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High-order targeted essentially non-oscillatory scheme for two-fluid plasma model被引量：1: 《Applied Mathematics and Mechanics(English Edition)》2023年第6期941-960,共20页Yuhang HOU Ke JIN Yongliang FENG Xiaojing ZHENG; Project supported by the National Natural Science Foundation of China(Nos.12072246,11972272,11872286);the National Numerical Wind Tunnel Project of China(No.NNW2020ZT3-A23)。; The weakly ionized plasma flows in aerospace are commonly simulated by the single-fluid model,which cannot describe certain nonequilibrium phenomena by finite collisions of particles,decreasing the fidelity of the sol...; 关键词：PLASMA high-order scheme targeted essentially non-oscillatory(TENO)scheme two-fluid model

Influence of nonlinear spatial distribution of stress and strain on solving problems of solid mechanics: 《Applied Mathematics and Mechanics(English Edition)》2022年第9期1355-1366,共12页Chunyu ZHANG Biao WANG; supported by the Original Exploration Project of Natural Science Foundation of China(No.12150001);the National Key Research and Development Program of China(No.2018YFB1900400);the National Natural Science Foundation of China(No.11832019);the Nuclear Power Technology Innovation Center of Science Technology and Industry for National Defense of China(No.HDLCXZX-2021-HD-035)。; The stress and the strain should be defined as statistical variables averaged over the representative volume elements for any real continuum system.It is shown that their nonlinear spatial distributions undermine the ...; 关键词：nonlinear spatial distribution homogenization error high-order gradient size effect

Conservative high precision pseudo arc-length method for strong discontinuity of detonation wave被引量：1: 《Applied Mathematics and Mechanics(English Edition)》2022年第3期417-436,共20页Tianbao MA Chentao WANG Xiangzhao XU; Project supported by the National Natural Science Foundation of China(Nos.11822203 and 12032006); A hyperbolic conservation equation can easily generate strong discontinuous solutions such as shock waves and contact discontinuity.By introducing the arc-length parameter,the pseudo arc-length method(PALM)smoothens t...; 关键词：pseudo arc-length method(PALM) CONSERVATIVE strong discontinuity HIGH-ORDER weighted essentially non-oscillatory(WENO)

Stabilized seventh-order dissipative compact scheme using simultaneous approximation terms: 《Applied Mathematics and Mechanics(English Edition)》2019年第6期823-836,共14页Jiaxian QIN Yaming CHEN Xiaogang DENG; supported by the National Natural Science Foundation of China(No.11601517);the Basic Research Foundation of National University of Defense Technology(No.ZDYYJ-CYJ20140101); To ensure time stability of a seventh-order dissipative compact finite difference scheme, fourth-order boundary closures are used near domain boundaries previously. However, this would reduce the global convergence ra...; 关键词：HIGH-ORDER SCHEME compact SCHEME time stability simultaneous approximation TERM (SAT)

Optimization of a global seventh-order dissipative compact finite-difference scheme by a genetic algorithm: 《Applied Mathematics and Mechanics(English Edition)》2018年第11期1679-1690,共12页Yu LIN Yaming CHEN Chuanfu XU Xiaogang DENG; Project supported by the National Natural Science Foundation of China(Nos.11601517,11502296,61772542,and 61561146395);the Basic Research Foundation of National University of Defense Technology(No.ZDYYJ-CYJ20140101); A global seventh-order dissipative compact finite-difference scheme is optimized in terms of time stability. The dissipative parameters appearing in the boundary closures are assumed to be different, resulting in an o...; 关键词：HIGH-ORDER dissipative compact finite-difference scheme genetic algorithm time stable

A high-order accurate wavelet method for solving Schrdinger equations with general nonlinearity被引量：3: 《Applied Mathematics and Mechanics(English Edition)》2018年第2期275-290,共16页Jiaqun WANG Xiaojing LIU Youhe ZHOU; supported by the National Natural Science Foundation of China(Nos.11502103 and11421062);the Open Fund of State Key Laboratory of Structural Analysis for Industrial Equipment of China(No.GZ15115); A sampling approximation for a function defined on a bounded interval is proposed by combining the Coiflet-type wavelet expansion and the boundary extension technique. Based on such a wavelet approximation scheme, a G...; 关键词：WAVELET Galerkin method generalized nonlinear SchrSdinger （NLS） equation high-order convergence

Efficient high-order immersed interface methods for heat equations with interfaces: 《Applied Mathematics and Mechanics(English Edition)》2014年第9期1189-1202,共14页刘建康郑洲顺; supported by the National Natural Science Foundation of China(No.51174236);the National Basic Research Program of China(973 Program)(No.2011CB606306);the Opening Project of State Key Laboratory of Porous Metal Materials(No.PMM-SKL-4-2012); An efficient high-order immersed interface method （IIM） is proposed to solve two-dimensional （2D） heat problems with fixed interfaces on Cartesian grids, which has the fourth-order accuracy in the maximum norm in ...; 关键词：high-order compact （HOC） scheme alternative direction implicit （ADI）scheme immersed interface method （IIM） Richardson extrapolation method

High-order Lagrangian cell-centered conservative scheme on unstructured meshes被引量：1: 《Applied Mathematics and Mechanics(English Edition)》2014年第9期1203-1222,共20页葛全文; supported by the National Natural Science Foundation of China(Nos.11172050,11372051,and 11001027); A high-order Lagrangian cell-centered conservative gas dynamics scheme is presented on unstructured meshes. A high-order piecewise pressure of the cell is intro- duced. With the high-order piecewise pressure of the ce...; 关键词：high-order sub-cell force high-order Lagrangian cell-centered conservativescheme high-order piecewise pressure of cell unstructured mesh

High-order discontinuous Galerkin solver on hybrid anisotropic meshes for laminar and turbulent simulations被引量：2: 《Applied Mathematics and Mechanics(English Edition)》2014年第7期799-812,共14页姜振华阎超于剑; Project supported by the National Basic Research Program of China(No.2009CB724104); Efficient and robust solution strategies are developed for discontinuous Galerkin （DG） discretization of the Navier-Stokes （NS） and Reynolds-averaged NS （RANS） equations on structured/unstructured hybrid meshes....; 关键词：discontinuous Galerkin （DG） method implicit method Baldwin-Lomax（BL） model high order accuracy structured/unstructured hybrid mesh

Rotor wake capture improvement based on high-order spatially accurate schemes and chimera grids: 《Applied Mathematics and Mechanics(English Edition)》2011年第12期1565-1576,共12页徐丽翁培奋; supported by the National Natural Science Foundation of China(No.10802046); A high-order upwind scheme has been developed to capture the vortex wake of a helicopter rotor in the hover based on chimera grids. In this paper, an improved fifth-order weighted essentially non-oscillatory （WENO） ...; 关键词：hovering rotor vortex wake Navier-Stokes equation chimera grid weightedessentially non-oscillatory （WENO） scheme

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