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Journal ArticleDOI

Geometric conservation laws for flow problems with moving boundaries and deformable meshes, and their impact on aeroelastic computations

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TLDR
In this paper, a unified theory for deriving Geometric conservation laws (GCLs) for flow problems with moving boundaries is presented, and the impact of these constraints on the solution of coupled aeroelastic problems, and highlight the importance of the GCLs with an illustration of their effect on the computation of a flat panel in transonic flow.
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This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1996-07-15. It has received 387 citations till now. The article focuses on the topics: Finite volume method & Finite element method.

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Book

Computational Fluid Dynamics: Principles and Applications Ed. 3

Jiri Blazek
TL;DR: This updated edition includes new worked programming examples, expanded coverage and recent literature regarding incompressible flows, the Discontinuous Galerkin Method, the Lattice Boltzmann Method, higher-order spatial schemes, implicit Runge-Kutta methods and code parallelization.
Reference EntryDOI

Arbitrary Lagrangian–Eulerian Methods

TL;DR: In this paper, the authors provide an in-depth survey of arbitrary Lagrangian-Eulerian (ALE) methods, including both conceptual aspects of the mixed kinematical description and numerical implementation details.
Journal ArticleDOI

Recent progress in flapping wing aerodynamics and aeroelasticity

TL;DR: In this article, a review of the recent progress in flapping wing aerodynamics and aeroelasticity is presented, where it is realized that a variation of the Reynolds number (wing sizing, flapping frequency, etc.) leads to a change in the leading edge vortex (LEV) and spanwise flow structures, which impacts the aerodynamic force generation.
Journal ArticleDOI

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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Fluid structure interaction with large structural displacements

TL;DR: In this article, the authors propose to decompose the problem into a fluid and a structural part through an additive decomposition of the space of kinematically admissible test functions, which can be discretised in time by implicit, stable, energy conserving time integration schemes and solved by simple, iterative uncoupled algorithms.
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Journal ArticleDOI

Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods

TL;DR: The conservation-law form of the inviscid gasdynamic equations has the remarkable property that the nonlinear flux vectors are homogeneous functions of degree one as mentioned in this paper, which readily permits the splitting of flux vectors into subvectors by similarity transformations so that each subvector has associated with it a specified eigenvalue spectrum.
Journal ArticleDOI

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.
Journal ArticleDOI

A new strategy for finite element computations involving moving boundaries and interfaces—the deforming-spatial-domain/space-time procedure. I: The concept and the preliminary numerical tests

TL;DR: In this paper, a new strategy based on the stabilized space-time finite element formulation is proposed for computations involving moving boundaries and interfaces, where the deformation of the spatial domain with respect to time is taken into account automatically.
Journal ArticleDOI

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.
Journal ArticleDOI

Stabilized finite element methods. I: Application to the advective-diffusive model

TL;DR: In this article, a review of stabilized finite element methods for the Navier-Stokes problem is presented, and a global convergence analysis is presented and numerical experiments are performed, and the design of the stability parameter is confirmed to be a crucial ingredient for simulating the advective-diffusive model, and improved possibilities are suggested.
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