A third‐order compact nonlinear scheme for compressible flow simulations

Summary Reynolds‐averaged Navier‐Stokes simulations based on second‐order numerical methods are widely used by commercial codes and work as dominating tools for most industrial applications. They, however, suffer from limitations in accurate and reliable predictions of skin‐friction drag and aerodyn...

Full description

Saved in:
Bibliographic Details
Published in:International journal for numerical methods in fluids 2020-10, Vol.92 (10), p.1352-1367
Main Authors: Tian, Zhuangzhuang, Wang, Guangxue, Zhang, Fan, Zhang, Huaibao
Format: Article
Language:English
Subjects:
Aerodynamic heating
compact nonlinear scheme
Compressible flow
compressible flows
Computational fluid dynamics
Computer simulation
Discontinuity
Dispersion
ENO
Errors
Flow simulation
Friction drag
Industrial applications
Mach reflection
Mathematical models
nonlinear interpolation
Numerical methods
Simulation
Skin
Skin friction
Taylor instability
third order
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Summary Reynolds‐averaged Navier‐Stokes simulations based on second‐order numerical methods are widely used by commercial codes and work as dominating tools for most industrial applications. They, however, suffer from limitations in accurate and reliable predictions of skin‐friction drag and aerodynamic heating, as well as in simulations of complex flows such as large‐scale separation and transition. A remedy for this is the development of high‐order schemes, by which numerically induced dissipation and dispersion errors of low‐order schemes can be effectively reduced. Weighted compact nonlinear schemes (WCNSs) are a family of high‐resolution nonlinear shock‐capturing methods. A stencil‐selection procedure is introduced in the proposed work with an aim to improve the nonlinear weight of the third‐order WCNS. By using the approximate dispersion relation analysis, it is demonstrated that the new scheme has reduced dissipation and dispersion errors, compared with WCNSs using two typical nonlinear weights. Improvements are also achieved by the new scheme in numerical tests such as the double Mach reflection problem and the Rayleigh‐Taylor instability simulation, which are characterized by strong shock discontinuities and rich small scales, respectively. The new scheme is therefore highly favored in the simulation of flow problems involving strong discontinuities and multiscales phenomena. Simulation of Rayleigh‐Taylor instability problem: The proposed scheme, TCNS, together with an accurate/less dissipative Riemann solver, HLLC, obtains significantly high resolutions for small scales
ISSN:0271-2091
1097-0363
DOI:10.1002/fld.4831