20 Papers
30 Citations
Peng Li is an academic researcher from Beijing Institute of Technology. The author has contributed to research in topics: Euler equations & Finite difference. The author has an hindex of 6, co-authored 14 publications. Previous affiliations of Peng Li include Ocean University of China.
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Papers
An improved fifth order alternative WENO-Z finite difference scheme for hyperbolic conservation laws
TL;DR: It is demonstrated that the WENO-Z weights should be employed to recover the optimal order of accuracy at the critical points of a smooth function.
81
High Order Positivity- and Bound-Preserving Hybrid Compact-WENO Finite Difference Scheme for the Compressible Euler Equations
TL;DR: An improved hybrid scheme employing the nonlinear 5th-order characteristic-wise WENO-Z5 finite difference scheme for capturing high gradients and discontinuities in an essentially non-oscillatory manner and the linear 5 fourth-order conservative compact upwind (CUW5) scheme for resolving the fine scale structures in the smooth regions of the solution in an efficient and accurate manner is developed.
19
Simple high order well-balanced finite difference WENO schemes for the Euler equations under gravitational fields
TL;DR: The proposed well-balanced schemes can be proved mathematically to preserve the hydrostatic isothermal and polytropic equilibria states exactly and at the same time maintain genuine high order accuracy.
12
Three-dimensional detonation simulations with the mapped WENO-Z finite difference scheme
TL;DR: Gao et al. as mentioned in this paper performed a very long time numerical simulation to capture the three-dimensional detonation structures in a rectangular duct by solving the reactive Euler equations using the high order/resolution WENO-Z conservative finite difference scheme.
12
A Robust High Order Alternative WENO Scheme for the Five-Equation Model
TL;DR: In this paper, the authors proposed bound-and positivity-preserving limiters for high order finite difference schemes, based on which the equilibriums of the velocity and pressure are preserved throughout the whole computation of contact moving interface problems with the ideal and stiffened equations of state.
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