supported by the NSFC Grant No.11872210 and Grant No.MCMS-I-0120G01;Chi-Wang Shu:Research is supported by the AFOSR Grant FA9550-20-1-0055 and the NSF Grant DMS-2010107;Jianxian Qiu:Research is supported by the NSFC Grant No.12071392.
In this paper, we design high-order Runge-Kutta discontinuous Galerkin (RKDG) methods with multi-resolution weighted essentially non-oscillatory (multi-resolution WENO) limiters to compute compressible steady-state pr...
Research was supported in part by the ONR Grant N00014-2112773.
Slope limiters play an essential role in maintaining the non-oscillatory behavior of high-resolution methods for nonlinear conservation laws.The family of minmod limiters serves as the prototype example.Here,we revisi...
supported by the National Natural Science Foundation of China(51772082 and 51804106);the Natural Science Foundation of Hunan Province(2023JJ10005);the Science and Technology Projects of the State Grid Corporation of China(5500-202323102A-11-ZN)。
Aqueous Zn-iodine(Zn-I_(2))batteries have attracted extensive research interest as an emerging redox conversion energy storage system due to the low cost and high safety.However,the shuttling effects of polyiodides ar...
supported by National Natural Science Foundation of China under Grant 51977066。
Since the fault dynamic of droop-controlled inverter is different from synchronous generators (SGs), protection devices may become invalid, and the fault overcurrent may damage power electronic devices and threaten th...
For solving two-dimensional incompressible flow in the vorticity form by the fourth-order compact finite difference scheme and explicit strong stability preserving temporal discretizations,we show that the simple boun...
the National Natural Science Found Project of China through project number 11971075.
This paper proposes a new version of the high-resolution entropy-consistent(EC-Limited)flux for hyperbolic conservation laws based on a new minmod-type slope limiter.Firstly,we identify the numerical entropy productio...
supported in part by NSFC grant 12031001;National Key R&D Program of China No.2023YFA1009003;supported in part by NSF grant DMS-2010107.
The arbitrary Lagrangian-Eulerian(ALE)method is widely used in the field of compressible multi-material and multi-phase flow problems.In order to implement the indirect ALE approach for the simulation of compressible ...
supported in part by the National Natural Science Foundation of China(U2166601,U2066602);the Science and Technology Department of Xinjiang under Grant No.2021D01C086;funded by Sustainable Energy Authority of Ireland(SEAI)by under project FRESLIPS,Grant No.RDD/00681.
Loss of synchronization is one of the main issues for a grid-feeding converter in a weak grid after being subjected to a large disturbance.The synchronous transient is highly nonlinear due to phase movement and freque...
In this paper,a new multi-resolution weighted essentially non-oscillatory(MR-WENO)limiter for high-order local discontinuous Galerkin(LDG)method is designed for solving Navier-Stokes equations on triangular meshes.Thi...
Recent works have shown that neural networks are promising parameter-free limiters for a variety of numerical schemes(Morgan et al.in A machine learning approach for detect-ing shocks with high-order hydrodynamic meth...