Efficient use of the local discontinuous Galerkin method for meshes sliding on a circular boundary

Alotto, Piergiorgio; Bertoni, Arinna; Perugia, Ilaria; Schötzau, Dominik

doi:10.1109/20.996108

Cited by 5 publications

(6 citation statements)

References 14 publications

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“…(21) and check the solver convergence properties using a NACA0015 at zero angle of attack (AOA) and two Reynolds numbers (i.e. Re = 100 and 500).…”

Section: Non-rotating Casesmentioning

confidence: 99%

“…Firstly, we compare two simulations using the 2D DG solver for a mesh constituted of straight edged triangles and a triangular-quadrilateral mesh that uses the analytical NACA boundaries, Eq. (21). The triangular mesh has a total of 988 elements of which 64 are fitted to the airfoil surface to define the geometry.…”

Section: Non-rotating Casesmentioning

confidence: 99%

“…Purely DG discretisations in conjunction with the sliding mesh approach, have been used for the solution of electromagnetic problems (i.e. Maxwell equations) [21,22]. In [22], it was shown that to solve the Maxwell eigensystem with sliding mesh interfaces, mortar techniques are beneficial.…”

Section: Introductionmentioning

confidence: 99%

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A high order Discontinuous Galerkin – Fourier incompressible 3D Navier–Stokes solver with rotating sliding meshes

Ferrer

Willden

2012

Journal of Computational Physics

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“…(21) and check the solver convergence properties using a NACA0015 at zero angle of attack (AOA) and two Reynolds numbers (i.e. Re = 100 and 500).…”

Section: Non-rotating Casesmentioning

confidence: 99%

Section: Non-rotating Casesmentioning

confidence: 99%

See 1 more Smart Citation

A high order Discontinuous Galerkin – Fourier incompressible 3D Navier–Stokes solver with rotating sliding meshes

Ferrer

Willden

2012

Journal of Computational Physics

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“…In general, there are two main DG methods: interior penalty (IP) and local discontinuous Galerkin (LDG), which appear in a large manifold of different flavors. For 2-D eddy current problems, an LDG approach was presented in [9],…”

Section: Introductionmentioning

confidence: 99%

Non-Conforming Nitsche Interfaces for Edge Elements in Curl–Curl-Type Problems

2020

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In this article, a methodology to incorporate non-conforming interfaces between several conforming mesh regions is presented for Maxwell's curl-curl problem. The derivation starts from a general interior penalty discontinuous Galerkin formulation of the curl-curl problem and eliminates all interior jumps in the conforming parts but retains them across non-conforming interfaces. Therefore, it is possible to think of this Nitsche approach for interfaces as a specialization of discontinuous Galerkin on meshes, which are conforming nearly everywhere. The applicability of this approach is demonstrated in two numerical examples, including parameter jumps at the interface. A convergence study is performed for h-refinement, including the investigation of the penalization-(Nitsche-) parameter.

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“…A new perspective to simulate electromechanical converters is offered by a discontinuous Galerkin (DG) approach. This approach might be beneficial compared with the classical FEM, see for example Alotto et al (2002) and Ho et al (2014).…”

Section: Introductionmentioning

confidence: 99%

Analysis of penalty parameters for interior penalty Galerkin methods

Straßer

Herzog

2019

COMPEL

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Purpose The purpose of this paper is to analyse the influence of penalty parameters for an interior penalty Galerkin method, namely, the symmetric interior penalty Galerkin method. Design/methodology/approach First of all, the solution of a simple model problem is computed and compared to the exact solution, which is a periodic function. Afterwards, a two-dimensional magnetostatic field problem described by the magnetic vector potential A is considered. In particular, penalty parameters depending on the polynomial degree, the properties of the elements and the material are considered. The analysis is performed by varying the polynomial degree and the mesh sizes on a structured and an unstructured mesh. Additionally, the penalty parameter is varied in a specific range. Findings Choosing the penalty parameter correctly plays an important role as the stability and the convergence of the numerical scheme can be affected. For a structured mesh, a limiting value for the penalty parameter can be calculated beforehand, whereas for an unstructured mesh, the choice of the penalty parameter can be cumbersome. Originality/value This paper shows that there exist different penalty parameters which can be taken into account to solve the considered problems. One can choose a global penalty parameter to obtain a stable solution, which is a sharp estimation. There has always to be the consideration to guarantee the coercivity of the bilinear form while minimising the number of iterations.

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Efficient use of the local discontinuous Galerkin method for meshes sliding on a circular boundary

Cited by 5 publications

References 14 publications

A high order Discontinuous Galerkin – Fourier incompressible 3D Navier–Stokes solver with rotating sliding meshes

A high order Discontinuous Galerkin – Fourier incompressible 3D Navier–Stokes solver with rotating sliding meshes

Non-Conforming Nitsche Interfaces for Edge Elements in Curl–Curl-Type Problems

Analysis of penalty parameters for interior penalty Galerkin methods

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