Investigation of low-dissipation low-dispersion schemes for incompressible and compressible flows in scale-resolving simulations
Journal article, 2023

A comprehensive study is conducted on a second-order low-dissipation low-dispersion (LD2) scheme in scale-resolving simulations of both incompressible and compressible flows, using a node-based unstructured CFD solver. The scheme deploys a higher order central reconstruction of the face values (up to fourth-order on structured meshes) and a matrix dissipation formulation to reduce the dispersive and dissipative numerical errors. The LD2 scheme is examined for compressible flow cases involving shock discontinuities, LD2-Compressible (LD2C), and is verified in a classical shock-tube problem. The scheme is then further verified in Large-Eddy Simulations (LES) of decaying isotropic turbulence (DIT) in comparison with available experimental data. It is shown that in scale-resolving simulations, the LD2C scheme is able to significantly improve the prediction as compared to a conventional second-order central scheme. The scheme is then further assessed and verified in hybrid Reynolds-Averaged Navier–Stokes (RANS)-LES computations for the subsonic and supersonic turbulent channel flow, where excellent agreement with reference DNS and correlations are observed. Moreover, a supersonic base flow is simulated using hybrid RANS-LES, where improved predictions are observed. The LD2C scheme exploits a shock sensor incorporating vorticity and is shown to improve the prediction of the resolved shear stress in the shear layer of compression.

Compressible flows

Low-dissipation low-dispersion scheme

Turbulent flows

Scale-resolving simulations


Magnus Carlsson

Chalmers, Mechanics and Maritime Sciences (M2), Fluid Dynamics

Lars Davidson

Chalmers, Mechanics and Maritime Sciences (M2), Fluid Dynamics

Peng Shia-Hui

Chalmers, Mechanics and Maritime Sciences (M2), Fluid Dynamics

Swedish Defence Research Agency (FOI)

Sebastian Arvidson

Chalmers, Mechanics and Maritime Sciences (M2), Fluid Dynamics


Computers and Fluids

00457930 (ISSN)

Vol. 251 105741

Subject Categories

Geophysical Engineering

Applied Mechanics

Fluid Mechanics and Acoustics



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