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
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
On the use of higher-order finite-difference schemes on curvilinear and deforming meshes
Journal of Computational Physics
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
Journal of Computational Physics
Journal of Computational Physics
Large eddy simulation using a new set of sixth order schemes for compressible viscous terms
Journal of Computational Physics
Generalized finite compact difference scheme for shock/complex flowfield interaction
Journal of Computational Physics
Hi-index | 31.46 |
A new set of conservative 4th-order central finite differencing schemes for all the viscous terms of compressible Navier-Stokes equations are proposed and proved in this paper. These schemes are used with a 5th-order WENO scheme for inviscid flux and the stencil width of the central differencing scheme is designed to be within that of the WENO scheme. The central differencing schemes achieve the maximum order of accuracy in the stencil. This feature is important to keep the compactness of the overall discretization schemes and facilitate the boundary condition treatment. The algorithm is used to simulate the vortex-induced oscillations of an elastically mounted circular cylinder. The numerical results agree favorably with the experiment.