On the role of spectral properties of viscous flux discretization for flow simulations on marginally resolved grids

Amareshwara Sainadh Chamarthi; Hemanth Chandravamsi K.; Natan Hoffmann; Sean Bokor; Steven H. Frankel

doi:10.1016/j.compfluid.2022.105742

On the role of spectral properties of viscous flux discretization for flow simulations on marginally resolved grids

Amareshwara Sainadh Chamarthi, Hemanth Chandravamsi K., Natan Hoffmann, Sean Bokor, Steven H. Frankel

Research output: Contribution to journal › Article › peer-review

Abstract

In this note, the importance of spectral properties of viscous flux discretization in solving compressible Navier–Stokes equations for turbulent flow simulations is discussed. We studied six different methods, divided into two different classes, with poor and better representation of spectral properties at high wavenumbers. Both theoretical and numerical results have revealed that the method with better properties at high wavenumbers, denoted as α-damping type discretization, produced superior solutions compared to the other class of methods. The proposed compact α-damping method converged towards the direct numerical simulation (DNS) solution at lower grid resolution compared with the other class of methods and is, therefore, a better candidate for high fidelity large-eddy simulations (LES) and DNS studies.

Original language	English
Article number	105742
Journal	Computers and Fluids
Volume	251
DOIs	https://doi.org/10.1016/j.compfluid.2022.105742
State	Published - 30 Jan 2023

Keywords

Diffusion
Finite-difference
High-frequency damping
Turbulence
Viscous

ASJC Scopus subject areas

General Computer Science
General Engineering

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10.1016/j.compfluid.2022.105742

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abstract = "In this note, the importance of spectral properties of viscous flux discretization in solving compressible Navier–Stokes equations for turbulent flow simulations is discussed. We studied six different methods, divided into two different classes, with poor and better representation of spectral properties at high wavenumbers. Both theoretical and numerical results have revealed that the method with better properties at high wavenumbers, denoted as α-damping type discretization, produced superior solutions compared to the other class of methods. The proposed compact α-damping method converged towards the direct numerical simulation (DNS) solution at lower grid resolution compared with the other class of methods and is, therefore, a better candidate for high fidelity large-eddy simulations (LES) and DNS studies.",

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AU - Chamarthi, Amareshwara Sainadh

AU - K., Hemanth Chandravamsi

AU - Hoffmann, Natan

AU - Bokor, Sean

AU - Frankel, Steven H.

PY - 2023/1/30

Y1 - 2023/1/30

N2 - In this note, the importance of spectral properties of viscous flux discretization in solving compressible Navier–Stokes equations for turbulent flow simulations is discussed. We studied six different methods, divided into two different classes, with poor and better representation of spectral properties at high wavenumbers. Both theoretical and numerical results have revealed that the method with better properties at high wavenumbers, denoted as α-damping type discretization, produced superior solutions compared to the other class of methods. The proposed compact α-damping method converged towards the direct numerical simulation (DNS) solution at lower grid resolution compared with the other class of methods and is, therefore, a better candidate for high fidelity large-eddy simulations (LES) and DNS studies.

AB - In this note, the importance of spectral properties of viscous flux discretization in solving compressible Navier–Stokes equations for turbulent flow simulations is discussed. We studied six different methods, divided into two different classes, with poor and better representation of spectral properties at high wavenumbers. Both theoretical and numerical results have revealed that the method with better properties at high wavenumbers, denoted as α-damping type discretization, produced superior solutions compared to the other class of methods. The proposed compact α-damping method converged towards the direct numerical simulation (DNS) solution at lower grid resolution compared with the other class of methods and is, therefore, a better candidate for high fidelity large-eddy simulations (LES) and DNS studies.

KW - Diffusion

KW - Finite-difference

KW - High-frequency damping

KW - Turbulence

KW - Viscous

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On the role of spectral properties of viscous flux discretization for flow simulations on marginally resolved grids

Abstract

Keywords

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