High-Order Finite-Difference Schemes for (Hyper-) Viscous Filtering on Non-Uniform Meshes
In this study, the viscous filtering technique is extended to one-sided and biased finite-difference schemes for non-uniform meshes. The most attractive feature of this technique lies in its numerical stability despite the use of a purely explicit time advancement. This feature is well recovered for...
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| Veröffentlicht in: | Flow, turbulence and combustion turbulence and combustion, 2024-01, Vol.112 (1), p.243-272 |
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| creator | Perrin, Rodolphe Lamballais, Eric |
| description | In this study, the viscous filtering technique is extended to one-sided and biased finite-difference schemes for non-uniform meshes. The most attractive feature of this technique lies in its numerical stability despite the use of a purely explicit time advancement. This feature is well recovered for non-uniform meshes, making the approach as a simple and efficient alternative to the implicit time integration of the viscous term in the context of direct and large-eddy simulation. The rationale to develop generalized filter schemes is presented. After a validation based on the Burgers solution while using a refined mesh in the shock region, it is shown that a high-order formulation can be used to ensure both molecular and artificial dissipation for performing implicit LES of transitional boundary layer while relaxing drastically the time step constraint. |
| doi_str_mv | 10.1007/s10494-023-00503-5 |
| format | Article |
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| ispartof | Flow, turbulence and combustion, 2024-01, Vol.112 (1), p.243-272 |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | Automotive Engineering Boundary layer transition Engineering Engineering Fluid Dynamics Engineering Sciences Engineering Thermodynamics Filtration Finite difference method Finite element method Fluid- and Aerodynamics Fluids mechanics Heat and Mass Transfer Large eddy simulation Mathematical analysis Mechanics Numerical stability Time integration |
| title | High-Order Finite-Difference Schemes for (Hyper-) Viscous Filtering on Non-Uniform Meshes |
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