partitioned solution approach for multilevel decomposition aimed at massively parallel computation.
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