Weighted essentially non-oscillatory schemes
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
On the use of shock-capturing schemes for large-eddy simulation
Journal of Computational Physics
Optimized weighted essentially nonoscillatory schemes for linear waves with discontinuity: 381
Journal of Computational Physics
Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Shock Capturing Artificial Dissipation for High-Order Finite Difference Schemes
Journal of Scientific Computing
Journal of Computational Physics
A hybrid numerical simulation of isotropic compressible turbulence
Journal of Computational Physics
Hybrid weighted essentially non-oscillatory schemes with different indicators
Journal of Computational Physics
An adaptive central-upwind weighted essentially non-oscillatory scheme
Journal of Computational Physics
Numerical Study of Compressible Mixing Layers Using High-Order WENO Schemes
Journal of Scientific Computing
Journal of Computational Physics
Scale separation for implicit large eddy simulation
Journal of Computational Physics
Journal of Computational Physics
WENO-enhanced gas-kinetic scheme for direct simulations of compressible transition and turbulence
Journal of Computational Physics
A ghost fluid method for compressible reacting flows with phase change
Journal of Computational Physics
Journal of Computational Physics
Journal of Scientific Computing
Hi-index | 31.50 |
Weighted essentially non-oscillatory (WENO) methods have been developed to simultaneously provide robust shock-capturing in compressible fluid flow and avoid excessive damping of fine-scale flow features such as turbulence. Under certain conditions in compressible turbulence, however, numerical dissipation remains unacceptably high even after optimization of the linear component that dominates in smooth regions. We therefore construct and evaluate WENO schemes that also reduce dissipation due to one source of nonlinear error: the smoothness measurement that governs the application of stencil adaptation away from the linear optimal stencil. Direct numerical simulations (DNS) include a one-dimensional Euler solution and three-dimensional compressible isotropic turbulence. We find that the smoothness measurement modifications that we call the ''relative smoothness limiter'' and the ''relative total variation limiter'' each significantly enhance thez grid-convergence properties of WENO schemes while generating, respectively, small and moderate additional computational expense. Moreover, we observe these techniques to be broadly effective regardless of flow configuration.