Comparison of discontinuous Galerkin time integration schemes for the solution of flow problems with deformable domains

Bublík, Ondřej; Vimmr, Jan; Jonášová, Alena

doi:10.1016/j.amc.2015.03.063

Cited by 7 publications

(5 citation statements)

References 23 publications

(37 reference statements)

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“…The detailed view of the mesh in the vicinity of the three flat plates is shown in Figure 5 (right). For the computation of the deformed coordinates of mesh nodes, the blending function approach is used, see [15], [16]. In this paper the blending function is generalized for three independently moving flat plates, Figure 4.…”

Section: Numerical Resultsmentioning

confidence: 99%

Numerical Analysis of Flutter Instability in Simplified Blade Cascade

Vimmr¹,

Bublík²,

Pecka³

et al. 2017

Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. In this paper the occurrence of flutter in a simplified blade cascade is analysed. The simplified blade cascade is formed by three flat plates, which perform a kinematic harmonic motion, each with a different inter-blade phase angle. The inter-blade phase angles are chosen in order for travelling wave mode of vibration to be present. The aim of the simulations is to determine the aerodynamic damping coefficients caused by the aerodynamic forces acting on the flat plates, which show whether flutter occurs. The non-linear system of Favre-averaged NavierStokes equations in ALE formulation completed by the Spalart-Allmaras turbulence model was chosen as the mathematical model. The simulations were performed using the developed inhouse CFD software based on the discontinuous Galerkin method, which offers high order of accuracy.

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Section: Numerical Resultsmentioning

confidence: 99%

Numerical Analysis of Flutter Instability in Simplified Blade Cascade

Vimmr¹,

Bublík²,

Pecka³

et al. 2017

Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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“…The system of linear equations (6) is solved iteratively using the GMRES method with block diagonal Jacobi preconditioner. For the computation of deformed mesh points coordinates, the blending function approach was used [10], [11]. For our purpose, the blending function was generalized for three independently moving blades.…”

Section: Discretizationmentioning

confidence: 99%

Numerical simulation of fluid flow through simplified blade cascade with prescribed harmonic motion using discontinuous Galerkin method

et al. 2018

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This paper deals with a numerical simulation of compressible viscous fluid flow around three flat plates with prescribed harmonic motion. This arrangement presents a simplified blade cascade with forward wave motion. The aim of this simulation is to determine the aerodynamic forces acting on the flat plates. The mathematical model describing this problem is formed by Favre-averaged system of Navier-Stokes equations in arbitrary Lagrangian-Eulerian (ALE) formulation completed by one-equation Spalart-Allmaras turbulence model. The simulation was performed using the developed in-house CFD software based on discontinuous Galerkin method, which offers high order of accuracy.

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“…These problems can be solved in two different ways. The first option is to prescribe a motion to the rotor, in which case, the governing equations are solved using the arbitrary Lagrangian-Eulerian method [2,12]. The second option is to change the perspective from a stationary frame of reference to the non-inertial rotating reference frame that follows the precession of the rotor.…”

Section: Introductionmentioning

confidence: 99%

Curvilinear element of the discontinuous Galerkin method designed to capture the labyrinth seal geometry exactly

Bublík

Pecka

Vimmr

2022

ACM

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The present study applies the discontinuous Galerkin finite element method to a numerical simulation of a compressible fluid flow through a labyrinth seal. This paper is proposes a curvilinear hexahedral element, which is deformed in such a way that it matches the rotated walls of the labyrinth seal exactly. A numerical study is performed on the staggered labyrinth seal with two teeth on the rotor and one tooth on the stator. For numerical simulation, three computational meshes with different refinement are considered. All of the numerical simulations are performed for both stationary rotor and for rotor rotating at 50 Hz. The obtained numerical results are compared with results computed by the commercial CFD software Ansys Fluent.

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Comparison of discontinuous Galerkin time integration schemes for the solution of flow problems with deformable domains

Cited by 7 publications

References 23 publications

Numerical Analysis of Flutter Instability in Simplified Blade Cascade

Numerical Analysis of Flutter Instability in Simplified Blade Cascade

Numerical simulation of fluid flow through simplified blade cascade with prescribed harmonic motion using discontinuous Galerkin method

Curvilinear element of the discontinuous Galerkin method designed to capture the labyrinth seal geometry exactly

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