International Journal for Numerical Methods in Fluids最新文献

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A Practical Approach to Time-Varying Inflow Simulation and the Influence on Intermittent Airflow Within Urban Street Canyons 城市街道峡谷内时变入流模拟及其对间歇气流影响的实用方法
IF 1.7 4区 工程技术
International Journal for Numerical Methods in Fluids Pub Date : 2025-01-07 DOI: 10.1002/fld.5362
Yunwei Zhang, Lushuang Zhao, Lizhi Jing, Haiyan Miao, Junwei Su, Zhaolin Gu
{"title":"A Practical Approach to Time-Varying Inflow Simulation and the Influence on Intermittent Airflow Within Urban Street Canyons","authors":"Yunwei Zhang,&nbsp;Lushuang Zhao,&nbsp;Lizhi Jing,&nbsp;Haiyan Miao,&nbsp;Junwei Su,&nbsp;Zhaolin Gu","doi":"10.1002/fld.5362","DOIUrl":"https://doi.org/10.1002/fld.5362","url":null,"abstract":"<div>\u0000 \u0000 <p>Based on large eddy simulations, intermittent airflow within an urban street canyon was simulated. The practice of time-varying inflow conditions (TVIC) required a time series of inflow wind velocity, which could be collected on a varying curve of the moving averaged measured data. The influences of the time interval of the wind series and the varying trend (or molded line) between adjacent data on airflow within the street canyon were analyzed. The results showed that TVIC would result in larger average wind velocity and turbulence intensity than that simulated under steady inflow conditions (SIC). The simulated total vertical air exchanges under TVIC would be one order of magnitude higher than that simulated under SIC. Airflow characteristics within street canyons were influenced by the varying trends and the time intervals of the time-series inflow wind. Average vertical wind velocity and turbulent kinetic energy (TKE) simulated under the stepped varying trend was higher than that under the jagged varying trend. The shorter the time interval, the larger the TKE within the street canyon. Vertical air exchanges induced by turbulence (ACH′) at the roof level simulated under the stepped molded lines were twice that of the jagged molded line. Under the time interval of 30 s, the ACH′ was significantly increased, which was 2.558 times that simulated with a time interval of 1 min. Thus, the suggested practical approach for time-varying inflow simulations is to obtain time-series wind data with a time interval of 1 min or less, and the linearly molded line would be critical; for larger time intervals, reasonable molded lines would be required.</p>\u0000 </div>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"97 5","pages":"676-691"},"PeriodicalIF":1.7,"publicationDate":"2025-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143786797","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
High-Order Alternative Formulation of Weighted Essentially Non-Oscillatory Scheme With Minimized Dispersion and Controllable Dissipation for Compressible Flows 可压缩流动的最小色散可控耗散加权基本非振荡格式的高阶替代公式
IF 1.7 4区 工程技术
International Journal for Numerical Methods in Fluids Pub Date : 2025-01-02 DOI: 10.1002/fld.5364
Wei-Gang Zeng, Lu Liu, Li-Jin Zeng, Jian-Hua Pan, Jun-Ping Yin, Yu-Xin Ren
{"title":"High-Order Alternative Formulation of Weighted Essentially Non-Oscillatory Scheme With Minimized Dispersion and Controllable Dissipation for Compressible Flows","authors":"Wei-Gang Zeng,&nbsp;Lu Liu,&nbsp;Li-Jin Zeng,&nbsp;Jian-Hua Pan,&nbsp;Jun-Ping Yin,&nbsp;Yu-Xin Ren","doi":"10.1002/fld.5364","DOIUrl":"https://doi.org/10.1002/fld.5364","url":null,"abstract":"<div>\u0000 \u0000 <p>Following the proposition of the original AWENO (Alternative Formulation of Weighted Essentially Non-Oscillatory) FD (Finite Difference) scheme, we construct the new AMDCD FD scheme, an Alternative formulation of the linear FD scheme with Minimized Dispersion and Controllable Dissipation, in this article. Spectral analysis shows that the proposed AMDCD FD scheme can be more efficient in resolving smooth solutions due to the flexibility in controlling dissipation. To efficiently solve compressible flows with discontinuities, we further combined the proposed AMDCD FD scheme with the original AWENO FD scheme using a hybrid interpolation scheme, in which the optimized linear MDCD (Minimized Dispersion and Controllable Dissipation) interpolation scheme would be switched to the nonlinear WENO (Weighted Essentially Non-Oscillatory) type interpolation scheme gradually as the flow structures are in transition from smooth region towards the vicinity of discontinuities. Therefore, the resulting hybrid AWENO-AMDCD FD scheme is suitable for solving compressible flows with broad-scale flow structures and/or shock waves. A series of one-, two-, and three-dimensional compressible flow problems are numerically tested to demonstrate the accuracy, superior resolution, as well as the robustness of the proposed hybrid AWENO-AMDCD FD scheme.</p>\u0000 </div>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"97 4","pages":"646-664"},"PeriodicalIF":1.7,"publicationDate":"2025-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143533437","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
Solutions to Two- and Three-Dimensional Incompressible Flow Fields Leveraging a Physics-Informed Deep Learning Framework and Kolmogorov–Arnold Networks 利用物理信息深度学习框架和Kolmogorov-Arnold网络解决二维和三维不可压缩流场
IF 1.7 4区 工程技术
International Journal for Numerical Methods in Fluids Pub Date : 2025-01-02 DOI: 10.1002/fld.5374
Quan Jiang, Zhiyong Gou
{"title":"Solutions to Two- and Three-Dimensional Incompressible Flow Fields Leveraging a Physics-Informed Deep Learning Framework and Kolmogorov–Arnold Networks","authors":"Quan Jiang,&nbsp;Zhiyong Gou","doi":"10.1002/fld.5374","DOIUrl":"https://doi.org/10.1002/fld.5374","url":null,"abstract":"<div>\u0000 \u0000 <p>Physics-informed neural network (PINN) has become a potential technology for fluid dynamics simulations, but traditional PINN has low accuracy in simulating incompressible flows, and these problems can lead to PINN not converging. This paper proposes a physics-informed neural network method (KA-PINN) based on the Kolmogorov–Arnold Neural (KAN) network structure. It is used to solve two-dimensional and three-dimensional incompressible fluid dynamics problems. The flow field is reconstructed and predicted for the two-dimensional Kovasznay flow and the three-dimensional Beltrami flow. The results show that the prediction accuracy of KA-PINN is improved by about 5 times in two dimensions and 2 times in three dimensions compared with the fully connected network structure of PINN. Meanwhile, the number of network parameters is reduced by 8 to 10 times. The research results not only verify the application potential of KA-PINN in fluid dynamics simulations, but also demonstrate the feasibility of KAN network structure in improving the ability of PINN to solve and predict flow fields. This study can reduce the dependence on traditional numerical methods for solving fluid dynamics problems.</p>\u0000 </div>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"97 4","pages":"665-673"},"PeriodicalIF":1.7,"publicationDate":"2025-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143533951","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 Augmented Lagrangian Trust-Region Method With Inexact Gradient Evaluations to Accelerate Constrained Optimization Problems Using Model Hyperreduction 带非精确梯度的增广拉格朗日可信域方法加速模型超约化约束优化问题
IF 1.7 4区 工程技术
International Journal for Numerical Methods in Fluids Pub Date : 2024-12-30 DOI: 10.1002/fld.5363
Tianshu Wen, Matthew J. Zahr
{"title":"An Augmented Lagrangian Trust-Region Method With Inexact Gradient Evaluations to Accelerate Constrained Optimization Problems Using Model Hyperreduction","authors":"Tianshu Wen,&nbsp;Matthew J. Zahr","doi":"10.1002/fld.5363","DOIUrl":"https://doi.org/10.1002/fld.5363","url":null,"abstract":"<div>\u0000 \u0000 <p>We present an augmented Lagrangian trust-region method to efficiently solve constrained optimization problems governed by large-scale nonlinear systems with application to partial differential equation-constrained optimization. At each major augmented Lagrangian iteration, the expensive optimization subproblem involving the full nonlinear system is replaced by an empirical quadrature-based hyperreduced model constructed on-the-fly. To ensure convergence of these inexact augmented Lagrangian subproblems, we develop a bound-constrained trust-region method that allows for inexact gradient evaluations, and specialize it to our specific setting that leverages hyperreduced models. This approach circumvents a traditional training phase because the models are built on-the-fly in accordance with the requirements of the trust-region convergence theory. Two numerical experiments (constrained aerodynamic shape design) demonstrate the convergence and efficiency of the proposed work. A speedup of <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mn>12</mn>\u0000 <mo>.</mo>\u0000 <mn>7</mn>\u0000 <mo>×</mo>\u0000 </mrow>\u0000 <annotation>$$ 12.7times $$</annotation>\u0000 </semantics></math> (for all computational costs, even costs traditionally considered “offline” such as snapshot collection and data compression) relative to a standard optimization approach that does not leverage model reduction is shown.</p>\u0000 </div>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"97 4","pages":"621-645"},"PeriodicalIF":1.7,"publicationDate":"2024-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143536087","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 High-Order Finite Element Method for Solving Two-Dimensional Fractional Rayleigh–Stokes Problem for a Heated Generalized Second Grade Fluid 求解二阶加热广义二阶流体二维分数阶Rayleigh-Stokes问题的高阶有限元方法
IF 1.7 4区 工程技术
International Journal for Numerical Methods in Fluids Pub Date : 2024-12-30 DOI: 10.1002/fld.5361
Eric Ngondiep
{"title":"A High-Order Finite Element Method for Solving Two-Dimensional Fractional Rayleigh–Stokes Problem for a Heated Generalized Second Grade Fluid","authors":"Eric Ngondiep","doi":"10.1002/fld.5361","DOIUrl":"https://doi.org/10.1002/fld.5361","url":null,"abstract":"<div>\u0000 \u0000 <p>This article develops a high-order finite element scheme in an approximate solution of the two-dimensional Rayleigh–Stokes problem for a heated generalized second-grade fluid with fractional derivatives. The constructed approach consists of approximating the exact solution by interpolation in time while the finite element technique is used in the approximation of the spatial derivatives. This combination is simple and easy to implement. The stability and error estimates of the developed strategy are deeply analyzed in the <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msup>\u0000 <mrow>\u0000 <mi>L</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>∞</mi>\u0000 </mrow>\u0000 </msup>\u0000 </mrow>\u0000 <annotation>$$ {L}^{infty } $$</annotation>\u0000 </semantics></math>-norm. The theoretical studies suggest that the proposed method is unconditionally stable, convergent with order <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>O</mi>\u0000 <mo>(</mo>\u0000 <msup>\u0000 <mrow>\u0000 <mi>σ</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mn>1</mn>\u0000 <mo>+</mo>\u0000 <mi>γ</mi>\u0000 </mrow>\u0000 </msup>\u0000 <mo>+</mo>\u0000 <msup>\u0000 <mrow>\u0000 <mi>h</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>p</mi>\u0000 </mrow>\u0000 </msup>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$$ Oleft({sigma}^{1+gamma }+{h}^pright) $$</annotation>\u0000 </semantics></math>, faster, and more efficient than a broad range of numerical schemes discussed in the literature for the considered time fractional partial differential equation. Some numerical examples are carried out to show the applicability and viability of the new algorithm.</p>\u0000 </div>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"97 4","pages":"605-620"},"PeriodicalIF":1.7,"publicationDate":"2024-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143536086","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
Monolithic Newton-Multigrid Finite Element Methods for the Simulation of Thixoviscoplastic Flows 触粘塑性流动模拟的单片牛顿-多网格有限元方法
IF 1.7 4区 工程技术
International Journal for Numerical Methods in Fluids Pub Date : 2024-12-28 DOI: 10.1002/fld.5360
Naheed Begum, Abderrahim Ouazzi, Stefan Turek
{"title":"Monolithic Newton-Multigrid Finite Element Methods for the Simulation of Thixoviscoplastic Flows","authors":"Naheed Begum,&nbsp;Abderrahim Ouazzi,&nbsp;Stefan Turek","doi":"10.1002/fld.5360","DOIUrl":"https://doi.org/10.1002/fld.5360","url":null,"abstract":"<p>In this paper, we shall be concerned with the development, application, and numerical analysis of the monolithic Newton-Multigrid finite element method (FEM) to simulate thixoviscoplastic (TVP) flows. We demonstrate the importance of robustness and efficiency of Newton-Multigrid FEM solver for obtaining accurate solutions. To put our work in proper perspective w.r.t. the delicate challenge of obtaining accurate numerical solutions for TVP flow problems, we content our investigation to TVP quasi-Newtonian modeling approach with an extensive analysis on lid-driven cavity flows, and expose the impact of thixotropic scale in 4:1 contraction configuration application. fldauth.cls class file for setting papers for the <i>International Journal for Numerical Methods in Fluids</i>. Copyright 2010 John Wiley &amp; Sons Ltd.</p><p>In this paper, we shall be concerned with the development, application, and numerical analysis of the monolithic Newton-Multigrid finite element method (FEM) to simulate thixoviscoplastic (TVP) flows. We demonstrate the importance of robustness and efficiency of Newton-Multigrid FEM solver for obtaining accurate solutions. To put our work in proper perspective w.r.t. the delicate challenge of obtaining accurate numerical solutions for TVP flow problems, we restrict our investigation to TVP quasi-Newtonian modeling approach and lid-driven cavity flows.</p>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"97 4","pages":"565-604"},"PeriodicalIF":1.7,"publicationDate":"2024-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/fld.5360","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143536099","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An Improved Single-Layer Smoothed Particle Hydrodynamics Model for Water–Soil Two-Phase Flow 一种改进的单层光滑颗粒水-土两相流流体力学模型
IF 1.7 4区 工程技术
International Journal for Numerical Methods in Fluids Pub Date : 2024-12-26 DOI: 10.1002/fld.5371
Zi-Yang Zhan, Zi-Xin Zhou, Zhen Chen
{"title":"An Improved Single-Layer Smoothed Particle Hydrodynamics Model for Water–Soil Two-Phase Flow","authors":"Zi-Yang Zhan,&nbsp;Zi-Xin Zhou,&nbsp;Zhen Chen","doi":"10.1002/fld.5371","DOIUrl":"https://doi.org/10.1002/fld.5371","url":null,"abstract":"<div>\u0000 \u0000 <p>In coastal and offshore engineering, the intense water–soil motion poses significant challenges to the safety of buildings and structures. The smoothed particle hydrodynamics (SPH) method, as a mesh-free Lagrangian solver, has considerable advantages in the numerical resolution of such problems. SPH models for the water–soil two-phase flow can be categorized into the multilayer type and the single-layer type. Although the single-layer model envisions a simpler algorithm and higher computational efficiency, its accuracy, stability, and recovery of interfacial details are far from satisfactory. In the present work, an improved single-layer model is established to alleviate these limitations. First, the soakage function, which takes effect near the phase interface, is introduced to characterize the two-phase coupling status. Additionally, the stress diffusion term and a modified density diffusion term applicable in density discontinuity scenario are introduced to ease the numerical oscillation. Finally, to remove the unphysical voids in the interfacial region, the particle shifting technique with special treatment tailored for free-surface particles is implemented. Validations of the proposed model are carried out by a number of numerical tests, including the erodible dam-break problem, the wall-jet scouring, the flushing case, and the water jet excavation. Appealing agreements with either experimental data or published numerical results have been achieved, which verifies the accuracy, stability, and robustness of the proposed model for water–soil two-phase flows.</p>\u0000 </div>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"97 4","pages":"546-564"},"PeriodicalIF":1.7,"publicationDate":"2024-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143533372","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 Non-Dissipative, Energy-Conserving, Arbitrary High-Order Numerical Method and Its Efficient Implementation for Incompressible Flow Simulation in Complex Geometries 一种非耗散、节能、任意高阶数值方法及其在复杂几何中不可压缩流动模拟的有效实现
IF 1.7 4区 工程技术
International Journal for Numerical Methods in Fluids Pub Date : 2024-12-26 DOI: 10.1002/fld.5369
Sreevatsa Anantharamu, Krishnan Mahesh
{"title":"A Non-Dissipative, Energy-Conserving, Arbitrary High-Order Numerical Method and Its Efficient Implementation for Incompressible Flow Simulation in Complex Geometries","authors":"Sreevatsa Anantharamu,&nbsp;Krishnan Mahesh","doi":"10.1002/fld.5369","DOIUrl":"https://doi.org/10.1002/fld.5369","url":null,"abstract":"<p>In the inviscid limit, the energy of a velocity field satisfying the incompressible Navier–Stokes equations is conserved. Non-dissipative numerical methods that discretely mimic this energy conservation feature have been demonstrated in the literature to be extremely valuable for robust and accurate large-eddy simulations of high Reynolds number incompressible turbulent flows. For complex geometries, such numerical methods have been traditionally developed using the finite volume framework and they have been at best second-order accurate. This paper proposes a non-dissipative and energy-conserving numerical method that is arbitrary high-order accurate for triangle/tetrahedral meshes along with its efficient implementation. The proposed method is a Hybridizable Discontinuous Galerkin (HDG) method. The crucial ingredients of the numerical method that lead to the discretely non-dissipative and energy-conserving features are: (i) The tangential velocity on the interior faces, just for the convective term, is set using the non-dissipative central scheme and the normal velocity is enforced to be continuous, that is, <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>H</mi>\u0000 </mrow>\u0000 <annotation>$$ H $$</annotation>\u0000 </semantics></math>(div)-conforming. (ii) An exactly (pointwise) divergence-free basis is used in each element of the mesh for the stability of the convective discretization. (iii) The combination of velocity, pressure, and velocity gradient spaces is carefully chosen to avoid using stabilization which would introduce numerical dissipation. The implementation description details our choice of the orthonormal and degree-ordered basis for each quantity and the efficient local and global problem solution using them. Numerical experiments demonstrating the various features of the proposed method are presented. The features of this HDG method make it ideal for high-order LES of incompressible flows in complex geometries.</p>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"97 4","pages":"503-522"},"PeriodicalIF":1.7,"publicationDate":"2024-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/fld.5369","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143533370","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Perturbed Polynomial With Multiple Free-Parameters Reconstructed WENO Schemes 多自由参数摄动多项式重构WENO格式
IF 1.7 4区 工程技术
International Journal for Numerical Methods in Fluids Pub Date : 2024-12-26 DOI: 10.1002/fld.5370
Yang Tao, Chen Xi, Wang Bo, Qijun Zhao, Guoqing Zhao
{"title":"Perturbed Polynomial With Multiple Free-Parameters Reconstructed WENO Schemes","authors":"Yang Tao,&nbsp;Chen Xi,&nbsp;Wang Bo,&nbsp;Qijun Zhao,&nbsp;Guoqing Zhao","doi":"10.1002/fld.5370","DOIUrl":"https://doi.org/10.1002/fld.5370","url":null,"abstract":"<div>\u0000 \u0000 <p>The classical WENO schemes perform well for most flow field simulations, they may encounter the ‘Cannikin Law’ trap, that is, the lowest accuracy order of the scheme may have a significant influence on the simulation. In this article, a novel WENO scheme (termed HPWENO) with improved convergence order is proposed to alleviate this issue. The research in this article is structured around three key steps: Firstly, the stencil is classified as either smooth stencil or non-smooth stencil by using the classification strategy of the hybrid WENO scheme. Secondly, perturbed polynomial reconstruction with double free-parameters is proposed. Finally, the new reconstruction coefficients containing multiple free-parameters, built on the classical fifth-order WENO schemes, are obtained by using the perturbed polynomial reconstruction. Compared to the fifth-order WENO schemes, a maximum two-order of accuracy improvement in candidate stencils and one-order of accuracy improvement in global stencil can be achieved by adaptively adjusting the values of these free-parameters, resulting in sixth-order accuracy in global stencil and fifth-order accuracy in candidate stencils. Compared to the classical fifth-order WENO5-Z scheme and the WENO-AO(5,3) scheme, numerical examples show that the HPWENO schemes have higher convergence ratio, provide sharper solution profiles near discontinuities, and perform well in resolving small-scale structures. Compared to the sixth-order WENO-CU6 scheme and the seventh-order WENO7-Z scheme, the proposed HPWENO schemes outperform the two schemes in resolving the small-scale vortex of two-dimensional issues, and it saves approximately 15% and 25% of computational resources, respectively.</p>\u0000 </div>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"97 4","pages":"523-545"},"PeriodicalIF":1.7,"publicationDate":"2024-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143533371","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 Hybrid Method Combining Mimetic Finite Difference and Discontinuous Galerkin for Two-Phase Reservoir Flow Problems 求解两相油藏流动问题的模拟有限差分与不连续伽辽金混合方法
IF 1.7 4区 工程技术
International Journal for Numerical Methods in Fluids Pub Date : 2024-12-18 DOI: 10.1002/fld.5367
Xiang Rao, Xupeng He, Hyung Kwak, Hussein Hoteit
{"title":"A Hybrid Method Combining Mimetic Finite Difference and Discontinuous Galerkin for Two-Phase Reservoir Flow Problems","authors":"Xiang Rao,&nbsp;Xupeng He,&nbsp;Hyung Kwak,&nbsp;Hussein Hoteit","doi":"10.1002/fld.5367","DOIUrl":"https://doi.org/10.1002/fld.5367","url":null,"abstract":"<div>\u0000 \u0000 <p>We introduce a new hybrid numerical approach that integrates the Mimetic Finite Difference (MFD) and Discontinuous Galerkin (DG) methods, termed the MFD-DG method. This technique leverages the MFD method to adeptly manage arbitrary quadrilateral meshes and full permeability tensors, addressing the flow equation for both edge-center and cell-center pressures. It also provides an approximation for phase fluxes across interfaces and within cells. Subsequently, the DG scheme, equipped with a slope limiter, is applied to the convection-dominated transport equation to compute nodal and cell-average water saturations. We present two numerical examples that demonstrate the MFD's capability to deliver high-precision approximations of pressure and flux distributions across a broad spectrum of grid types. Furthermore, our proposed hybrid MFD-DG method demonstrates a significantly enhanced ability to capture sharp water flooding fronts with greater accuracy compared to the traditional Finite Difference (FD) Method. To further demonstrate the efficacy of our approach, four numerical examples are provided to illustrate the MFD-DG method's superiority over the classical Finite Volume (FV) method and MFDM, particularly in scenarios characterized by anisotropic permeability tensors and intricate geometries.</p>\u0000 </div>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"97 4","pages":"484-502"},"PeriodicalIF":1.7,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143533358","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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