An efficient parallel/unstructured-multigrid preconditioned implicit method for simulating 3D unsteady compressible flows with moving objects

Lv, Xuebin; Zhao, Yong; Huang, Xiaoyang; Xia, Guohua; Wang, Zhi Jian

doi:10.1016/j.jcp.2005.11.012

Cited by 28 publications

(34 citation statements)

References 44 publications

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“…For every vertex, as shown in Fig. 1, a control volume is constructed using the median dual of the tetrahedral grid [19]. In Fig.…”

Section: Discretization Of the Displacement Equationsmentioning

confidence: 99%

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A matrix-free implicit unstructured multigrid finite volume method for simulating structural dynamics and fluid–structure interaction

Lv¹,

Zhao²,

Xiao³

et al. 2007

Journal of Computational Physics

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“…For every vertex, as shown in Fig. 1, a control volume is constructed using the median dual of the tetrahedral grid [19]. In Fig.…”

Section: Discretization Of the Displacement Equationsmentioning

confidence: 99%

“…(2.24). In this work, a five-stage Runge-Kutta time integration algorithm is used to march the numerical solution in pseudo time s until convergence is reached [19]. Therefore, the converged solution from the pseudo time steady-state equations becomes the time accurate solution at current physical time.…”

Section: ð2:17þmentioning

confidence: 99%

A matrix-free implicit unstructured multigrid finite volume method for simulating structural dynamics and fluid–structure interaction

Lv¹,

Zhao²,

Xiao³

et al. 2007

Journal of Computational Physics

Self Cite

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“…To achieve matrix-free operation and to use a larger time step size, a dual time-stepping scheme [35] is adopted by adding a pseudo time derivative term to Eq. (6).…”

Section: Temporal Discretization and Integrationmentioning

confidence: 99%

An unstructured finite volume approach for structural dynamics in response to fluid motions

Xia

Lin

2008

Computers & Structures

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A new cell-vortex unstructured finite volume method for structural dynamics is assessed for simulations of structural dynamics in response to fluid motions. A robust implicit dual-time stepping method is employed to obtain time accurate solutions. The resulting system of algebraic equations is matrix-free and allows solid elements to include structure thickness, inertia, and structural stresses for accurate predictions of structural responses and stress distributions. The method is coupled with a fluid dynamics solver for fluid-structure interaction, providing a viable alternative to the finite element method for structural dynamics calculations. A mesh sensitivity test indicates that the finite volume method is at least of second-order accuracy. The method is validated by the problem of vortex-induced vibration of an elastic plate with different initial conditions and material properties. The results are in good agreement with existing numerical data and analytical solutions. The method is then applied to simulate a channel flow with an elastic wall. The effects of wall inertia and structural stresses on the fluid flow are investigated.

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“…Furthermore, it seems likely that the other reasons are complexity and nonlinearity in the mathematical formulation of the problems and also some restrictions in implementing the known numerical methods. For instance it may be referred to a Lagrangian numerical method used in [17] for compressible multiphase flows, finite elements method in [1], a parallel unstructuredmultigrid preconditioned implicit method in [5] and an adjoint method in [10].…”

Section: Introductionmentioning

confidence: 99%

Shape optimization of an airfoil in the presence of compressible and viscous flows

Farhadinia

2009

Comput Optim Appl

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An efficient parallel/unstructured-multigrid preconditioned implicit method for simulating 3D unsteady compressible flows with moving objects

Cited by 28 publications

References 44 publications

A matrix-free implicit unstructured multigrid finite volume method for simulating structural dynamics and fluid–structure interaction

A matrix-free implicit unstructured multigrid finite volume method for simulating structural dynamics and fluid–structure interaction

An unstructured finite volume approach for structural dynamics in response to fluid motions

Shape optimization of an airfoil in the presence of compressible and viscous flows

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