A study of convective flux schemes for aerospace flows

Bigarella, E. D. V.; Azevedo, João Luiz F.

doi:10.1590/s1678-58782012000300012

Cited by 7 publications

(7 citation statements)

References 27 publications

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“…Therefore, an extensive study on the effects of artificial dissipation had to be performed in order to be able to correctly reproduce turbulent boundary layer flows. Similar issues with the effect of artificial dissipation terms on boundary layer flows have been previously addressed in the literature (Bigarella, 2007;Bigarella and Azevedo, 2012). However, this previous work is mostly concerned with centrally-differenced schemes and explicitly added artificial dissipation, whereas the present effort focuses on the artificial dissipation terms that arise from an upwind, flux-vector splitting-type discretization.…”

Section: Introductionmentioning

confidence: 73%

A Study of Physical and Numerical Effects of Dissipation on Turbulent Flow Simulations

Junqueira-Junior

Azevedo

Scalabrin

et al. 2013

J.Aerosp. Technol. Manag.

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The present work is primarily concerned with studying the effects of artificial dissipation and of certain diffusive terms in the turbulence model formulation on the capability of representing turbulent boundary layer flows. The flows of interest in the present case are assumed to be adequately represented by the compressible Reynolds-averaged Navier-Stokes equations, and the Spalart-Allmaras eddy viscosity model is used for turbulence closure. The equations are discretized in the context of a general purpose, density-based, unstructured grid finite volume method. Spatial discretization is based on the Steger-Warming flux vector splitting scheme and temporal discretization uses a backward Euler point-implicit integration. The work discusses in detail the theoretical and numerical formulations of the selected model. The computational studies consider the turbulent flow over a flat plate at 0.3 freestream Mach number. The paper demonstrates that the excessive artificial dissipation automatically generated by the original spatial discretization scheme can deteriorate boundary layer predictions. Moreover, the results also show that the inclusion of Spalart-Allmaras model cross-diffusion terms is primarily important in the viscous sublayer region of the boundary layer. Finally, the paper also demonstrates how the spatial discretization scheme can be selectively modified to correctly control the artificial dissipation such that the flow simulation tool remains robust for high-speed applications at the same time that it can accurately compute turbulent boundary layers.

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Section: Introductionmentioning

confidence: 73%

A Study of Physical and Numerical Effects of Dissipation on Turbulent Flow Simulations

Junqueira-Junior

Azevedo

Scalabrin

et al. 2013

J.Aerosp. Technol. Manag.

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“…Consequently, only two procedures are yet to be established: the reconstruction scheme used for the evaluation of the face flux vectors, F k , as well as a procedure for integrating ∂ Q i ∂t over time. Here, Roe's second-order TVD scheme, coupled with Venkatakrishnan's limiter [8], is employed in the discretization of all inviscid fluxes [5,6], including the ones related to the turbulence model. The integration of the temporal derivatives is performed by using an implicit time-march scheme, as described in Refs.…”

Section: Numerical Formulation 21 General Formulation Of the Methodsmentioning

confidence: 99%

“…In the current work, the three-dimensional flow dynamics are modeled using the compressible Reynolds-averaged Navier-Stokes (RANS) equations [2]. These equations are discretized in a cellcentered FV framework by using Roe's flux-difference splitting scheme for the reconstruction of the convective fluxes [4,5,6]. A second-order, total-variation diminishing (TVD), version of the scheme is implemented by using a piece-wise linear reconstruction of the solution [7], coupled with Venkatakrishnan's limiter [8].…”

Section: Introductionmentioning

confidence: 99%

“…Simulations are performed using an in-house code, BRU3D [5,6], for three different cases. The first one is a two-dimensional turbulent flat plate [11], which is mainly used as a sanity test case.…”

Section: Introductionmentioning

confidence: 99%

“…Its main purpose is to observe the influence that the different procedures have over the value of the aerodynamic coefficients when a separation bubble is present in the solution. The final case is the transonic OAT15A airfoil [12,5,6]. It illustrates the performance of each scheme when a shock wave is present in the domain.…”

Section: Introductionmentioning

confidence: 99%

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On the Influence of Gradient Reconstruction Procedures Over the Accuracy of Finite Volume Based Schemes

Oliveira¹,

Azevedo²

2023

Preprint

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In the context of the cell centered finite volume approach, care must be taken when performing the reconstruction of property gradients at cell interfaces. The present work analyzes three different gradient reconstruction procedures, using three different turbulent simulation test cases, namely the zero-gradient flat plate, the subsonic NACA 0012 airfoil and the transonic OAT15A airfoil. The analysis is concerned mainly with the usage of quadrilateral meshes. The gas dynamics equations are solved using an implicit implementation of Roe's second-order upwind scheme. The RANS closure problem is solved by using the negative Spalart-Allmaras turbulence model. The solution quality of each gradient discretization procedure is analyzed and compared to experimental data and other numerical solutions available in the literature. For the cases considered here, excellent agreement is obtained between the computed solutions and the expected results, regardless of which gradient reconstruction scheme is used.

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Implementation of Matrix Dissipation Scheme for Numerical Simulations of Two Dimensional Navier-Stokes Equations

Jaiswal¹,

Mathur²

2016

Fluid Mechanics and Fluid Power – Contemporary Research

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A study of convective flux schemes for aerospace flows

Cited by 7 publications

References 27 publications

A Study of Physical and Numerical Effects of Dissipation on Turbulent Flow Simulations

A Study of Physical and Numerical Effects of Dissipation on Turbulent Flow Simulations

On the Influence of Gradient Reconstruction Procedures Over the Accuracy of Finite Volume Based Schemes

Implementation of Matrix Dissipation Scheme for Numerical Simulations of Two Dimensional Navier-Stokes Equations

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