Journal of Computational Physics最新文献_第10页

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized nonlinear conservation laws from sparse and noisy data ECLEIRS：基于稀疏和噪声数据的参数化非线性守恒律的精确守恒嵌入识别

IF 3.8 2区物理与天体物理

Journal of Computational Physics Pub Date : 2026-04-01 Epub Date: 2026-01-07 DOI: 10.1016/j.jcp.2026.114651

Aviral Prakash, Ben S. Southworth, Marc L. Klasky

{"title":"ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized nonlinear conservation laws from sparse and noisy data","authors":"Aviral Prakash, Ben S. Southworth, Marc L. Klasky","doi":"10.1016/j.jcp.2026.114651","DOIUrl":"10.1016/j.jcp.2026.114651","url":null,"abstract":"<div><div>Multi-query applications such as parameter estimation, uncertainty quantification and design optimization for parameterized partial differential equation (PDE) systems are expensive. While reduced/latent state dynamics approaches for parameterized PDEs offer a viable alternative, these approaches rely on high-quality data and struggle with highly sparse spatiotemporal noisy measurements typically obtained from experiments. Furthermore, there is no guarantee that these models satisfy governing physical conservation laws. In this article, we propose a reduced state dynamics approach, referred to as ECLEIRS, that embeds exact conservation in the solution and flux representation by utilizing a space-time divergence-free neural network formulation. We compare ECLEIRS with other reduced state dynamics approaches, those that do not enforce any physical constraints and those with physics-informed loss functions, for three shock-propagation problems: 1-D advection, 1-D Burgers and 2-D Euler equations. The numerical experiments conducted in this study demonstrate that ECLEIRS provides the most accurate prediction of dynamics for unseen parameters even in the presence of highly sparse and noisy data.</div></div>","PeriodicalId":352,"journal":{"name":"Journal of Computational Physics","volume":"550 ","pages":"Article 114651"},"PeriodicalIF":3.8,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145974389","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Improving Yee’s scheme with asymptotic dispersion correction for time-harmonic Maxwell’s equations 用渐近色散校正改进时谐Maxwell方程组的Yee格式

IF 3.8 2区物理与天体物理

Journal of Computational Physics Pub Date : 2026-04-01 Epub Date: 2025-12-21 DOI: 10.1016/j.jcp.2025.114602

Pierre-Henri Cocquet , Martin J. Gander

引用次数: 0

An optimal transport approach to the far-field reflector problem via Sobolev gradient descent 基于Sobolev梯度下降的远场反射问题的最优输运方法

IF 3.8 2区物理与天体物理

Journal of Computational Physics Pub Date : 2026-04-01 Epub Date: 2026-01-02 DOI: 10.1016/j.jcp.2025.114643

Yixuan Zhang , Gang Bao

引用次数: 0

Solving the inverse source problems for wave equation with final time measurements by a data driven approach 用数据驱动方法求解具有最终时间测量的波动方程逆源问题

IF 3.8 2区物理与天体物理

Journal of Computational Physics Pub Date : 2026-04-01 Epub Date: 2026-01-02 DOI: 10.1016/j.jcp.2025.114645

Qiling Gu , Wenlong Zhang , Zhidong Zhang

{"title":"Solving the inverse source problems for wave equation with final time measurements by a data driven approach","authors":"Qiling Gu , Wenlong Zhang , Zhidong Zhang","doi":"10.1016/j.jcp.2025.114645","DOIUrl":"10.1016/j.jcp.2025.114645","url":null,"abstract":"<div><div>This paper develops a discrete data-driven approach for solving the inverse source problem of the wave equation with final time measurements. Focusing on the <em>L</em><sup>2</sup>-Tikhonov regularization method, we analyze its convergence under two different noise models, using noisy discrete spatial observations. By exploiting the spectral decomposition of the forward operator and introducing a noise separation technique into the variational framework, we establish error bounds for the reconstructed solution <em>u</em> and the source term <em>f</em> without requiring classical source conditions. Moreover, an expected convergence rate for the source error is derived in a weaker topology. We also extend the analysis to the fully discrete case with finite element discretization, showing that the overall error depends only on the noise level, regularization parameter, time step size, and spatial mesh size. These estimates provide a basis for selecting the optimal regularization parameter in a data-driven manner, without a priori information. Numerical experiments validate the theoretical results and demonstrate the efficiency of the proposed algorithm.</div></div>","PeriodicalId":352,"journal":{"name":"Journal of Computational Physics","volume":"550 ","pages":"Article 114645"},"PeriodicalIF":3.8,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145903989","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

A variationally consistent and asymptotically convergent phase-field model for solute precipitation and dissolution 溶质析出和溶解的变分一致渐近收敛相场模型

IF 3.8 2区物理与天体物理

Journal of Computational Physics Pub Date : 2026-04-01 Epub Date: 2026-01-08 DOI: 10.1016/j.jcp.2026.114665

Andrea Lamperti, Laura De Lorenzis

引用次数: 0

High-order empirical interpolation methods for real-time solution of parametrized nonlinear PDEs 参数化非线性偏微分方程实时解的高阶经验插值方法

IF 3.8 2区物理与天体物理

Journal of Computational Physics Pub Date : 2026-04-01 Epub Date: 2026-01-06 DOI: 10.1016/j.jcp.2026.114664

Ngoc Cuong Nguyen

引用次数: 0

A sharp cartesian grid method for simulating flow past viscous droplets of arbitrary shape and viscosity 一种模拟流过任意形状和粘度的粘性液滴的锐笛卡尔网格方法

IF 3.8 2区物理与天体物理

Journal of Computational Physics Pub Date : 2026-04-01 Epub Date: 2025-12-27 DOI: 10.1016/j.jcp.2025.114632

Bo-Lin Wei , Jie Zhang , Ming-Jiu Ni

{"title":"A sharp cartesian grid method for simulating flow past viscous droplets of arbitrary shape and viscosity","authors":"Bo-Lin Wei , Jie Zhang , Ming-Jiu Ni","doi":"10.1016/j.jcp.2025.114632","DOIUrl":"10.1016/j.jcp.2025.114632","url":null,"abstract":"<div><div>We present a sharp Cartesian grid method for simulating flow past viscous droplets of arbitrary shape and viscosity. The method proposes a height function approach to compute the Weingarten matrix, enabling the accurate estimation of principal curvatures and directions on discretized curved interfaces of the droplet. These geometric quantities are then used to impose space- and time-dependent slip conditions at the interface. The incompressible Navier-Stokes equations are solved separately in the internal and external domains and coupled through the slip conditions using an embedded boundary method coupled with a synchronous iterative approach, ensuring a sharp representation of the interface. A key innovation of this approach is its ability to handle droplets with arbitrary geometries, including complex topologies imported directly from STL files, eliminating the need for analytical interface descriptions. By operating on a Cartesian grid, the method offers enhanced flexibility while preserving sharp interfacial dynamics. Numerical validation demonstrates the method’s accuracy and robustness. The height function approach is shown to reliably compute principal curvatures and directions, while simulations of flow past spheroidal droplets - spanning inviscid bubbles to rigid particles - exhibit excellent agreement with body-fitted benchmark solutions. Further, simulations of popcorn- and blob-shaped droplets highlight the method’s versatility in handling arbitrarily complex interfaces. This solver provides a powerful and flexible tool for investigating interfacial flow phenomena involving droplets with irregular geometries and viscosity variations.</div></div>","PeriodicalId":352,"journal":{"name":"Journal of Computational Physics","volume":"550 ","pages":"Article 114632"},"PeriodicalIF":3.8,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145903987","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

MBNO: Mamba-based neural operators for solving partial differential equations 用于求解偏微分方程的基于mamba的神经算子

IF 3.8 2区物理与天体物理

Journal of Computational Physics Pub Date : 2026-04-01 Epub Date: 2026-01-05 DOI: 10.1016/j.jcp.2025.114639

Namkyeong Cho , Junseung Ryu , Hyung Ju Hwang

引用次数: 0

Simultaneous reconstruction of the trajectories and strengths for moving acoustic point sources 运动声点源轨迹和强度的同步重建

IF 3.8 2区物理与天体物理

Journal of Computational Physics Pub Date : 2026-04-01 Epub Date: 2026-01-05 DOI: 10.1016/j.jcp.2025.114644

Keji Liu , Jiaru Wang

引用次数: 0

A constrained-transport embedded boundary method for compressible resistive magnetohydrodynamics 可压缩电阻磁流体力学的约束输运嵌入边界法

IF 3.8 2区物理与天体物理

Journal of Computational Physics Pub Date : 2026-04-01 Epub Date: 2025-12-31 DOI: 10.1016/j.jcp.2025.114641

Samuel W. Jones , Colin P. McNally , Meritt Reynolds

{"title":"A constrained-transport embedded boundary method for compressible resistive magnetohydrodynamics","authors":"Samuel W. Jones , Colin P. McNally , Meritt Reynolds","doi":"10.1016/j.jcp.2025.114641","DOIUrl":"10.1016/j.jcp.2025.114641","url":null,"abstract":"<div><div>Motivated by the increased interest in pulsed-power magneto-inertial fusion devices in recent years, we present a method for implementing an arbitrarily shaped embedded boundary on a Cartesian mesh while solving the equations of compressible resistive magnetohydrodynamics. The method is built around a finite volume formulation of the equations in which a Riemann solver is used to compute fluxes on the faces between grid cells, and a face-centered constrained transport formulation of the induction equation. The small time step problem associated with the cut cells is avoided by always computing fluxes on the faces and edges of the Cartesian mesh. We extend the method to model a moving interface between two materials with different properties using a ghost-fluid approach, and show some preliminary results including shock-wave-driven and magnetically-driven dynamical compressions of magnetohydrostatic equilibria. We present a thorough verification of the method and show that it converges at second order in the absence of discontinuities, and at first order with a discontinuity in material properties.</div></div>","PeriodicalId":352,"journal":{"name":"Journal of Computational Physics","volume":"550 ","pages":"Article 114641"},"PeriodicalIF":3.8,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145923632","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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