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Partitioned procedures for the transient solution of coupled aeroelastic problems – Part II: energy transfer analysis and three-dimensional applications

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TLDR
In this paper, the authors present a mathematical framework for assessing some important numerical properties of the chosen partitioned procedure, and predicting its performance for realistic applications based on the estimation of the energy that is artificially introduced at the fluid/structure interface by the staggering process.
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This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2001-03-02. It has received 405 citations till now. The article focuses on the topics: Aeroelasticity.

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Citations
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Added-mass effect in the design of partitioned algorithms for fluid-structure problems

TL;DR: A simplified model representing the interaction between a potential fluid and a linear elastic thin tube is considered, which reproduces propagation phenomena and takes into account the added-mass effect of the fluid on the structure, which is known to be source of numerical difficulties.
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Isogeometric fluid-structure interaction: theory, algorithms, and computations

TL;DR: A fully-coupled monolithic formulation of the fluid-structure interaction of an incompressible fluid on a moving domain with a nonlinear hyperelastic solid is presented.
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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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Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows

TL;DR: In this article, a discrete representation of the added mass operatorMA is given and ''instability conditions'' are evaluated for different temporal discretisation schemes and it is proven that for every sequentially staggered scheme and given spatial discretization of a problem, a mass ratio between fluid and structural mass density can be found at which the coupled system becomes unstable.
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Performance of a new partitioned procedure versus a monolithic procedure in fluid-structure interaction

TL;DR: In this paper, a partitioned quasi-Newton technique is presented to solve the coupled FSI problem through nonlinear equations corresponding to the interface position and its performance is compared with a monolithic Newton algorithm.
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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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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Unsteady Euler airfoil solutions using unstructured dynamic meshes

TL;DR: In this article, two algorithms for the solution of the time-dependent Euler equations are presented for unsteady aerodynamic analysis of oscillating airfoils for use on an unstructured grid made up of triangles.
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Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity

TL;DR: This paper considers the realistic situation where the fluid and structure subproblems have different resolution requirements and their computational domains have non-matching discrete interfaces, and addresses the proper discretization of the governing interface boundary conditions.
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