Advances in Applied Mathematics and Mechanics最新文献

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A High-Order Localized Artificial Diffusivity Scheme for Discontinuity Capturing on 1D Drift-Flux Models for Gas-Liquid Flows 一维气液流动漂移通量模型不连续捕获的高阶局部人工扩散率格式
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-04-01 DOI: 10.4208/aamm.oa-2022-0022
Adyllyson H. Nascimento and Eugênio S. Rosa
{"title":"A High-Order Localized Artificial Diffusivity Scheme for Discontinuity Capturing on 1D Drift-Flux Models for Gas-Liquid Flows","authors":"Adyllyson H. Nascimento and Eugênio S. Rosa","doi":"10.4208/aamm.oa-2022-0022","DOIUrl":"https://doi.org/10.4208/aamm.oa-2022-0022","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43187173","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 Nitsche-Based Element-Free Galerkin Method for Semilinear Elliptic Problems 基于Nitsche的无单元Galerkin方法求解椭圆型问题
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-04-01 DOI: 10.4208/aamm.oa-2022-0019
{"title":"A Nitsche-Based Element-Free Galerkin Method for Semilinear Elliptic Problems","authors":"","doi":"10.4208/aamm.oa-2022-0019","DOIUrl":"https://doi.org/10.4208/aamm.oa-2022-0019","url":null,"abstract":". A Nitsche-based element-free Galerkin (EFG) method for solving semilinear elliptic problems is developed and analyzed in this paper. The existence and uniqueness of the weak solution for semilinear elliptic problems are proved based on a condition that the nonlinear term is an increasing Lipschitz continuous function of the unknown function. A simple iterative scheme is used to deal with the nonlinear integral term. We proved the existence, uniqueness and convergence of the weak solu-tion sequence for continuous level of the simple iterative scheme. A commonly used assumption for approximate space, sometimes called inverse assumption, is proved. Optimal order error estimates in L 2 and H 1 norms are proved for the linear and semi-linear elliptic problems. In the actual numerical calculation, the characteristic distance h does not appear explicitly in the parameter β introduced by the Nitsche method. The theoretical results are confirmed numerically.","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41687009","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: 6
On the Characteristic Length Scale for the Synthetic Turbulence Based on the Spalart-Allmaras Model 基于Spalart-Allmaras模型的合成湍流特征长度尺度研究
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-04-01 DOI: 10.4208/aamm.oa-2021-0298
Qilong Guo, Pengxin Liu, Chen Li, Dong Sun, Xianxu Yuan
{"title":"On the Characteristic Length Scale for the Synthetic Turbulence Based on the Spalart-Allmaras Model","authors":"Qilong Guo, Pengxin Liu, Chen Li, Dong Sun, Xianxu Yuan","doi":"10.4208/aamm.oa-2021-0298","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0298","url":null,"abstract":"In the hybrid RANS-LES simulations, proper turbulent fluctuations should be added at the RANS-to-LES interface to drive the numerical solution restoring to a physically resolved turbulence as rapidly as possible. Such turbulence generation methods mostly need to know the distribution of the characteristic length scale of the background RANS model, which is important for the recovery process. The approximation of the length scale for the Spalart-Allmaras (S-A) model is not a trivial issue since the model's one-equation nature. As a direct analogy, the approximations could be obtained from the definition of the Prandtl's mixing length. Moreover, this paper proposes a new algebraic expression to approximate the intrinsic length scale of the S-A model. The underlying transportation mechanism of S-A model are largely exploited in the derivation of this new expression. The new proposed expression is employed in the generation of synthetic turbulence to perform the hybrid RANS-LES simulation of canonical wall-bounded turbulent flows. The comparisons demonstrated the feasibility and improved performance of the new length scale on generating synthetic turbulence at the LES inlet.","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47836589","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
Vibration Behavior of a Sandwich Porous Elliptical Micro-Shell with a Magneto-Rheological Core Based on the Modified Couple Stress Theory 基于修正耦合应力理论的磁流变核夹层多孔椭圆微壳振动特性研究
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-03-01 DOI: 10.4208/aamm.oa-2022-0176
A. Mohammadpour, S. J. Mehrabadi, P. Monfared
{"title":"Vibration Behavior of a Sandwich Porous Elliptical Micro-Shell with a Magneto-Rheological Core Based on the Modified Couple Stress Theory","authors":"A. Mohammadpour, S. J. Mehrabadi, P. Monfared","doi":"10.4208/aamm.oa-2022-0176","DOIUrl":"https://doi.org/10.4208/aamm.oa-2022-0176","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46801517","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
Spectral Galerkin Approximation of Fractional Optimal Control Problems with Fractional Laplacian 分数阶拉普拉斯分数阶最优控制问题的谱伽辽金逼近
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-03-01 DOI: 10.4208/aamm.oa-2022-0173
Jiaqi Zhang, Y. Zhou
{"title":"Spectral Galerkin Approximation of Fractional Optimal Control Problems with Fractional Laplacian","authors":"Jiaqi Zhang, Y. Zhou","doi":"10.4208/aamm.oa-2022-0173","DOIUrl":"https://doi.org/10.4208/aamm.oa-2022-0173","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44167898","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
Construction of Non-Equilibrium Gas Distribution Functions through Expansions in Peculiar Velocity Space 在特殊速度空间中通过展开构造非平衡气体分布函数
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-02-01 DOI: 10.4208/aamm.oa-2022-0195
Z. Yuan, Z. Chen, C. Shu, Y. Zhang
{"title":"Construction of Non-Equilibrium Gas Distribution Functions through Expansions in Peculiar Velocity Space","authors":"Z. Yuan, Z. Chen, C. Shu, Y. Zhang","doi":"10.4208/aamm.oa-2022-0195","DOIUrl":"https://doi.org/10.4208/aamm.oa-2022-0195","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43595351","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 Coiflet Wavelet Homotopy Technique for Nonlinear PDEs: Application to the Extreme Bending of Orthotropic Plate with Forced Boundary Constraints 非线性偏微分方程的Coiflet小波同态技术——应用于具有强迫边界约束的正交各向异性板的极限弯曲
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-02-01 DOI: 10.4208/aamm.oa-2022-0214
Q-B Yu, Shuaimin Wang, Junfeng Xu
{"title":"A Coiflet Wavelet Homotopy Technique for Nonlinear PDEs: Application to the Extreme Bending of Orthotropic Plate with Forced Boundary Constraints","authors":"Q-B Yu, Shuaimin Wang, Junfeng Xu","doi":"10.4208/aamm.oa-2022-0214","DOIUrl":"https://doi.org/10.4208/aamm.oa-2022-0214","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49639866","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 Convex Approximation for a PDE Constrained Fractional Optimization Problem with an Application to Photonic Crystal Design PDE约束分数优化问题的凸逼近及其在光子晶体设计中的应用
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-02-01 DOI: 10.4208/aamm.oa-2022-0003
Mengyue Wu, Jianhua Zhang
{"title":"A Convex Approximation for a PDE Constrained Fractional Optimization Problem with an Application to Photonic Crystal Design","authors":"Mengyue Wu, Jianhua Zhang","doi":"10.4208/aamm.oa-2022-0003","DOIUrl":"https://doi.org/10.4208/aamm.oa-2022-0003","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43041691","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 Node-Based Smoothed Finite Element Method with Linear Gradient Fields for Elastic Obstacle Scattering Problems 弹性障碍物散射问题的线性梯度场节点光滑有限元法
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-02-01 DOI: 10.4208/aamm.oa-2021-0270
J. Yue, Yu Wang, Yan Li
{"title":"A Node-Based Smoothed Finite Element Method with Linear Gradient Fields for Elastic Obstacle Scattering Problems","authors":"J. Yue, Yu Wang, Yan Li","doi":"10.4208/aamm.oa-2021-0270","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0270","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47125060","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
Partial Topology Identification of Stochastic Multi-Weighted Complex Networks Based on Graph-Theoretic Method and Adaptive Synchronization 基于图论方法和自适应同步的随机多加权复杂网络局部拓扑识别
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-02-01 DOI: 10.4208/aamm.oa-2022-0068
Huiling Chen, Chunmei Zhang, Yu Xu
{"title":"Partial Topology Identification of Stochastic Multi-Weighted Complex Networks Based on Graph-Theoretic Method and Adaptive Synchronization","authors":"Huiling Chen, Chunmei Zhang, Yu Xu","doi":"10.4208/aamm.oa-2022-0068","DOIUrl":"https://doi.org/10.4208/aamm.oa-2022-0068","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49264778","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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