相关期刊:《Applied Mathematics and Mechanics(English Edition)》《Journal of Hydrodynamics》《Communications in Computational Physics》《Chinese Optics Letters》更多>>
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...
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...
supported by the National Natural Science Foundation of China(Grant Nos.11702015 and 11721202);support by the high performance computing(HPC)resources at Beihang University;The first author also acknowledges the support by the Fundamental Research Funds for the Central Universities.
supported by the National Natural Science Foundation of China(Grants No.51679170,51379157,and 51439007)
A two-dimensional (2D) dam-break flow numerical model was developed based on the finite-volume total variation diminishing (TVD) and monotone upstream-centered scheme for conservation laws (MUSCL)-Hancock scheme...
funded by the Fond de la Recherche Scientifique de Belgique (FRSFNRS)
Groundwater flows play a key role in the recharge of aquifers, the transport of solutes through subsurface systems or the control of surface runoff. Predicting these processes requires the use of groundwater models wi...
supported by the Fundamental Research Funds of Central University(B103093);Key Laboratory Foundation of Coastal Disasters.
In this paper,we study a class of contact smoothed particle hydrodynamics(SPH)by introducing Riemann solvers and using high-order limiters.In particular,a promising concept ofWENO interpolation as limiter is presented...
supported by the National Basic Research Program of China(2009CB724104)
Two types of implicit algorithms have been im- proved for high order discontinuous Galerkin (DG) method to solve compressible Navier-Stokes (NS) equations on tri- angular grids. A block lower-upper symmetric Gauss...
The research was partially supported by NSFC grant 10931004,11126287,11201242,NJUPT grant NY211029 and ISTCP of China grant No.2010DFR00700.The authors would like to thank the referees for the helpful suggestions.
Discontinuities usually appear in solutions of nonlinear conservation laws even though the initial condition is smooth,which leads to great difficulty in computing these solutions numerically.The Runge-Kutta discontin...