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 essentially non-oscillatory shock-capturing schemes,II
Journal of Computational Physics
Numerical experiments on the accuracy of ENO and modified ENO schemes
Journal of Scientific Computing
A numerical study of the convergence properties of ENO schemes
Journal of Scientific Computing
Direct simulations of turbulent flow using finite-difference schemes
Journal of Computational Physics
Nonlinearly stable compact schemes for shock calculations
SIAM Journal on Numerical Analysis
Weighted essentially non-oscillatory schemes
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems
Journal of Computational Physics
Compact high-order accurate nonlinear schemes
Journal of Computational Physics
Explicit and implicit multidimensional compact high-resolution shock-capturing methods: formulation
Journal of Computational Physics
A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws
Journal of Computational Physics
Journal of Computational Physics
A characteristic-based shock-capturing scheme for hyperbolic problems
Journal of Computational Physics
Hi-index | 31.46 |
A new, essentially nonoscillatory high-order Padé-type (ENO-Padé) scheme has been developed by incorporating the ENO interpolation algorithm into the cell-centered Padé scheme. The scheme is designed to eliminate the nonphysical oscillatory behavior of the Padé scheme across discontinuities and to improve the performance of the ENO scheme in smooth regions. The main features of the ENO-Padé scheme are illustrated by the solution of the scalar transport equation, while the extension of the method to the solution of compressible flow equations is also demonstrated. A number of numerical test cases, including two scalar-transport problems and three compressible flows, are used to compare the performances of the ENO-Padé scheme against other available schemes, such as upwind-biased, Padé, and ENO schemes. The numerical results show that the ENO-Padé scheme is an excellent compromise of the available schemes for resolving profiles over flow discontinuities while maintaining accurate flow structures in smooth regions.