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High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws: 《Communications in Computational Physics》2023年第9期1043-1078,共36页Shinichi Takagi Hiro Wakimura Lin Fu Feng Xiao; supported by National Key R&D Program of China(No.2022YFA1004500);Lin Fu acknowledges the fund from the Research Grants Council(RGC)of the Government of Hong Kong Special Administrative Region(HKSAR)with RGC/ECS Project(No.26200222);the fund from Guangdong Basic and Applied Basic Research Foundation(No.2022A1515011779);the fund from Key Laboratory of Computational Aerodynamics,AVIC Aerodynamics Research Institute,and the fund from the Project of Hetao Shenzhen-Hong Kong Science and Technology Innovation Cooperation Zone(No.HZQB-KCZYB-2020083);Feng Xiao acknowledges the fund from JSPS(Japan Society for the Promotion of Science)under Grant Nos.18H01366 and 19H05613;Hiro Wakimura acknowledges the fund from JSPS under Grant No.22KJ1331.; While the recently proposed TENO(targeted essentially non-oscillatory)schemes[Fu et al.,Journal of Computational Physics 305(2016):333-359]exhibit better performance than the classical WENO(weighted essentially non-os...; 关键词：TENO THINC WENO high-order numerical schemes low-dissipation schemes compressible flows

High-Order Local Discontinuous Galerkin Method with Multi-Resolution WENO Limiter for Navier-Stokes Equations on Triangular Meshes: 《Communications in Computational Physics》2023年第5期1217-1239,共23页Yizhou Lu Jun Zhu Shengzhu Cui Zhenming Wang Linlin Tian Ning Zhao; In this paper,a new multi-resolution weighted essentially non-oscillatory(MR-WENO)limiter for high-order local discontinuous Galerkin(LDG)method is designed for solving Navier-Stokes equations on triangular meshes.Thi...; 关键词：Local discontinuous Galerkin method multi-resolution WENO limiter triangular meshes Navier-Stokes equations

High-Order Unified Gas-kinetic Scheme: 《Communications in Computational Physics》2022年第9期951-979,共29页Gyuha Lim Yajun Zhu Kun Xu; supported by National Science Foundation of China(12172316);China Hong Kong Research Grant Council(16208021);Department of Science and Technology of Guangdong Province(Grant No.2020B1212030001).; In this paper,we present a high-order unified gas-kinetic scheme(UGKS)using the weighted essentially non-oscillatory with adaptive-order(WENO-AO)method for spatial reconstruction and the two-stage fourth-order scheme ...; 关键词：High-order reconstruction two-stage fourth-order scheme WENO-AO micro flow

A High-Order Direct Discontinuous Galerkin Method for Variable Density Incompressible Flows: 《Communications in Computational Physics》2022年第8期850-877,共28页Fan Zhang Tiegang Liu; supported by theNationalNatural Science Foundation of China No.12001020.; In this work,we develop a novel high-order discontinuous Galerkin(DG)method for solving the incompressible Navier-Stokes equations with variable density.The incompressibility constraint at cell interfaces is relaxed b...; 关键词：Variable density incompressible flows direct discontinuous Galerkin method artificial compressibility high-order accuracy

A High-Order Discontinuous Galerkin Solver for Helically Symmetric Flows: 《Communications in Computational Physics》2021年第6期288-320,共33页Dominik Dierkes Florian Kummer Dominik Plumacher; We present a high-order discontinuous Galerkin(DG)scheme to solve the system of helically symmetric Navier-Stokes equations which are discussed in[28].In particular,we discretize the helically reduced Navier-Stokes eq...; 关键词：Discontinuous Galerkin(DG) helical flows

Capturing Near-Equilibrium Solutions: A Comparison between High-Order Discontinuous Galerkin Methods and Well-Balanced Schemes: 《Communications in Computational Physics》2019年第6期1-34,共34页Maria Han Veiga David A.Velasco-Romero Remi Abgrall Romain Teyssier; Equilibrium or stationary solutions usually proceed through the exact balance between hyperbolic transport terms and source terms. Such equilibrium solutions are affected by truncation errors that prevent any classica...; 关键词：Numerical methods BENCHMARK well-balanced methods discontinuous Galerkin methods

A Mean Curvature Regularized Based Model for Demodulating Phase Maps from Fringe Patterns: 《Communications in Computational Physics》2018年第6期27-43,共17页Carlos Brito-Loeza Ricardo Legarda-Saenz Arturo Espinosa-Romero Anabel Martin-Gonzalez; We introduce a variationalmethod for demodulating phasemaps fromfringe patterns.This newmethod is based on themean curvature of the level sets of the phase surface that is used for regularization.The performance of th...; 关键词：Fringe analysis INTERFEROMETRY high-order regularization variational models

An Implicit Algorithm for High-Order DG/FV Schemes for Compressible Flows on 2D Arbitrary Grids: 《Communications in Computational Physics》2015年第1期287-316,共30页Laiping Zhang Ming Li Wei Liu Xin He; This work is supported partially by National Basic Research Program of China(Grant No.2009CB723800);by National Science Foundation of China(Grant Nos.11402290 and 91130029).; A Newton/LU-SGS(lower-upper symmetric Gauss-Seidel)iteration implicit method was developed to solve two-dimensional Euler and Navier-Stokes equations by the DG/FV hybrid schemes on arbitrary grids.The Newton iteration...; 关键词：Implicit algorithm discontinuous Galerkin method DG/FV hybrid Scheme Newton iteration Gauss-Seidel iteration

High-Order Symplectic Schemes for Stochastic Hamiltonian Systems被引量：1: 《Communications in Computational Physics》2014年第6期169-200,共32页Jian Deng Cristina Anton Yau Shu Wong; The construction of symplectic numerical schemes for stochastic Hamiltonian systems is studied.An approach based on generating functions method is proposed to generate the stochastic symplectic integration of any desi...; 关键词：Stochastic Hamiltonian systems symplectic integration mean-square convergence high-order schemes.

A High-Order Accurate Gas-Kinetic Scheme for One-and Two-Dimensional Flow Simulation: 《Communications in Computational Physics》2014年第4期911-943,共33页Na Liu Huazhong Tang; supported by the National Natural Science Foundation of China(grant numbers:10925101 and 91330205).; This paper develops a high-order accurate gas-kinetic scheme in the framework of the finite volume method for the one-and two-dimensional flow simulations,which is an extension of the third-order accurate gas-kinetic ...; 关键词：Gas-kinetic scheme initial reconstruction BGK model Boltzmann equation velocity distribution function

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