HIGH-ORDER

作品数：527被引量：695H指数：10
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A High-Order Localized Artificial Diffusivity Scheme for Discontinuity Capturing on 1D Drift-Flux Models for Gas-Liquid Flows
《Advances in Applied Mathematics and Mechanics》2024年第1期47-74,共28页Adyllyson H.Nascimento Eugenio S.Rosa 
CAPES-National Council for the Improvement of Higher Education(Grant No.88882.435210/2019-01).
A computational code is developed for the numerical solution of onedimensional transient gas-liquid flows using drift-flux models,in isothermal and also with phase change situations.For these two-phase models,classica...
关键词：Compressible two-phase flows drift-flux model localized artificial diffusivity highorder numerical methods 
Arbitrarily High-Order Energy-Preserving Schemes for the Camassa-Holm Equation Based on the Quadratic Auxiliary Variable Approach被引量：1
《Advances in Applied Mathematics and Mechanics》2023年第5期1233-1255,共23页Yuezheng Gong Qi Hong Chunwu Wang Yushun Wang 
Yuezheng Gong’s work is partially supported by the Foundation of Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems(Grant No.202002);the Fundamental Research Funds for the Central Universities(Grant No.NS2022070);the Natural Science Foundation of Jiangsu Province(Grant No.BK20220131);the National Natural Science Foundation of China(Grants Nos.12271252 and 12071216);Qi Hong’s work is partially supported by the National Natural Science Foundation of China(Grants No.12201297);the Foundation of Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems(Grant No.202001);Chunwu Wang’s work is partially supported by Science Challenge Project(Grant No.TZ2018002);National Science and Technology Major Project(J2019-II-0007-0027);Yushun Wang’s work is partially supported by the National Key Research and Development Program of China(Grant No.2018YFC1504205);the National Natural Science Foundation of China(Grants No.12171245).
In this paper,we present a quadratic auxiliary variable(QAV)technique to develop a novel class of arbitrarily high-order energy-preserving algorithms for the Camassa-Holm equation.The QAV approach is first utilized to...
关键词：Camassa-Holm equation quadratic auxiliary variable high-order energy-preserving schemes symplectic Runge-Kutta methods 
Inverse Scattering Transform and Soliton Solutions for the Hirota Equation with N Distinct Arbitrary Order Poles被引量：1
《Advances in Applied Mathematics and Mechanics》2022年第4期893-913,共21页Xiaofan Zhang Shoufu Tian Jinjie Yang 
supported by the National Natural Science Foundation of China under Grant No.11975306;the Natural Science Foundation of Jiangsu Province under Grant No.BK20181351;the Six Talent Peaks Project in Jiangsu Province under Grant No.JY-059;the Fundamental Research Fund for the Central Universities under the Grant Nos.2019ZDPY07 and 2019QNA35;the Postgraduate Research&Practice Innovation Program of Jiangsu Province under Grant No.KYCX212152.
We employ the Riemann-Hilbert(RH)method to study the Hirota equation with arbitrary order zero poles under zero boundary conditions.Through the spectral analysis,the asymptoticity,symmetry,and analysis of the Jost fun...
关键词：The Hirota equation zero boundary condition Riemann-Hilbert problem high-order poles soliton solutions 
High-Order Accurate Entropy Stable Finite Difference Schemes for One- and Two-Dimensional Special Relativistic Hydrodynamics被引量：8
《Advances in Applied Mathematics and Mechanics》2020年第1期1-29,共29页Junming Duan Huazhong Tang 
supported by the Special Project on High-performance Computing under the National Key R&D Program(No.2016YFB0200603);Science Challenge Project(No.TZ2016002);the National Natural Science Foundation of China(Nos.91630310 and 11421101),and High-Performance Computing Platform of Peking University.
This paper develops the high-order accurate entropy stable finite difference schemes for one-and two-dimensional special relativistic hydrodynamic equations.The schemes are built on the entropy conservative flux and t...
关键词：Entropy conservative scheme entropy stable scheme high order accuracy finite difference scheme special relativistic hydrodynamics 
Stability of Two Conservative,High-Order Fluid-Fluid Coupling Methods
《Advances in Applied Mathematics and Mechanics》2019年第6期1287-1338,共52页Jeffrey M.Connors Robert D.Dolan 
This paper investigates two methods of coupling fluids across an interface,motivated by air-sea interaction in application codes.One method is for sequential configurations,where the air code module in invoked over so...
关键词：AIR-SEA atmosphere-ocean fluid-fluid partitioned time stepping conservative coupling 
A High-OrderDiscontinuous GalerkinMethod for the Two-Dimensional Time-Domain Maxwell’s Equations on Curved Mesh被引量：1
《Advances in Applied Mathematics and Mechanics》2016年第1期104-116,共13页Hongqiang Lu Yida Xu Yukun Gao Wanglong Qin Qiang Sun 
National Natural Science Foundation of China:No.11272152 and Aeronautical Science Foundation of China:No.20101552018.
In this paper,a DG(Discontinuous Galerkin)method which has been widely employed in CFD(Computational Fluid Dynamics)is used to solve the twodimensional time-domain Maxwell’s equations for complex geometries on unstru...
关键词：Maxwell’s equations discontinuous Galerkin method curved mesh radar crosssection. 
A High-Order Numerical Method to Study Three-Dimensional Hydrodynamics in a Natural River被引量：2
《Advances in Applied Mathematics and Mechanics》2015年第2期180-195,共16页Luyu Shen Changgen Lu Weiguo Wu Shifeng Xue 
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...
关键词：Compact scheme three-dimensional hydrodynamics k-ǫturbulence model orthog-onal curvilinear coordinate system Runge-Kutta scheme 
A Straightforward hp-Adaptivity Strategy for Shock-Capturing with High-Order Discontinuous Galerkin Methods被引量：1
《Advances in Applied Mathematics and Mechanics》2014年第1期135-144,共10页Hongqiang Lu Qiang Sun 
the foundation of the National Natural Science Foundation of China(11272152);the Aeronautical Science Foundation of China(20101552018)。
In this paper,high-order Discontinuous Galerkin(DG)method is used to solve the two-dimensional Euler equations.A shock-capturing method based on the artificial viscosity technique is employed to handle physical discon...
关键词：HP-ADAPTIVITY shock capturing discontinuous Galerkin 
Analyses of the Dispersion Overshoot and Inverse Dissipation of the High-Order Finite Difference Scheme
《Advances in Applied Mathematics and Mechanics》2013年第6期809-824,共16页Qin Li Qilong Guo Hanxin Zhang 
This work was sponsored by the National Science Foundation of China under Grant number 10972023 and 11272037;also partially supported by National Basic Research Program of China(No.2009CB724100).The first author was very grateful to Prof.Frank Lu for his efforts on the revision of the manuscript.
Analyses were performed on the dispersion overshoot and inverse dissipation of the high-order finite difference scheme using Fourier and precision analysis.Schemes under discussion included the pointwise-and staggered...
关键词：High-order difference scheme dispersion overshoot inverse dissipation 
A High-Order NVD/TVD-Based Polynomial Upwind Scheme for the Modified Burgers’ Equations
《Advances in Applied Mathematics and Mechanics》2012年第5期617-635,共19页Wei Gao Yang Liu Bin Cao Hong Li 
This work is supported by the National Natural Science Foundation of China(Grant No.11061021);Key Project of Chinese Ministry of Education(12024);the Scientific Research Projection of Higher Schools of Inner Mongolia(NJ10016,NJ10006,NJZZ12011);the National Natural Science Foundation of Inner Mongolia Province(2011BS0102).
A bounded high order upwind scheme is presented for the modified Burgers’equation by using the normalized-variable formulation in the finite volume framework.The characteristic line of the present scheme in the norma...
关键词：modified Burgers’equation TVD NVD upwind scheme 
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