检索结果-南通市图书馆

A Well-Balanced Partial Relaxation Scheme for the Two-Dimensional Saint-Venant System

Communications in Computational Physics 2023年第5期33卷 1432-1465页

作者： Xi Chen alexander kurganov Department ofMathematics Harbin Institute of TechnologyHarbin150001China and Department of MathematicsSouthern University of Science and TechnologyShenzhen518055China Department of Mathematics SUSTech International Center for Mathematics and Guangdong Provincial Key Laboratory of Computational Science and Material DesignSouthern University of Science and TechnologyShenzhen518055China

We develop a new moving-water equilibria preserving partial relaxation(PR)scheme for the two-dimensional(2-D)Saint-Venant systemof shallowwater *** new scheme is a 2-D generalization of the one-dimensional(1-D)PR scheme recently proposed in[***,***,***,***,***,***.,42(2020),pp.A2206–A2229].Our scheme is based on the PR approximation,which is designed in two ***,the geometric source terms are incorporated into the discharge fluxes,which results in a hyperbolic system with global ***,the discharge equations are relaxed so that the nonlinearity is moved into the stiff right-hand side of the four added auxiliary *** obtained PR system is then numerically integrated using a semi-discrete hybrid upwind/central-upwind finitevolume method combined with an efficient semi-implicit ODE *** new 2-D PR scheme inherits the main advantages of the 1-D PR scheme:(i)no special treatment of the geometric source terms is required,(ii)no nonlinear(cubic)equations should be solved to obtain the point values of the water depth out of the reconstructed *** performance of the proposed PR scheme is illustrated on a number of numerical examples,in which we demonstrate that the PR scheme not only capable of exactly preserving quasi 1-D moving-water steady states and accurately capturing their small perturbations,but can also handle genuinely 2-D steady states and their small perturbations in a non-oscillatory manner.

关键词： Saint-Venant system of shallow water equations partial relaxation scheme wellbalanced method steady-state solutions(equilibria) moving-water and still-water equilibria

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Fifth-Order A-WENO Path-Conservative Central-Upwind Scheme for Behavioral Non-Equilibrium Traffic Models

引用

Communications in Computational Physics 2023年第3期33卷 692-732页

作者： Shaoshuai Chu alexander kurganov Saeed Mohammadian Zuduo Zheng Department of Mathematics Southern University of Science and TechnologyShenzhen518055P.R.China Shenzhen International Center for Mathematics and Guangdong Provincial Key Laboratory of Computational Science and Material Design Southern University of Science and TechnologyShenzhen518055P.R.China School of Civil Engineering the University of QueenslandBrisbane Qld4072Australia.

Non-equilibrium hyperbolic traffic models can be derived as continuum approximations of car-following models and in many cases the resulting continuum models are *** leads to numerical difficulties,which seem to have discouraged further development of complex behavioral continuum models,which is a significant research *** this paper,we develop a robust numerical scheme that solves hyperbolic traffic flow models based on their non-conservative *** develop a fifth-order alternative weighted essentially non-oscillatory(A-WENO)finite-difference scheme based on the path-conservative central-upwind(PCCU)method for several non-equilibrium traffic flow *** order to treat the non-conservative product terms,we use a path-conservative *** this end,we first apply the recently proposed secondorder finite-volume PCCU scheme to the traffic flow models,and then extend this scheme to the fifth-order of accuracy via the finite-difference A-WENO *** designed schemes are applied to three different traffic flow models and tested on a number of challenging numerical *** schemes produce quite accurate results though the resolution achieved by the fifth-order A-WENO scheme is *** proposed scheme in this paper sets the stage for developing more robust and complex continuum traffic flow models with respect to human psychological factors.

关键词： Finite-difference A-WENO schemes finite-volume central-upwind schemes pathconservative central-upwind schemes non-oscillatory schemes continuum traffic flow model driver behavior.

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Fifth-Order A-WENO Schemes Based on the Adaptive Diffusion Central-Upwind Rankine-Hugoniot Fluxes

引用

Communications on Applied Mathematics and Computation 2023年第1期5卷 295-314页

作者： Bao-Shan Wang Wai Sun Don alexander kurganov Yongle Liu School of Mathematical Sciences Ocean University of ChinaQingdao 266100ShandongChina Department of Mathematics SUSTech International Center for Mathematics and Guangdong Provincial Key Laboratory of Computational Science and Material DesignSouthern University of Science and TechnologyShenzhen 518055GuangdongChina Department of Mathematics Harbin Institute of TechnologyHarbin 150001HeilongjiangChina Department of Mathematics Southern University of Science and TechnologyShenzhen 518055GuangdongChina

We construct new fifth-order alternative WENO(A-WENO)schemes for the Euler equations of gas *** new scheme is based on a new adaptive diffusion centralupwind Rankine-Hugoniot(CURH)numerical *** CURH numerical fluxes have been recently proposed in[Garg et al.J Comput Phys 428,2021]in the context of secondorder semi-discrete finite-volume *** proposed adaptive diffusion CURH flux contains a smaller amount of numerical dissipation compared with the adaptive diffusion central numerical flux,which was also developed with the help of the discrete RankineHugoniot conditions and used in the fifth-order A-WENO scheme recently introduced in[Wang et *** J Sci Comput 42,2020].As in that work,we here use the fifth-order characteristic-wise WENO-Z interpolations to evaluate the fifth-order point values required by the numerical *** resulting one-and two-dimensional schemes are tested on a number of numerical examples,which clearly demonstrate that the new schemes outperform the existing fifth-order A-WENO schemes without compromising the robustness.

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

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Quasi-Lagrangian Acceleration of Eulerian Methods

引用

Communications in Computational Physics 2009年第9期6卷 743-757页

作者： Igor Kliakhandler alexander kurganov Department of Mathematical Sciences Michigan Technological UniversityHoughtonMI 49931USA Mathematics Department Tulane UniversityNew OrleansLA 70118USA

We present a simple and efficient strategy for the acceleration of explicit Eulerian methods for multidimensional hyperbolic systems of conservation *** strategy is based on the Galilean invariance of dynamic equations and optimization of the reference frame,in which the equations are numerically *** optimal reference frame moves(locally in time)with the average characteristic speed of the system,and,in this sense,the resulting method is *** leads to the acceleration of the numerical computations thanks to the optimal CFL condition and automatic adjustment of the computational domain to the evolving part of the *** show that our quasi-Lagrangian acceleration procedure may also reduce the numerical dissipation of the underlying Eulerian *** leads to a significantly enhanced resolution,especially in the supersonic *** demonstrate a great potential of the proposed method on a number of numerical examples.

关键词： Eulerian methods quasi-Lagrangian method finite volume methods Galilean invariance

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

On the Reduction of Numerical Dissipation in Central-Upwind Schemes

引用

Communications in Computational Physics 2007年第1期2卷 141-163页

作者： alexander kurganov Chi-Tien Lin Department of Mathematics Tulane UniversityNew OrleansLA 70118USA/Department of MathematicsUniversity of MichiganAnn ArborMI 48109USA. Department of Applied Mathematics Providence UniversityShalu433Taiwan.

We study central-upwind schemes for systems of hyperbolic conservation laws,recently introduced in[13].Similarly to staggered non-oscillatory central schemes,these schemes are central Godunov-type projection-evolution methods that enjoy the advantages of high resolution,simplicity,universality and *** the same time,the central-upwind framework allows one to decrease a relatively large amount of numerical dissipation present at the staggered central *** this paper,we present a modification of the one-dimensional fully-and semi-discrete central-upwind schemes,in which the numerical dissipation is reduced even *** goal is achieved by a more accurate projection of the evolved quantities onto the original *** the semi-discrete case,the reduction of dissipation procedure leads to a new,less dissipative numerical *** also extend the new semi-discrete scheme to the twodimensional case via the rigorous,genuinely multidimensional *** new semi-discrete schemes are tested on a number of numerical examples,where one can observe an improved resolution,especially of the contact waves.

关键词： Hyperbolic systems of conservation laws Godunov-type finite-volume methods central-upwind schemes numerical dissipation.

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Computing Multivalued Solutions of Pressureless Gas Dynamics by Deterministic Particle Methods

引用

Communications in Computational Physics 2009年第2期5卷 565-581页

作者： Alina Chertock alexander kurganov Department of Mathematics NC State UniversityRaleighNC 27695USA Mathematics Department Tulane UniversityNew OrleansLA 70118USA

We compute multivalued solutions of one-and two-dimensional pressureless gas dynamics equations by deterministic particle *** values of the computed solutions are to be recovered from their singular particle approximations using some smoothing *** study several recovery strategies and demonstrate ability of the particle methods to achieve high resolution.

关键词： Pressureless gas dynamics equations semiclassical transport models deterministic particle methods

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

ASecond-Order Finite-Difference Method for Compressible Fluids in Domains with Moving Boundaries

引用

Communications in Computational Physics 2018年第1期23卷 230-263页

作者： Alina Chertock Armando Coco alexander kurganov Giovanni Russo Department of Mathematics North Carolina State UniversityRaleighNC 27695USA Department of Mechanical Engineering and Mathematical Sciences Oxford Brookes UniversityOxford OX331HXUK Department of Mathematics Southern University of Science and TechnologyShenzhenGuangdong 518055China and Mathematics DepartmentTulane UniversityNew OrleansLA 70118USA Dipartimento diMatematica ed Informatica Universit`a di Catania95125CataniaItaly.

In this paper,we describe how to construct a finite-difference shockcapturing method for the numerical solution of the Euler equation of gas dynamics on arbitrary two-dimensional domainΩ,possibly with moving *** boundaries of the domain are assumed to be changing due to the movement of solid objects/obstacles/*** the motion of the boundary could be coupled with the fluid,all of the numerical tests are performed assuming that such a motion is prescribed and independent of the fluid *** method is based on discretizing the equation on a regular Cartesian grid in a rectangular domainΩ_(R)⊃Ω.Ωe identify inner and ghost *** inner points are the grid points located insideΩ,while the ghost points are the grid points that are outsideΩbut have at least one neighbor insideΩ.The evolution equations for inner points data are obtained from the discretization of the governing equation,while the data at the ghost points are obtained by a suitable extrapolation of the primitive variables(density,velocities and pressure).Particular care is devoted to a proper description of the boundary conditions for both fixed and time dependent *** numerical experiments are conducted to illustrate the validity of themethod.Ωe demonstrate that the second order of accuracy is numerically assessed on genuinely two-dimensional problems.

关键词： Compressible fluids Euler equations of gas dynamics ghost-cell extrapolation moving boundaries finite-difference shock-capturing methods

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Adaptive Moving Mesh Central-Upwind Schemes for Hyperbolic System of PDEs:Applications to Compressible Euler Equations and Granular Hydrodynamics

引用

Communications on Applied Mathematics and Computation 2021年第3期3卷 445-479页

作者： alexander kurganov Zhuolin Qu Olga S.Rozanova Tong Wu Department of Mathematics and SUSTech International Center for Mathematics Southern University of Science and TechnologyShenzhen 518055Guangdong ProvinceChina Department of Mathematics The University of Texas at San AntonioSan AntonioTX 78249USA Mathematics and Mechanics Faculty Moscow State UniversityMoscow 119991Russia

We introduce adaptive moving mesh central-upwind schemes for one-and two-dimensional hyperbolic systems of conservation and balance *** proposed methods consist of three ***,the solution is evolved by solving the studied system by the second-order semi-discrete central-upwind scheme on either the one-dimensional nonuniform grid or the two-dimensional structured quadrilateral *** the evolution step is complete,the grid points are redistributed according to the moving mesh differential ***,the evolved solution is projected onto the new mesh in a conservative *** resulting adaptive moving mesh methods are applied to the one-and two-dimensional Euler equations of gas dynamics and granular hydrodynamics *** numerical results demonstrate that in both cases,the adaptive moving mesh central-upwind schemes outperform their uniform mesh counterparts.

关键词： Adaptive moving mesh methods Finite-volume methods Central-upwind schemes Moving mesh differential equations Euler equations of gas dynamics Granular hydrodynamics Singular solutions

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Solving Two-Mode Shallow Water Equations Using Finite Volume Methods

引用

Communications in Computational Physics 2014年第10期16卷 1323-1354页

作者： Manuel Jesus Castro Dıaz Yuanzhen Cheng Alina Chertock alexander kurganov Dpto.de Analisis Matematico Facultad de CienciasUniversidad de MalagaCampus de Teatinos29071 M´alagaSpain. Mathematics Department Tulane UniversityNew OrleansLA 70118USA. Department of Mathematics North Carolina State UniversityRaleighNC 27695USA.

In this paper,we develop and study numerical methods for the two-mode shallow water equations recently proposed in[***,***,and ***,*** Dynamics,22(2008),pp.407–432].Designing a reliable numerical method for this system is a challenging task due to its conditional hyperbolicity and the presence of nonconservative *** present several numerical approaches—two operator splitting methods(based on either Roe-type upwind or central-upwind scheme),a central-upwind scheme and a path-conservative centralupwind scheme—and test their performance in a number of numerical *** obtained results demonstrate that a careful numerical treatment of nonconservative terms is crucial for designing a robust and highly accurate numerical method。

关键词： Two-mode shallow water equations nonconservative products conditional hyperbolicity finite volume methods central-upwind schemes splitting methods upwind schemes.

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Moving-Water Equilibria Preserving HLL-Type Schemes for the Shallow Water Equations

引用

Communications in Mathematical Research 2020年第3期36卷 247-271页

作者： Christian Klingenberg alexander kurganov Yongle Liu Markus Zenk Institute for Mathematics Wurzburg UniversityWurzburg 97074Germany Department of Mathematics and SUSTech International Center for Mathematics Southern University of Science and TechnologyShenzhen 518055China Department of Mathematics Harbin Institute of TechnologyHarbin 150001China.

We construct new HLL-type moving-water equilibria preserving upwind schemes for the one-dimensional Saint-Venant system of shallow water equations with nonflat bottom *** designed first-and secondorder schemes are tested on a number of numerical examples,in which we verify the well-balanced property as well as the ability of the proposed schemes to accurately capture small perturbations of moving-water steady states.

关键词： Shallow water equations Harten-Lax-Van Leer(HLL)scheme well-balanced method steady-state solutions(equilibria) moving-water and still-water equilibria

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

欢迎您,

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

请选择保存的检索档案：

请选择收藏分类：

通借通还

欢迎您,

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：