Nonreflecting boundary conditions for the Euler equations in a discontinuous Galerkin discretization

Wukie, Nathan A.; Orkwis, Paul D.; Lindblad, Daniel; Andersson, Niklas

doi:10.2514/6.2019-2172

Cited by 1 publication

(1 citation statement)

References 33 publications

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“…If acceleration techniques, such as multigrid or implicit residual smoothing were to be applied, it is however believed that M could be greatly reduced, since the interior solution would adapt faster to q bc . An extensive discussion on the stability and accuracy aspects of the nonreflecting formulation presented in this work can be found in [19].…”

Section: Stabilization Strategymentioning

confidence: 99%

A Nonreflecting Formulation for Turbomachinery Boundaries and Blade Row Interfaces

Lindblad

Wukie

Villar

et al. 2019

AIAA Scitech 2019 Forum

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Applying a nonreflecting formulation of a boundary condition or blade row interface is sometimes of paramount importance for obtaining an accurate prediction of turbomachinery blade flutter or tonal noise, just to name a few examples. Although the theoretical foundations for these type of boundary conditions have existed for several decades, nonreflecting boundary conditions still remain an area of active research. Today, much focus appears to be put towards obtaining more generic, higher-order and numerically stable formulations. In this work, a quasi-three-dimensional nonreflecting formulation based on the exact, nonreflecting boundary condition for a single frequency and azimuthal wave number developed by Giles is presented. The proposed formulation is applicable without modifications to both steady and unsteady simulations. An implementation strategy which is consistent for both a boundary condition and blade row interface is also presented. This implementation strategy does also partly address the stability problems often encountered when the type of formulation considered in the presented work is used together with a pseudo-time integration approach for converging the flow residual. Results from a set of two-dimensional validation cases are also presented to verify the formulation.

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Section: Stabilization Strategymentioning

confidence: 99%