supported by the National Natural Science Foundation of China(Grant No.11801277).
In this paper,a meshless energy-preserving algorithm which can be arbitrarily high-order in temporal direction for the beam equation has been proposed.Based on the method of lines,we first use the radial basis func-ti...
Project supported by the National Natural Science Foundation of China(Nos.12072246,11972272,11872286);the National Numerical Wind Tunnel Project of China(No.NNW2020ZT3-A23)。
The weakly ionized plasma flows in aerospace are commonly simulated by the single-fluid model,which cannot describe certain nonequilibrium phenomena by finite collisions of particles,decreasing the fidelity of the sol...
supported by the National High Technology and Development Program of China (No.61971079);the Postgraduate Science Research Innovation project of Chongqing Municipal Education Commission (No.CYS20266)。
In order to improve the spectrum efficiency of the high-order polar coded modulation systems, the polar code is used as the component code of the bit-interleave coded modulation(BICM) system, a novel bit mapping schem...
supported by the National Natural Science Foundation of China(No.11601517);the Basic Research Foundation of National University of Defense Technology(No.ZDYYJ-CYJ20140101)
To ensure time stability of a seventh-order dissipative compact finite difference scheme, fourth-order boundary closures are used near domain boundaries previously. However, this would reduce the global convergence ra...
supported by the National Natural Sciences Foundation of China(Grant Nos.41375112 and 41530426);the Chinese Academy of Sciences Key Technology Talent Program
Based on the Taylor series method and Li’s spatial differential method, a high-order hybrid Taylor–Li scheme is proposed.The results of a linear advection equation indicate that, using the initial values of the squa...
This work is supported by the National Natural Science Foundation of China(Grant No.11172143);Research Innovation Program for College Graduates of Jiangsu Province(CXZZ130518).
A high-order numerical method for three-dimensional hydrodynamics is p-resented.The present method applies high-order compact schemes in space and a Runge-Kutta scheme in time to solve the Reynolds-averaged Navier-Sto...
supported by the National Natural Science Foundation of China(No.51174236);the National Basic Research Program of China(973 Program)(No.2011CB606306);the Opening Project of State Key Laboratory of Porous Metal Materials(No.PMM-SKL-4-2012)
An efficient high-order immersed interface method (IIM) is proposed to solve two-dimensional (2D) heat problems with fixed interfaces on Cartesian grids, which has the fourth-order accuracy in the maximum norm in ...
This work is supported by the U.S.Air Force Office of Scientific Research(AFOSR)Computational Mathematics Programunder the Award No.FA9550-08-1-0122 and the Award No.FA9550-10-1-0045.The authors are also grateful to the School of Engineering and the Department of Computer Engineering at Jackson State University for their support.
In this paper,the high-order space-time discontinuous Galerkin cell vertex scheme(DG-CVS)developed by the authors for hyperbolic conservation laws is extended for time dependent diffusion equations.In the extension,th...
supported by the National Natural Science Foundation of China(Grant Nos.60931002 and 61101064);the Universities Natural Science Foundation of Anhui Province,China(Grant Nos.KJ2011A002 and 1108085J01)
The method of splitting a plane-wave finite-difference time-domain (SP-FDTD) algorithm is presented for the initiation of plane-wave source in the total-field / scattered-field (TF/SF) formulation of high-order sy...
An efficient implicit lower-upper symmetric Gauss-Seidel(LU-SGS)solution approach has been applied to a high order spectral volume(SV)method for unstructured tetrahedral grids.The LU-SGS solver is preconditioned by th...