Implementation of High-Order Discontinuous Galerkin Method for Solution of Practical Tasks in External Aerodynamics and Aeroacoustics

Bosnyakov, I. S.; Mikhaylov, Sergey; Morozov, Alexander; Podaruev, Vladimir; Troshin, Alexey; Власенко, В. В.; Wolkov, A. V.; Garcia-Uceda, A.; Hirsch, Charles

doi:10.1007/978-3-319-12886-3_16

Cited by 7 publications

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“…For time and pseudo-time integration, explicit Runge-Kutta method is employed. In the last years, the method has gained some popularity in the academia, but industrial applications are also starting to appear [11]. Within a given finite element, all flow variables are expressed with modal expansions of the same order (including velocity and pressure).…”

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confidence: 99%

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Large eddy simulation of incompressible free round jet with discontinuous Galerkin method

Marek

Tyliszczak

Bogusławski

2015

Numerical Methods in Fluids

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Summary In the paper, discontinuous Galerkin method is applied to simulation of incompressible free round turbulent jet using large eddy simulation with eddy viscosity approach. The solution algorithm is based on the classical projection method, but instead of the solution of the Poisson equation, a parabolic equation is advanced in pseudo‐time, which provides the pressure field ensuring the proper pressure–velocity coupling. For time and pseudo‐time integration, explicit Runge–Kutta method is employed. The computational meshes consist of hexahedral elements with flat faces. Within a given finite element, all flow variables are expressed with modal expansions of the same order (including velocity and pressure). Discretisation of the viscous terms in the Navier–Stokes equations and Laplacian in the Poisson equation is stabilised with mixed finite element approach. The correctness of the solution algorithm is verified in a commonly used test case of laminar flow in 3D lid‐driven cavity. The results of computations of the free jet are compared with experimental and numerical reference data, the latter obtained from the high‐order pseudospectral code. The statistics of centerline flow velocity – mean velocity and its fluctuations – show satisfactory agreement with the reference data. Copyright © 2015 John Wiley & Sons, Ltd.

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confidence: 99%

“…In the last years, the method has gained some popularity in the academia, but industrial applications are also starting to appear [11]. numerical flux).…”

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confidence: 99%