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Advances in Applied Mathematics and Mechanics最新文献

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A Study of Fifth-Order WENO Reconstruction for Genuinely Two-Dimensional Convection-Pressure Flux Split Riemann Solver 真正二维对流-压力通量分立黎曼求解器的五阶 WENO 重构研究
IF 1.5 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2024-07-01 DOI: 10.4208/aamm.oa-2022-0299
Shide Tan, Haizhuan Yuan and Lijun Hu
{"title":"A Study of Fifth-Order WENO Reconstruction for Genuinely Two-Dimensional Convection-Pressure Flux Split Riemann Solver","authors":"Shide Tan, Haizhuan Yuan and Lijun Hu","doi":"10.4208/aamm.oa-2022-0299","DOIUrl":"https://doi.org/10.4208/aamm.oa-2022-0299","url":null,"abstract":". Although the genuinely two-dimensional HLL-CPS solver holds the inherent multidimensionality property and capability of resolving contact discontinuities, the conventional low-order (second-order and below) reconstruction methods still limits its application in the two-dimensional complex flows involving shock waves and shear layers. A fifth-order reconstruction method is proposed for the genuinely two-dimensional HLL-CPS solver. The conserved variable vectors at the midpoints of interfaces are approximated by the fifth-order 1D WENO reconstruction. Meanwhile, variables at the corners are evaluated by a dimension-by-dimension reconstruction method consisting of a number of 1D fifth-order WENO sweeps. To avoid introducing spurious oscillations, each reconstruction is carried out in the corresponding local characteristic fields. Numerical results of several benchmark tests indicate the higher-order accuracy and the multidimensionality property of the proposed scheme. Compared with the 1D HLLE, HLLC and HLL-CPS schemes, the proposed high-order genuinely two-dimensional HLL-CPS solver provides higher resolution for contact discontinuities and presents better robustness against the shock anomalies.","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141704014","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Truncated-Type Explicit Numerical Method for the Stochastic Allen-Cahn Equation 随机艾伦-卡恩方程的截断型显式数值方法
IF 1.5 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2024-07-01 DOI: 10.4208/aamm.oa-2022-0240
Weijun Zhan and Qian Guo
{"title":"A Truncated-Type Explicit Numerical Method for the Stochastic Allen-Cahn Equation","authors":"Weijun Zhan and Qian Guo","doi":"10.4208/aamm.oa-2022-0240","DOIUrl":"https://doi.org/10.4208/aamm.oa-2022-0240","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141711099","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Field Concentration between Nearly-Touching Multiscale Inclusions in the Quasi-Static Regime 论准静态下近于接触的多尺度夹杂物之间的场集中
IF 1.5 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2024-07-01 DOI: 10.4208/aamm.oa-2023-0104
Youjun Deng, Lingzheng Kong, Hongyu Liu and Liyan Zhu
{"title":"On Field Concentration between Nearly-Touching Multiscale Inclusions in the Quasi-Static Regime","authors":"Youjun Deng, Lingzheng Kong, Hongyu Liu and Liyan Zhu","doi":"10.4208/aamm.oa-2023-0104","DOIUrl":"https://doi.org/10.4208/aamm.oa-2023-0104","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141708767","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Exploring Acoustic and Sound Wave Propagation Simulations: A Novel Time Advancement Method for Homogeneous and Heterogeneous Media 探索声波和声波传播模拟：针对均质和异质介质的新型时间推进法
IF 1.5 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2024-07-01 DOI: 10.4208/aamm.oa-2023-0195
Shashi Kumar, Bangaru Ramcharan, Vivek S. Yadav, Ankit Singh, Yogesh G. Bhumkar and Manoj K. Rajpoot
{"title":"Exploring Acoustic and Sound Wave Propagation Simulations: A Novel Time Advancement Method for Homogeneous and Heterogeneous Media","authors":"Shashi Kumar, Bangaru Ramcharan, Vivek S. Yadav, Ankit Singh, Yogesh G. Bhumkar and Manoj K. Rajpoot","doi":"10.4208/aamm.oa-2023-0195","DOIUrl":"https://doi.org/10.4208/aamm.oa-2023-0195","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141716070","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An Efficient Regularized Lattice Boltzmann Method to Solve Consistent and Conservative Phase Field Model for Simulating Incompressible Two-Phase Flows 用高效正则化晶格玻尔兹曼法求解用于模拟不可压缩两相流的一致和保守相场模型
IF 1.5 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2024-07-01 DOI: 10.4208/aamm.oa-2024-0021
Xuguang Yang and Yuze Zhang
{"title":"An Efficient Regularized Lattice Boltzmann Method to Solve Consistent and Conservative Phase Field Model for Simulating Incompressible Two-Phase Flows","authors":"Xuguang Yang and Yuze Zhang","doi":"10.4208/aamm.oa-2024-0021","DOIUrl":"https://doi.org/10.4208/aamm.oa-2024-0021","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141703759","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Time-Space Adaptive Finite Element Method for Nonlinear Schr"{o}dinger Equation 非线性薛定谔方程的时空自适应有限元法
IF 1.5 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2024-07-01 DOI: 10.4208/aamm.oa-2023-0071
Yaoyao Chen, Ying Liu and Hao Wang
{"title":"Time-Space Adaptive Finite Element Method for Nonlinear Schr\"{o}dinger Equation","authors":"Yaoyao Chen, Ying Liu and Hao Wang","doi":"10.4208/aamm.oa-2023-0071","DOIUrl":"https://doi.org/10.4208/aamm.oa-2023-0071","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141690523","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Exponential Transformation Based Lattice Boltzmann Model for Convection-Diffusion Equation 基于指数变换的对流扩散方程的晶格玻尔兹曼模型
IF 1.5 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2024-07-01 DOI: 10.4208/aamm.oa-2023-0031
Ting Zhang, Shuqi Cui, Ning Hong and Baochang Shi
{"title":"The Exponential Transformation Based Lattice Boltzmann Model for Convection-Diffusion Equation","authors":"Ting Zhang, Shuqi Cui, Ning Hong and Baochang Shi","doi":"10.4208/aamm.oa-2023-0031","DOIUrl":"https://doi.org/10.4208/aamm.oa-2023-0031","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141708637","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Fast Preconditioning Strategy for QSC-CN Scheme of Space Fractional Diffusion Equations and Its Spectral Analysis 空间分数扩散方程 QSC-CN 方案的快速预处理策略及其谱分析
IF 1.5 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2024-07-01 DOI: 10.4208/aamm.oa-2023-0050
Wei Qu, Yuanyuan Huang and Siu-Long Lei
{"title":"A Fast Preconditioning Strategy for QSC-CN Scheme of Space Fractional Diffusion Equations and Its Spectral Analysis","authors":"Wei Qu, Yuanyuan Huang and Siu-Long Lei","doi":"10.4208/aamm.oa-2023-0050","DOIUrl":"https://doi.org/10.4208/aamm.oa-2023-0050","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141701429","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An Efficient Method for the RCS Reduction of Cavities in the Ground Plane 降低地平面空腔 RCS 的高效方法
IF 1.5 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2024-07-01 DOI: 10.4208/aamm.oa-2022-0244
Xun Lu
{"title":"An Efficient Method for the RCS Reduction of Cavities in the Ground Plane","authors":"Xun Lu","doi":"10.4208/aamm.oa-2022-0244","DOIUrl":"https://doi.org/10.4208/aamm.oa-2022-0244","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141716863","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Error Analysis of a New Euler Semi-Implicit Time-Discrete Scheme for the Incompressible MHD System with Variable Density 针对密度可变的不可压缩多流体力学系统的新型欧拉半隐式时间离散方案的误差分析
IF 1.5 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2024-07-01 DOI: 10.4208/aamm.oa-2023-0025
Yuan Li and Xuewei Cui
{"title":"Error Analysis of a New Euler Semi-Implicit Time-Discrete Scheme for the Incompressible MHD System with Variable Density","authors":"Yuan Li and Xuewei Cui","doi":"10.4208/aamm.oa-2023-0025","DOIUrl":"https://doi.org/10.4208/aamm.oa-2023-0025","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141712776","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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