Computers & Fluids最新文献_第9页

Improved State Estimation for turbulent flows combining Ensemble Data Assimilation and Machine Learning 结合集成数据同化和机器学习的湍流状态估计改进

IF 2.5 3区工程技术

Computers & Fluids Pub Date : 2025-07-22 DOI: 10.1016/j.compfluid.2025.106757

Miguel M. Valero, Marcello Meldi

{"title":"Improved State Estimation for turbulent flows combining Ensemble Data Assimilation and Machine Learning","authors":"Miguel M. Valero, Marcello Meldi","doi":"10.1016/j.compfluid.2025.106757","DOIUrl":"10.1016/j.compfluid.2025.106757","url":null,"abstract":"<div><div>A novel strategy is proposed to improve the accuracy of state estimation and the reconstruction from low-fidelity models and sparse data from sensors. This strategy combines ensemble Data Assimilation (DA) and Machine Learning (ML) tools, exploiting their complementary features. ML techniques rely on the data produced by DA methods during analysis phases to train physics-informed corrective algorithms, which are then coupled with the low-fidelity models when data from sensors is unavailable. The methodology is validated via the analysis of the turbulent plane channel flow test case for <span><math><mrow><mi>R</mi><msub><mrow><mi>e</mi></mrow><mrow><mi>τ</mi></mrow></msub><mo>≈</mo><mn>550</mn></mrow></math></span>. Here, the low-fidelity model consists of coarse-grained simulations coupled with the Immersed Boundary Method (IBM), while observation is sampled by a highly refined body-fitted calculation. The analysis demonstrates the capabilities of the algorithm based on DA and ML to accurately predict the flow features with significantly reduced computational costs. This approach exhibits potential for future synergistic applications of DA and ML, leveraging the robustness and efficiency of ML models alongside the physical interpretability ensured by DA algorithms.</div></div>","PeriodicalId":287,"journal":{"name":"Computers & Fluids","volume":"300 ","pages":"Article 106757"},"PeriodicalIF":2.5,"publicationDate":"2025-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144686889","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Introduction of dispersive effects and treatment of horizontally moving pressurized regions in a semi-implicit fluid–structure interaction model 介绍了半隐式流固耦合模型中水平移动受压区域的色散效应和处理方法

IF 2.5 3区工程技术

Computers & Fluids Pub Date : 2025-07-21 DOI: 10.1016/j.compfluid.2025.106756

Cristian Brutto , Michael Dumbser , Martin Parisot , Mario Ricchiuto

{"title":"Introduction of dispersive effects and treatment of horizontally moving pressurized regions in a semi-implicit fluid–structure interaction model","authors":"Cristian Brutto , Michael Dumbser , Martin Parisot , Mario Ricchiuto","doi":"10.1016/j.compfluid.2025.106756","DOIUrl":"10.1016/j.compfluid.2025.106756","url":null,"abstract":"<div><div>In geophysical fluid structure interaction problems with moving free surface, large relative motions between the fluid and solid domains generate not only physical waves on the free surface, but may also trigger numerical instabilities. This is also the case in models for moving floating structures above water. Since the governing equations change type from hyperbolic below the free surface to elliptic below the moving floating object within the cells of the computational domain, the horizontal motion may exhibit a numerical instability that is not observed solely with the vertical heave motion. When a ship enters a new cell, the pressure at the bow increases and decreases sharply, leading to oscillations that can create an unphysical void below the vessel. After examining the origin of the problem, several measures were taken at the discrete level to reduce these spurious oscillations. All of these modifications were effective in controlling the oscillations, making numerical simulations with horizontal motion of moving floating objects more robust, stable and accurate.</div><div>To enhance the range of application of the model, we also include some additional weakly dispersive terms. The same study is then performed in presence of these non-hydrostatic effects, showing a reliable and robust prediction of the interaction of moving bodies interacting with hydrostatic and non-hydrostatic waves.</div></div>","PeriodicalId":287,"journal":{"name":"Computers & Fluids","volume":"300 ","pages":"Article 106756"},"PeriodicalIF":2.5,"publicationDate":"2025-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144695182","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Direct simulation of two-dimensional flows by pseudo-spectral method: Special features and validations by Taylor–Green vortex problem 伪谱法直接模拟二维流动：泰勒-格林涡问题的特点和验证

IF 2.5 3区工程技术

Computers & Fluids Pub Date : 2025-07-19 DOI: 10.1016/j.compfluid.2025.106754

V.K. Suman , Prasannabalaji Sundaram , A. Sarkar , Tapan K. Sengupta

{"title":"Direct simulation of two-dimensional flows by pseudo-spectral method: Special features and validations by Taylor–Green vortex problem","authors":"V.K. Suman , Prasannabalaji Sundaram , A. Sarkar , Tapan K. Sengupta","doi":"10.1016/j.compfluid.2025.106754","DOIUrl":"10.1016/j.compfluid.2025.106754","url":null,"abstract":"<div><div>A comprehensive assessment is reported for the Fourier pseudo-spectral methods employing second and fourth order Runge–Kutta, RK2 and RK4 respectively, methods for time integration using global spectral analysis (GSA) in a two-dimensional (2D) framework. These methods are often used for direct numerical simulation (DNS) of homogeneous isotropic turbulence (HIT) problem to understand turbulence generation. Recent analyses for the linear one-dimensional (1D) convection and convection–diffusion equations using GSA revealed instability problems for RK2 time integration. This is conclusively demonstrated in the present paper using GSA for a model 2D linear convection–diffusion equation employing RK2 and RK4 time integration strategies for the Fourier pseudo-spectral methods. GSA confirms issues for RK2 time integration, while significantly superior accuracy is recorded for the RK4 method for DNS of transitional and turbulent flows. Furthermore, we demonstrate excellent dispersion error control and the absence of upstream propagating <span><math><mi>q</mi></math></span>-waves for the first time, a property of the adopted pseudo-spectral methods. Finally, a long time integration of Navier–Stokes equations for the 2D Taylor–Green vortex (TGV) problem using RK4 scheme is presented highlighting the importance of GSA by comparing the long term dynamics of (4 X 4)- and (8 X 8)- initial configuration of cells. Despite the complex intermediate dynamics following a primary instability, a unique, universal equilibrium (2 X 1)-cell configuration is eventually established. This is consistent with the enstrophy transport equation for 2D flows.</div></div>","PeriodicalId":287,"journal":{"name":"Computers & Fluids","volume":"300 ","pages":"Article 106754"},"PeriodicalIF":2.5,"publicationDate":"2025-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144679851","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 Large Eddy Simulation of airflow inside a full-scale car cabin 全尺寸汽车舱内气流的大涡模拟

IF 2.5 3区工程技术

Computers & Fluids Pub Date : 2025-07-19 DOI: 10.1016/j.compfluid.2025.106755

Mokhtar Djeddou , Anne Tanière , Georges Fokoua , Amine Mehel , Patrick Chevrier

{"title":"A Large Eddy Simulation of airflow inside a full-scale car cabin","authors":"Mokhtar Djeddou , Anne Tanière , Georges Fokoua , Amine Mehel , Patrick Chevrier","doi":"10.1016/j.compfluid.2025.106755","DOIUrl":"10.1016/j.compfluid.2025.106755","url":null,"abstract":"<div><div>This study investigates the application of Large Eddy Simulation (LES) to model airflow within a full-scale car cabin at a Reynolds number of <span><math><mrow><mi>R</mi><mi>e</mi><mo>=</mo><mn>2</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>4</mn></mrow></msup></mrow></math></span>. To assess the performance of Reynolds-Averaged Navier–Stokes (RANS) methods, results from the shear stress transport (SST) <span><math><mi>k</mi></math></span>-<span><math><mi>ω</mi></math></span> model are compared. The mean flow topology was analyzed in three longitudinal planes, revealing similar flow structures in both approaches, characterized by turbulent jets emerging from dashboard air vents and forming large-scale recirculations in the rear compartment. Predictions of mean velocity and turbulence intensity showed globally reasonable agreement with experimental measurements. However, LES tended to overestimate turbulence intensity, particularly in jet-dominated regions, while the RANS model provided slightly more consistent levels, albeit with reduced fidelity in capturing fine-scale structures. Further analysis using the <span><math><mi>Q</mi></math></span>-criterion revealed well-organized vortex structures in the LES results, especially within the central jet and trunk zones. In addition, the Anisotropy Invariant Map (AIM) analysis showed a fundamental difference in turbulence structure, as LES captured highly anisotropic behavior, while the RANS <em>SST</em> <span><math><mi>k</mi></math></span>-<span><math><mi>ω</mi></math></span> model predominantly returned quasi-isotropic turbulence.</div></div>","PeriodicalId":287,"journal":{"name":"Computers & Fluids","volume":"300 ","pages":"Article 106755"},"PeriodicalIF":2.5,"publicationDate":"2025-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144703706","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Development and application of an implicit density-based solver for chemically reacting flows in OpenFOAM 基于隐式密度的OpenFOAM化学反应流求解器的开发与应用

IF 2.5 3区工程技术

Computers & Fluids Pub Date : 2025-07-19 DOI: 10.1016/j.compfluid.2025.106766

Marco Castaldi , Mike Bonheure , Frank Eulitz , Kevin M. Van Geem , Tom Verstraete

{"title":"Development and application of an implicit density-based solver for chemically reacting flows in OpenFOAM","authors":"Marco Castaldi , Mike Bonheure , Frank Eulitz , Kevin M. Van Geem , Tom Verstraete","doi":"10.1016/j.compfluid.2025.106766","DOIUrl":"10.1016/j.compfluid.2025.106766","url":null,"abstract":"<div><div>A novel solver for chemically reacting flows, named <em>lusgsReactingFoam</em>, has been developed within the open-source framework OpenFOAM. This solver employs an implicit finite volume lower-upper symmetric Gauss-Seidel (LU-SGS) method to solve the fully coupled Navier-Stokes and species transport equations efficiently. It is particularly well-suited for high-speed reacting flows, as encountered in shock tubes, vehicle re-entry, detonation, supersonic combustion, and supersonic steam cracking.</div><div>Moreover, the solver is even capable of handling reacting flows in subsonic compressible and incompressible regimes, making it a highly versatile tool capable of managing large variations in velocity and temperature within the same fluid domain.</div><div>The solver's performance is validated through several test cases relevant to steam cracking, ranging from conventional bare reactors to transonic and supersonic flows, including shock tubes. The results demonstrate that the new solver overcomes challenges where standard OpenFOAM reactive solvers fall short. <em>lusgsReactingFoam</em> demonstrates greater versatility compared to the reactive solvers within the ANSYS Fluent suite, which are optimized for either subsonic/transonic flows (coupled pressure-based solver) or supersonic flows (density-based solver). Its strong agreement with one-dimensional simulations and experimental data further highlights its reliability and efficiency in modeling chemically reacting flows.</div><div><em>lusgsReactingFoam</em> marks a major breakthrough in the development of open-source computational tools within OpenFOAM. It enables the simulation of subsonic, transonic, and supersonic reactive flows for applications targeted to the development and design of turbomachinery and propulsion systems, supersonic hydrogen combustion, pressure gain combustion and supersonic steam cracking processes.</div></div>","PeriodicalId":287,"journal":{"name":"Computers & Fluids","volume":"300 ","pages":"Article 106766"},"PeriodicalIF":2.5,"publicationDate":"2025-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144703707","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 novel system for generating body-fitted and isotropic point cloud for meshfree methods applied to complex geometries 一个新的系统生成体拟合和各向同性点云的无网格方法应用于复杂几何

IF 2.5 3区工程技术

Computers & Fluids Pub Date : 2025-07-19 DOI: 10.1016/j.compfluid.2025.106740

Fan Zhang , Xiaoxing Liu , Shuai Zhang , Jifa Zhang , Yao Zheng

{"title":"A novel system for generating body-fitted and isotropic point cloud for meshfree methods applied to complex geometries","authors":"Fan Zhang , Xiaoxing Liu , Shuai Zhang , Jifa Zhang , Yao Zheng","doi":"10.1016/j.compfluid.2025.106740","DOIUrl":"10.1016/j.compfluid.2025.106740","url":null,"abstract":"<div><div>Meshfree methods require a pre-processed particle distribution that is suitable for the body to obtain high-precision solutions. Currently, there remains a deficiency in point distribution approaches that can simultaneously satisfy the isotropic point distribution requirements of body-fitted uniform distributions while also addressing the computational speed, scale, and robustness demands of point distribution calculations. In this paper, we propose a novel system for generating body-fitted and isotropic point cloud for meshfree methods applied to complex geometries using High-Performance Computing (HPC). Modular design is applied to this system. Firstly, this system employs an external wall particle distribution module designed to facilitate uniform point distribution of wall particles along with boundary condition marking for various surfaces. Subsequently, an internal fluid particle filling module is utilized for large-scale internal fluid particle filling at variable filling spacings with enhanced robustness. Finally, the body-fitted adjustment of the internal fluid particle module is implemented using an improved Discrete Element Method (DEM) proposed in this paper to refine the internal fluid particle arrangement and ensure compliance with isotropic body-fitting distributions. During computations, this system employs CUDA and MPI technologies to enable accelerated computing. Numerical experiments have conclusively shown that our system is adept at generating a robust and rational isotropic point distribution for complex geometries. This capability satisfies the pre-processing demand for meshfree methods, ensuring both rapid computation speed and enhanced robustness for large-scale point cloud generation.</div></div>","PeriodicalId":287,"journal":{"name":"Computers & Fluids","volume":"300 ","pages":"Article 106740"},"PeriodicalIF":2.5,"publicationDate":"2025-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144686890","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

High-order flux splitting schemes for the Euler equations of gas dynamics 气体动力学欧拉方程的高阶通量分裂格式

IF 2.5 3区工程技术

Computers & Fluids Pub Date : 2025-07-15 DOI: 10.1016/j.compfluid.2025.106738

Shaoshuai Chu , Michael Herty , Eleuterio F. Toro

{"title":"High-order flux splitting schemes for the Euler equations of gas dynamics","authors":"Shaoshuai Chu , Michael Herty , Eleuterio F. Toro","doi":"10.1016/j.compfluid.2025.106738","DOIUrl":"10.1016/j.compfluid.2025.106738","url":null,"abstract":"<div><div>We develop high-order flux splitting schemes for the one- and two-dimensional Euler equations of gas dynamics. The proposed schemes are high-order extensions of the existing first-order flux splitting schemes introduced in Toro and Vázquez-Cendón (2012) where the Euler equations of gas dynamics are split into two subsystems: the advection and pressure systems. In this paper, we formulate the TV splitting within the semi-discrete framework to extend it to higher orders of accuracy for the first time. The second-order extension is obtained by using piecewise linear interpolant to reconstruct the one-sided point values of the unknowns. The third- and fifth-order schemes are developed using the finite-difference alternative weighted essentially non-oscillatory (A-WENO) framework, which is particularly effective in handling multidimensional problems and provides a more straightforward approach to constructing higher-order WENO schemes. These extensions significantly improve the resolution of discontinuities and the accuracy of numerical solutions, as demonstrated by a series of numerical experiments of both the one- and two-dimensional Euler equations of gas dynamics.</div></div>","PeriodicalId":287,"journal":{"name":"Computers & Fluids","volume":"300 ","pages":"Article 106738"},"PeriodicalIF":2.5,"publicationDate":"2025-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144653436","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Automatic multi-objective optimization of a centrifugal blower using the adjoint method 用伴随法进行离心鼓风机多目标自动优化

IF 2.5 3区工程技术

Computers & Fluids Pub Date : 2025-07-14 DOI: 10.1016/j.compfluid.2025.106737

Roham Lavimi , Alla Eddine Benchikh Le Hocine , Raymond Panneton , Bernard Marcos , Sébastien Poncet

{"title":"Automatic multi-objective optimization of a centrifugal blower using the adjoint method","authors":"Roham Lavimi , Alla Eddine Benchikh Le Hocine , Raymond Panneton , Bernard Marcos , Sébastien Poncet","doi":"10.1016/j.compfluid.2025.106737","DOIUrl":"10.1016/j.compfluid.2025.106737","url":null,"abstract":"<div><div>This study presents an automatic multi-objective optimization framework based on a continuous adjoint method to optimize fans and blowers. The framework is built by connecting open-source tools, such as Salome (CAD and mesh generators) and OpenFOAM v2206 (CFD solver and optimizer) using several Python scripts. The sensitivity is calculated using a fully turbulent continuous adjoint solver, adjointOptimisationFoam, in OpenFOAM v2206. Two new objective functions, including aeraulic and mechanical powers, are integrated into the adjoint solver. Then, a forward-curved centrifugal blower (FCCB) is optimized to confirm the generated framework’s capability. The aim is to maximize aeraulic power while minimizing the mechanical power of the FCCB, resulting in a total efficiency improvement. Reynolds-Averaged Navier–Stokes (RANS) equations closed with the k-<span><math><mi>ω</mi></math></span> SST model are used to simulate the turbulent flow in the centrifugal blower. After four optimization cycles, mechanical power decreased by 0.71% and aeraulic power increased by 0.73%, resulting in a 1.5% improvement in total efficiency.</div></div>","PeriodicalId":287,"journal":{"name":"Computers & Fluids","volume":"300 ","pages":"Article 106737"},"PeriodicalIF":2.5,"publicationDate":"2025-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144634036","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Poisson solvers for strongly stratified turbulent flows 强分层湍流的泊松解

IF 2.5 3区工程技术

Computers & Fluids Pub Date : 2025-07-14 DOI: 10.1016/j.compfluid.2025.106741

Antoine Briard , Benoît-Joseph Gréa , Ludomir Oteski , Olivier Soulard , Jérôme Griffond , Sébastien Thévenin , Luminita Danaila

{"title":"Poisson solvers for strongly stratified turbulent flows","authors":"Antoine Briard , Benoît-Joseph Gréa , Ludomir Oteski , Olivier Soulard , Jérôme Griffond , Sébastien Thévenin , Luminita Danaila","doi":"10.1016/j.compfluid.2025.106741","DOIUrl":"10.1016/j.compfluid.2025.106741","url":null,"abstract":"<div><div>Turbulent mixing occurs in numerous applications and natural flows between fluids of very different density contrasts where the Boussinesq approximation no longer applies. In the low Mach number limit of arbitrary large density contrasts, called the Variable-Density approximation, the Poisson solver that determines the pressure field can be numerically very costly. Here we investigate the performances of two solvers: the Generalized Minimal Residual, GMRES, and the Bi-Conjugate Gradients STAB at order <span><math><mi>l</mi></math></span>, BICGS(<span><math><mi>l</mi></math></span>). Comparisons are made in two different frameworks: the Unstably Stratified Homogeneous Turbulence (USHT) and the Rayleigh–Taylor instability (RTI). Direct Numerical Simulations with <span><math><mrow><mn>102</mn><msup><mrow><mn>4</mn></mrow><mrow><mn>3</mn></mrow></msup></mrow></math></span> up to <span><math><mrow><mn>204</mn><msup><mrow><mn>8</mn></mrow><mrow><mn>3</mn></mrow></msup></mrow></math></span> points are performed. The USHT configuration serves as a challenging test lab to set the relevant optimizations for both the GMRES and BICGS(<span><math><mi>l</mi></math></span>) solvers before addressing the more realistic RTI. It appears that GMRES provides the smallest residual norm, while the BICGS(2) algorithm can be up to 25% faster and yields a comparable residual norm. Such performances are reached thanks to original optimizations of the BICGS(<span><math><mi>l</mi></math></span>) algorithm. In addition, we developed a fast Poisson solver that significantly speeds up the computations, at the expense of only a moderate loss of accuracy.</div></div>","PeriodicalId":287,"journal":{"name":"Computers & Fluids","volume":"300 ","pages":"Article 106741"},"PeriodicalIF":2.5,"publicationDate":"2025-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144686888","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 time-dependent boundary-integral algorithm for nonlinear interfacial waves 非线性界面波的时变边界积分算法

IF 2.5 3区工程技术

Computers & Fluids Pub Date : 2025-07-10 DOI: 10.1016/j.compfluid.2025.106739

Xin Guan , Jean-Marc Vanden-Broeck

引用次数: 0