UPWIND

作品数：98被引量：135H指数：7
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A MIXED FINITE ELEMENT AND UPWIND MIXED FINITE ELEMENT MULTI-STEP METHOD FOR THE THREE-DIMENSIONAL POSITIVE SEMI-DEFINITE DARCY-FORCHHEIMER MISCIBLE DISPLACEMENT PROBLEM
《Acta Mathematica Scientia》2025年第2期715-736,共22页Yirang YUAN Changfeng LI Huailing SONG Tongjun SUN 
supported by the Natural Science Foundation of Shandong Province(ZR2021MA019);the National Natural Science Foundation of China(11871312)。
In this paper,a composite numerical scheme is proposed to solve the threedimensional Darcy-Forchheimer miscible displacement problem with positive semi-definite assumptions.A mixed finite element is used for the fow e...
关键词：Darcy-Forchheimer fow three-dimensional positive semi-definite problem upwind mixed finite element multi-step method conservation of mass convergence analysis 
Mathematical Model,Numerical Simulation and Convergence Analysis of a Semiconductor Device Problem with Heat and Magnetic Influences
《Acta Mathematicae Applicatae Sinica》2024年第2期302-319,共18页Chang-feng LI Yi-rang YUAN Huai-ling SONG 
supported by the National Natural Science Foundation of China(Grant No.11871312);Natural Science Foundation of Shandong Province(Grant No.ZR2021MA019).
In this paper,the authors discuss a three-dimensional problem of the semiconductor device type involved its mathematical description,numerical simulation and theoretical analysis.Two important factors,heat and magneti...
关键词：three-dimensional conductor device problem with heat and magnetic influences upwind blockcentered differences elemental conservation of mass numerical analysis 
An Upwind Mixed Finite Volume Element-fractional Step Method and Convergence Analysis for Three-dimensional Compressible Contamination Treatment from Nuclear Waste
《Acta Mathematicae Applicatae Sinica》2023年第4期808-829,共22页Chang-feng LI Yi-rang YUAN Huai-ling SONG 
supported by the Natural Science Foundation of Shangdong Province (Grant No.ZR2021MA019);Natural Science Foundation of Hunan Province (Grant No.2018JJ2028)。
In this paper the authors discuss a numerical simulation problem of three-dimensional compressible contamination treatment from nuclear waste. The mathematical model, a nonlinear convection-diffusion system of four PD...
关键词：compressible nuclear waste contamination in porous media upwind mixed finite volume elementfractional step conservation of mass and energy convergence analysis numerical example 
A multithreaded parallel upwind sweep algorithm for the S_(N) transport equations discretized with discontinuous finite elements
《Nuclear Science and Techniques》2023年第12期229-241,共13页Zhi‑Wei Zong Mao‑Song Cheng Ying‑Chi Yu Zhi‑Min Dai 
The complex structure and strong heterogeneity of advanced nuclear reactor systems pose challenges for high-fidelity neutron-shielding calculations. Unstructured meshes exhibit strong geometric adaptability and can ov...
关键词：Shielding calculation Discrete ordinates method Discontinuous Galerkin finite element method Unstructured meshes 
A Variational Multiscale Method for Particle Dispersion Modeling in the Atmosphere
《Fluid Dynamics & Materials Processing》2023年第3期743-753,共11页Y.Nishio B.Janssens K.Limam J.van Beeck 
The authors received the funding of the Royal Higher Institute for Defence(MSP16-06).
A LES model is proposed to predict the dispersion of particles in the atmosphere in the context of Chemical,Biological,Radiological and Nuclear(CBRN)applications.The code relies on the Finite Element Method(FEM)for bo...
关键词：ABL(Atmospheric boundary layer) CFD FEM LES SUPG(Streamline upwind petrov–Galerkin) Turbulent flow VMS(Variational MultiScale method) 
Fifth-Order A-WENO Schemes Based on the Adaptive Diffusion Central-Upwind Rankine-Hugoniot Fluxes
《Communications on Applied Mathematics and Computation》2023年第1期295-314,共20页Bao-Shan Wang Wai Sun Don Alexander Kurganov Yongle Liu 
The work of B.S.Wang and W.S.Don was partially supported by the Ocean University of China through grant 201712011;The work of A.Kurganov was supported in part by NSFC grants 11771201 and 1201101343;by the fund of the Guangdong Provincial Key Laboratory of Computational Science and Material Design(No.2019B030301001).
We construct new fifth-order alternative WENO(A-WENO)schemes for the Euler equations of gas dynamics.The new scheme is based on a new adaptive diffusion centralupwind Rankine-Hugoniot(CURH)numerical flux.The CURH nume...
关键词：A-WENO schemes Central-upwind schemes Discrete Rankine-Hugoniot conditions Numerical dissipation switch Local speeds of propagation Euler equations of gas dynamics 
AConservative Upwind Approximation on Block-Centered Difference for Chemical Oil Recovery Displacement Problem
《Advances in Applied Mathematics and Mechanics》2022年第6期1246-1275,共30页Changfeng Li Yirang Yuan Aijie Cheng Huailing Song 
the Natural Science Foundation of Shandong Province(Grant No.ZR2021MA019);Natural Science Foundation of Hunan Province(Grant No.2018JJ2028);National Natural Science Foundation of China(Grant No.11871312).
A kind of conservative upwind method is discussed for chemical oil recovery displacement in porous media.The mathematical model is formulated by a nonlinear convection-diffusion system dependent on the pressure,Darcy ...
关键词：Chemical oil recovery upwind block-centered difference fractional step difference elemental conservation convergence analysis. 
Numerical simulation for 2D double-diffusive convection(DDC) in rectangular enclosures based on a high resolution upwind compact streamfunction model Ⅰ: numerical method and code validation
《Applied Mathematics and Mechanics(English Edition)》2022年第9期1431-1448,共18页Yaping YAN Shuang WU Kaiyuan TIAN Zhenfu TIAN 
supported by the National Natural Science Foundation of China(Nos.11872151,11372075,and 91330112)。
A high resolution upwind compact streamfunction numerical algorithm for two-dimensional(2D)double-diffusive convection(DDC)is developed.The unsteady Navier-Stokes(N-S)equations in the streamfunction-velocity form and ...
关键词：double diffusive convection(DDC) high resolution heat and mass transfer upwind compact difference streamfunction formulation 
A Spectral Method for Convection-Diffusion Equations
《Applied Mathematics》2022年第12期968-987,共20页Peng Guo Qin Wang Zhengang Zhao 
In the practical problems such as nuclear waste pollution and seawater intrusion etc., many problems are reduced to solving the convection-diffusion equation, so the research of convection-diffusion equation is of gre...
关键词：Convection-Diffusion Equation Central Finite Difference Method Upwind Difference Method CHEBYSHEV Spectral Method 
Superconvergence Analysis of the Runge-Kutta Discontinuous Galerkin Method with Upwind-Biased Numerical Flux for Two-Dimensional Linear Hyperbolic Equation被引量：1
《Communications on Applied Mathematics and Computation》2022年第1期319-352,共34页Yuan Xu Qiang Zhang 
Yuan Xu is supported by the NSFC Grant 11671199;Qiang Zhang is supported by the NSFC Grant 11671199.
In this paper,we shall establish the superconvergence properties of the Runge-Kutta dis-continuous Galerkin method for solving two-dimensional linear constant hyperbolic equa-tion,where the upwind-biased numerical flu...
关键词：Runge-Kutta discontinuous Galerkin method Upwind-biased flux Superconvergence analysis Hyperbolic equation Two dimensions 
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