Higher-order time integration through smooth mesh deformation for 3D fluid–structure interaction simulations

Zuijlen, A.H. van; Boer, A. de; Bijl, H.

doi:10.1016/j.jcp.2007.03.024

Cited by 84 publications

(68 citation statements)

References 38 publications

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“…Several explicit (also known as loosely or weakly coupled) partitioned techniques exist [64,65,116,153,154,209,210]. These techniques solve the flow equations and the structural equations separately and only once in each time step.…”

Section: Explicit Couplingmentioning

confidence: 99%

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Partitioned Simulation of Fluid-Structure Interaction

Degroote¹

2013

Arch Computat Methods Eng

123

107

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In this review article, the focus is on partitioned simulation techniques for strongly coupled fluid-structure interaction problems, especially on techniques which use at least one of the solvers as a black box. First, a number of analyses are reviewed to explain why Gauss-Seidel coupling iterations converge slowly or not at all for fluid-structure interaction problems with strong coupling. This provides the theoretical basis for the fast convergence of quasi-Newton and multi-level techniques. Second, several partitioned techniques that couple two black-box solvers are compared with respect to implementation and performance. Furthermore, performance comparisons between partitioned and monolithic techniques are examined. Subsequently, two similar techniques to couple a black-box solver with an accessible solver are analyzed. In addition, several other techniques for fluid-structure interaction simulations are studied and various methods to take into account deforming fluid domains are discussed.

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Section: Explicit Couplingmentioning

confidence: 99%

“…Later, van Zuijlen et al [209] investigated the effect of a coarse grid correction or prediction. In their study, only the fluid grid was coarsened.…”

Section: Explicit Couplingmentioning

confidence: 99%

Partitioned Simulation of Fluid-Structure Interaction

Degroote¹

2013

Arch Computat Methods Eng

123

107

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“…the structure is weak, e.g. in aeroelastic simulations, only one coupling iteration is required within each time step [1,[26][27][28] but these so-called staggered or loosely-coupled methods do not enforce the equilibrium conditions on the fluid-structure interface within each time step. The FSI problem can also be written as a nonlinear problem in both the discrete interface position and the stress on the interface, with again all other variables internal to the residual operator of the problem.…”

Section: Introductionmentioning

confidence: 99%

Performance of a new partitioned procedure versus a monolithic procedure in fluid–structure interaction

Degroote

Bathe

Vierendeels

2009

Computers & Structures

389

391

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a b s t r a c tFluid-structure interaction (FSI) can be simulated in a monolithic way by solving the flow and structural equations simultaneously and in a partitioned way with separate solvers for the flow equations and the structural equations. A partitioned quasi-Newton technique which solves the coupled problem through nonlinear equations corresponding to the interface position is presented and its performance is compared with a monolithic Newton algorithm. Various structural configurations with an incompressible fluid are solved, and the ratio of the time for the partitioned simulation, when convergence is reached, to the time for the monolithic simulation is found to be between 1/2 and 4. However, in this comparison of the partitioned and monolithic simulations, the flow and structural equations have been solved with a direct sparse solver in full Newton-Raphson iterations, only relatively small problems have been solved and this ratio would likely change if large industrial problems were considered or if other solution strategies were used.

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“…However, equation (2.21) does not in itself enable the prescription of the face integrated grid speeds, since there are more grid faces than volumes. Following references [12,19] the right hand side can be further decomposed into the time derivative of the volume swept by each constituent face, providing a set of equations determining the face integrated grid speed terms as:…”

Section: Geometric Conservation Lawmentioning

confidence: 99%

Time Spectral Method for Periodic and Quasi-Periodic Unsteady Computations on Unstructured Meshes

Mavriplis

Yang

2011

Math. Model. Nat. Phenom.

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Abstract. For flows with strong periodic content, time-spectral methods can be used to obtain time-accurate solutions at substantially reduced cost compared to traditional time-implicit methods which operate directly in the time domain. However, these methods are only applicable in the presence of fully periodic flows, which represents a severe restriction for many aerospace engineering problems. This paper presents an extension of the time-spectral approach for problems that include a slow transient in addition to strong periodic behavior, suitable for applications such as transient turbofan simulation or maneuvering rotorcraft calculations. The formulation is based on a collocation method which makes use of a combination of spectral and polynomial basis functions and results in the requirement of solving coupled time instances within a period, similar to the time spectral approach, although multiple successive periods must be solved to capture the transient behavior.The implementation allows for two levels of parallelism, one in the spatial dimension, and another in the time-spectral dimension, and is implemented in a modular fashion which minimizes the modifications required to an existing steady-state solver. For dynamically deforming mesh cases, a formulation which preserves discrete conservation as determined by the Geometric Conservation Law is derived and implemented. A fully implicit approach which takes into account the coupling between the various time instances is implemented and shown to preserve the baseline steady-state multigrid convergence rate as the number of time instances is increased. Accuracy and efficiency are demonstrated for periodic and non-periodic problems by comparing the performance of the method with a traditional time-stepping approach using a simple two-dimensional pitching airfoil problem, a three-dimensional pitching wing problem, and a more realistic transitioning rotor problem.

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Higher-order time integration through smooth mesh deformation for 3D fluid–structure interaction simulations

Cited by 84 publications

References 38 publications

Partitioned Simulation of Fluid-Structure Interaction

Partitioned Simulation of Fluid-Structure Interaction

Performance of a new partitioned procedure versus a monolithic procedure in fluid–structure interaction

Time Spectral Method for Periodic and Quasi-Periodic Unsteady Computations on Unstructured Meshes

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