Large eddy simulation using a new set of sixth order schemes for compressible viscous terms

Authors:
Yiqing Shen;Gecheng Zha
Affiliations:
Department of Mechanical and Aerospace Engineering, Miami WindTM, University of Miami, Coral Gables, Florida 33124, USA;Department of Mechanical and Aerospace Engineering, Miami WindTM, University of Miami, Coral Gables, Florida 33124, USA
Venue:
Journal of Computational Physics
Year:
2010

Citing 9
Cited 0

Uniformly high order accurate essentially non-oscillatory schemes, 111

Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes

Journal of Computational Physics
Efficient implementation of weighted ENO schemes

Journal of Computational Physics
Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy

Journal of Computational Physics
Comparison of several spatial discretizations for the Navier-Stokes equations

Journal of Computational Physics
Numerical Comparison of WENO Finite Volume and Runge–Kutta Discontinuous Galerkin Methods

Journal of Scientific Computing
Essentially Non-Oscillatory and Weighted Essentially Non-Oscillatory Schemes for Hyperbolic Conservation Laws

Essentially Non-Oscillatory and Weighted Essentially Non-Oscillatory Schemes for Hyperbolic Conservation Laws
Finite-volume WENO schemes for three-dimensional conservation laws

Journal of Computational Physics
High order conservative differencing for viscous terms and the application to vortex-induced vibration flows

Journal of Computational Physics

Quantified Score

Hi-index	31.45

Visualization

Abstract

A set of conservative sixth order central differencing schemes is suggested for compressible flows with variable viscosity coefficient. This new set of central differencing schemes has the stencil width matching that of the seventh order weighted essentially non-oscillatory scheme (WENO). This feature is important to maintain the compactness of the seventh order WENO scheme and facilitate boundary condition treatment. As an application example, a large eddy simulation (LES) is conducted for a cylinder flow using the seventh order WENO scheme for the convective terms and the new set of sixth order central differencing scheme for the viscous terms. The results are compared with those from other research groups and those obtained using the fifth order WENO scheme and fourth order central differencing.