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
Nonlinearly stable compact schemes for shock calculations
SIAM Journal on Numerical Analysis
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
Higher order KFVS algorithms using compact upwind difference operators
Journal of Computational Physics
Optimized compact-difference-based finite-volume schemes for linear wave phenomena
Journal of Computational Physics
On performance of methods with third- and fifth-order compact upwind differencing
Journal of Computational Physics
A family of high order finite difference schemes with good spectral resolution
Journal of Computational Physics
On a class of Padé finite volume methods
Journal of Computational Physics
Developing high-order weighted compact nonlinear schemes
Journal of Computational Physics
A wave propagation method for three-dimensional hyperbolic conservation laws
Journal of Computational Physics
A residual-based compact scheme for the compressible Navier-Stokes equations
Journal of Computational Physics
An essentially nonoscillatory high-order padé-type (ENO-padé) scheme
Journal of Computational Physics
Conservative hybrid compact-WENO schemes for shock-turbulence interaction
Journal of Computational Physics
A Fourth-Order Central WENO Scheme for Multidimensional Hyperbolic Systems of Conservation Laws
SIAM Journal on Scientific Computing
ADER: Arbitrary High Order Godunov Approach
Journal of Scientific Computing
A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws
Journal of Computational Physics
High order one-step monotonicity-preserving schemes for unsteady compressible flow calculations
Journal of Computational Physics
Journal of Computational Physics
Generalized finite compact difference scheme for shock/complex flowfield interaction
Journal of Computational Physics
Journal of Scientific Computing
Hi-index | 31.45 |
In order to suppress numerical oscillations of linear compact schemes around discontinuities, a characteristic-based flux splitting limited method is introduced instead of ENO/WENO or other shock-capturing algorithms. This method begins with upwind schemes and flux vector splittings. The upwind schemes are projected along characteristic directions in a different way, and their amplitudes are carefully controlled by a special limiter in order to meet entropy condition and to prevent non-physical oscillations. A fifth-order linear compact upwind scheme is modified by this method for solving problems involving discontinuities. The properties of the numerical algorithm are checked on some benchmark problems in one, two and three space dimensions. Numerical results show that it is high-order accurate with high resolution and oscillation-free.