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Band Structure Calculations of Dispersive Photonic Crystals in 3D using Holomorphic Operator Functions 用全纯算子函数计算三维色散光子晶体的能带结构
IF 3.7 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2023-06-01 DOI: 10.4208/cicp.oa-2022-0233
Wenqiang Xiao, Bo Gong, Junshan Lin null, Jiguang Sun
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引用次数: 0
Learning Invariant Representation of Multiscale Hyperelastic Constitutive Law from Sparse Experimental Data 从稀疏实验数据学习多尺度超弹性本构律的不变表示
IF 3.7 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2023-06-01 DOI: 10.4208/cicp.oa-2023-0098
Rui He, Junzhi Cui, Zihao Yang, Jieqiong Zhang null, Xiaofei Guan
. Constitutive modeling of heterogeneous hyperelastic materials is still a challenge due to their complex and variable microstructures. We propose a multiscale data-driven approach with a hierarchical learning strategy for the discovery of a generic physics-constrained anisotropic constitutive model for the heterogeneous hyperelastic materials. Based on the sparse multiscale experimental data, the constitutive artificial neural networks for hyperelastic component phases containing composite interfaces are established by the particle swarm optimization algorithm. A microscopic finite element coupled constitutive artificial neural networks solver is introduced to obtain the homogenized stress-stretch relation of heterogeneous materials with different microstructures. And a dense stress-stretch relation dataset is generated by training a neural network through the FE results. Further, a generic invariant representation of strain energy function (SEF) is proposed with a parameter set being implicitly expressed by artificial neural networks (SANN), which describes the hyperelastic properties of heterogeneous materials with different microstructures. A convexity constraint is imposed on the SEF to ensure that the multiscale constitutive model is physically relevant
. 非均质超弹性材料由于其复杂多变的微观结构,其本构建模仍然是一个挑战。我们提出了一种多尺度数据驱动方法和分层学习策略,用于发现非均质超弹性材料的通用物理约束各向异性本构模型。基于稀疏多尺度实验数据,采用粒子群优化算法建立了含复合界面的超弹性组分相的本构人工神经网络。引入微观有限元耦合本构人工神经网络求解器,求解具有不同微观结构的非均质材料的均质应力-拉伸关系。利用有限元结果训练神经网络,生成密集的应力-拉伸关系数据集。在此基础上,提出了应变能函数(SEF)的通用不变表示,并利用人工神经网络(SANN)隐式表示参数集来描述具有不同微观结构的非均质材料的超弹性特性。为了保证多尺度本构模型的物理相关性,在SEF上施加了一个凸性约束
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引用次数: 0
A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids 直角网格上弯曲几何稳定欧拉方程的混合WENO格式
IF 3.7 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2023-06-01 DOI: 10.4208/cicp.oa-2022-0270
Yifei Wan null, Yinhua Xia
. For steady Euler equations in complex boundary domains, high-order shock-capturing schemes usually suffer not only from the difficulty of steady-state convergence but also from the problem of dealing with physical boundaries on Cartesian grids to achieve uniform high-order accuracy. In this paper, we utilize a fifth-order finite difference hybrid WENO scheme to simulate steady Euler equations, and the same fifth-order WENO extrapolation methods are developed to handle the curved boundary. The values of the ghost points outside the physical boundary can be obtained by applying WENO extrapolation near the boundary, involving normal derivatives acquired by the simplified inverse Lax-Wendroff procedure. Both equivalent expressions involving curvature and numerical differentiation are utilized to transform the tangential derivatives along the curved solid wall boundary. This hybrid WENO scheme is robust for steady-state convergence and maintains high-order accuracy in the smooth region even with the solid wall boundary condition. Besides, the essentially non-oscillation property is achieved. The numerical spectral analysis also shows that this hybrid WENO scheme has low dispersion and dissipation errors. Numerical examples are presented to validate the high-order accuracy and robust performance of the hybrid scheme for steady Euler equations in curved domains with Cartesian grids.
对于复杂边界域中的稳定欧拉方程,高阶激波捕获方案通常不仅存在稳态收敛的困难,而且还存在处理笛卡尔网格上的物理边界以实现一致高阶精度的问题。在本文中,我们利用五阶有限差分混合WENO格式来模拟稳定的欧拉方程,并开发了相同的五阶WENO外推方法来处理曲线边界。物理边界外重影点的值可以通过在边界附近应用WENO外推法来获得,该外推法涉及通过简化的Lax-Wendroff逆过程获得的法向导数。利用涉及曲率和数值微分的等效表达式来变换沿弯曲实体壁边界的切向导数。这种混合WENO格式对稳态收敛具有鲁棒性,即使在实体壁边界条件下也能在光滑区域保持高阶精度。此外,还实现了基本上无振荡的特性。数值谱分析还表明,该混合WENO格式具有较低的色散和耗散误差。通过算例验证了笛卡尔网格下曲线域稳定欧拉方程混合格式的高阶精度和鲁棒性。
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引用次数: 0
General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows 非定常稀疏气体流的一般综合迭代格式
IF 3.7 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2023-06-01 DOI: 10.4208/cicp.oa-2023-0068
Jianan Zeng, W. S. Null, L. Wu
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引用次数: 0
Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations 基于通量全球化的热旋转浅水方程平衡路径保守中心迎风格式
3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2023-06-01 DOI: 10.4208/cicp.oa-2023-0132
Yangyang Cao, Alexander Kurganov null, Yongle Liu
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引用次数: 0
A Normalizing Field Flow Induced Two-Stage Stochastic Homogenization Method for Random Composite Materials 随机复合材料的归一化场流诱导两阶段随机均匀化方法
3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2023-06-01 DOI: 10.4208/cicp.oa-2023-0007
Zihao Yang, Xintong Wang, Xiaofei Guan, Jizu Huang null, Xixin Wu
. The traditional stochastic homogenization method can obtain homogenized solutions of elliptic problems with stationary random coefficients. However, many random composite materials in scientific and engineering computing do not satisfy the stationary assumption. To overcome the difficulty, we propose a normalizing field flow induced two-stage stochastic homogenization method to efficiently solve the random elliptic problem with non-stationary coefficients. By applying the two-stage stochastic homogenization method, the original elliptic equation with random and fast oscillatory coefficients is approximated as an equivalent elliptic equation, where the equivalent coefficients are obtained by solving a set of cell problems. Without the stationary assumption, the number of cell problems is large and the corresponding computational cost is high. To improve the efficiency, we apply the normalizing field flow model to learn a reference Gaussian field for the random equivalent coefficients based on a small amount of data, which is obtained by solving the cell problems with the finite element method. Numerical results demonstrate that the newly proposed method is efficient and accurate in tackling high dimensional partial differential equations in composite materials with complex random microstructures
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引用次数: 0
A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems 界面问题的四阶无核边界积分法
IF 3.7 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2023-06-01 DOI: 10.4208/cicp.oa-2022-0236
Yaning Xie, Shuwang Li null, W. Ying
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引用次数: 0
Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations 有效尺度分辨模拟的隐式无正交直接重建方法
IF 3.7 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2023-06-01 DOI: 10.4208/cicp.oa-2022-0253
Hojun You, Juhyun Kim null, Chongam Kim
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引用次数: 0
A Well-Balanced Partial Relaxation Scheme for the Two-Dimensional Saint-Venant System 二维Saint-Venant系统的一个良好平衡的部分松弛方案
IF 3.7 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2023-06-01 DOI: 10.4208/cicp.oa-2022-0319
Xinjiang Chen null, A. Kurganov
{"title":"A Well-Balanced Partial Relaxation Scheme for the Two-Dimensional Saint-Venant System","authors":"Xinjiang Chen null, A. Kurganov","doi":"10.4208/cicp.oa-2022-0319","DOIUrl":"https://doi.org/10.4208/cicp.oa-2022-0319","url":null,"abstract":"","PeriodicalId":50661,"journal":{"name":"Communications in Computational Physics","volume":" ","pages":""},"PeriodicalIF":3.7,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48867170","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Numerical Solutions of the Electromagnetic Scattering by Overfilled Cavities with Inhomogeneous Anisotropic Media 非均匀各向异性介质过填充腔电磁散射的数值解
3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2023-06-01 DOI: 10.4208/cicp.oa-2022-0104
Meiling Zhao, Jiahui He null, Liqun Wang
. In this paper, the electromagnetic scattering from overfilled cavities with inhomogeneous anisotropic media is investigated. To solve the scattering problem, a Petrov-Galerkin finite element interface method on non-body-fitted grids is presented. We reduce the infinite domain of scattering to a bounded domain problem by introducing a transparent boundary condition. The level set function is used to capture complex boundary and interface geometry that is not aligned with the mesh. Non-body-fitted grids allow us to save computational costs during mesh generation and significantly reduce the amount of computer memory required. The solution is built by connecting two linear polynomials across the interfaces to satisfy the jump conditions. The proposed method can handle matrix coefficients produced by permittivity and permeability tensors of anisotropic media. The final linear system is sparse, making it more suitable for most iterative methods. Numerical experiments show that the proposed method has good convergence and realizability. Meanwhile, we discover that the absorbing properties of anisotropic media clearly and positively influence the reduction of radar cross section. It has also been demonstrated that the method can achieve second-order accuracy.
{"title":"Numerical Solutions of the Electromagnetic Scattering by Overfilled Cavities with Inhomogeneous Anisotropic Media","authors":"Meiling Zhao, Jiahui He null, Liqun Wang","doi":"10.4208/cicp.oa-2022-0104","DOIUrl":"https://doi.org/10.4208/cicp.oa-2022-0104","url":null,"abstract":". In this paper, the electromagnetic scattering from overfilled cavities with inhomogeneous anisotropic media is investigated. To solve the scattering problem, a Petrov-Galerkin finite element interface method on non-body-fitted grids is presented. We reduce the infinite domain of scattering to a bounded domain problem by introducing a transparent boundary condition. The level set function is used to capture complex boundary and interface geometry that is not aligned with the mesh. Non-body-fitted grids allow us to save computational costs during mesh generation and significantly reduce the amount of computer memory required. The solution is built by connecting two linear polynomials across the interfaces to satisfy the jump conditions. The proposed method can handle matrix coefficients produced by permittivity and permeability tensors of anisotropic media. The final linear system is sparse, making it more suitable for most iterative methods. Numerical experiments show that the proposed method has good convergence and realizability. Meanwhile, we discover that the absorbing properties of anisotropic media clearly and positively influence the reduction of radar cross section. It has also been demonstrated that the method can achieve second-order accuracy.","PeriodicalId":50661,"journal":{"name":"Communications in Computational Physics","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135144002","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","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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Communications in Computational Physics
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