International Journal for Numerical Methods in Fluids最新文献_第4页

Comparison of Contact Angle Models in Two-Phase Flow Simulations Using a Conservative Phase Field Equation

IF 1.7 4区工程技术

International Journal for Numerical Methods in Fluids Pub Date : 2024-11-04 DOI: 10.1002/fld.5352

Mingguang Shen, Ben Q. Li

{"title":"Comparison of Contact Angle Models in Two-Phase Flow Simulations Using a Conservative Phase Field Equation","authors":"Mingguang Shen, Ben Q. Li","doi":"10.1002/fld.5352","DOIUrl":"https://doi.org/10.1002/fld.5352","url":null,"abstract":"<p>In phase field methods based on a second-order Allen-Cahn (AC) equation, contact angles are prescribed mostly via a geometric formulation. However, it is of great interest to utilize the surface-energy formulation, which is often employed in the Cahn-Hilliard (CH) phase field method, in the AC phase field method. This article thus put forward a surface-energy formulation of contact angles. The model was compared with the geometric one in a number of impact problems, including both normal and oblique impacts. The governing equations were discretized using a finite difference method on a half-staggered grid. The Navier–Stokes equation was tackled using an explicit projection method. The major findings are as follows. First, the geometric model can maintain a fixed contact angle throughout contact line motion, while the surface-energy one predicts a changeable contact angle, with a fluctuation of about 5°. In the oblique drop impact, contact angle hysteresis was captured even if a static contact angle was applied in the surface-energy formulation.</p>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"97 3","pages":"315-328"},"PeriodicalIF":1.7,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/fld.5352","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143111999","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

A Hybrid Approach of Buongiorno's Law and Darcy–Forchheimer Theory Using Artificial Neural Networks: Modeling Convective Transport in Al2O3-EO Mono-Nanofluid Around a Riga Wedge in Porous Medium

IF 1.7 4区工程技术

International Journal for Numerical Methods in Fluids Pub Date : 2024-11-04 DOI: 10.1002/fld.5348

Anum Shafiq, Andaç Batur Çolak, Tabassum Naz Sindhu

{"title":"A Hybrid Approach of Buongiorno's Law and Darcy–Forchheimer Theory Using Artificial Neural Networks: Modeling Convective Transport in Al2O3-EO Mono-Nanofluid Around a Riga Wedge in Porous Medium","authors":"Anum Shafiq, Andaç Batur Çolak, Tabassum Naz Sindhu","doi":"10.1002/fld.5348","DOIUrl":"https://doi.org/10.1002/fld.5348","url":null,"abstract":"<div>\u0000 \u0000 <p>The inspiration for this study originates from a recognized research gap within the broader collection of studies on nanofluids, with a specific focus on their interactions with different surfaces and boundary conditions (BCs). The primary purpose of this research is to use an artificial neural network to examine the combination of Alumina-Engine oil-based nanofluid flow subject to electro-magnetohydrodynamic effects, within a porous medium, and over a stretching surface with an impermeable structure under convective BCs. The flow model incorporates Thermophoresis and Brownian motion directly from Buongiorno's model. Accounting for the porous medium's effect, the model integrates the Forchheimer number (depicting local inertia) and the porosity factor developed in response to the presence of the porous medium. The conversion of governing equations into non-linear ordinary differential systems is achieved by implementing transformations. A highly non-linear ordinary differential system's final system is solved using a numerical scheme (Runge–Kutta fourth-order). Findings indicate that the porosity factor positively impacts the skin friction and the momentum boundary layer. The influence suggests an increment in the frictional force and a decline in the velocity profile. The volume fraction, Prandtl number, and magnetic number significantly impact the flow profiles. The skin friction data is tabulated with some physical justifications.</p>\u0000 </div>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"97 3","pages":"299-314"},"PeriodicalIF":1.7,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143112017","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

Using the Discrete Wavelet Transform for Lossy On-the-Fly Compression of GPU Fluid Simulations

IF 1.7 4区工程技术

International Journal for Numerical Methods in Fluids Pub Date : 2024-10-27 DOI: 10.1002/fld.5344

Clément Flint, Atoli Huppé, Philippe Helluy, Bérenger Bramas, Stéphane Genaud

{"title":"Using the Discrete Wavelet Transform for Lossy On-the-Fly Compression of GPU Fluid Simulations","authors":"Clément Flint, Atoli Huppé, Philippe Helluy, Bérenger Bramas, Stéphane Genaud","doi":"10.1002/fld.5344","DOIUrl":"https://doi.org/10.1002/fld.5344","url":null,"abstract":"<p>High-performance computing in fluid dynamics frequently confronts substantial memory demands, especially in large-scale applications. Data compression techniques can alleviate these memory constraints, but introduce new challenges. This paper introduces an innovative on-the-fly low-overhead lossy compression technique tailored for GPU-based fluid simulations, utilizing the discrete wavelet transform (DWT). The technique is applicable to any numerical scheme where the data is stored on a regular grid and the time step is computed using a stencil. Our approach significantly diminishes memory requirements, achieving up to a 10-fold long-term reduction on a D3Q27 simulation, while minimally impacting the simulation accuracy. The methodology is built around careful design choices to achieve a satisfactory compression ratio/speed trade-off. It effectively maintains mass conservation and accurately preserves essential discontinuities in simulations. Extensive testing with a D3Q27 Lattice-Boltzmann method (LBM) simulation on a single GPU has shown that large-scale grids can be processed with minimal impact on the simulation accuracy and acceptable compression times. This compression technique demonstrates a robust capability to handle memory limitations in fluid simulations, opening the door to more complex and larger-scale simulations.</p>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"97 3","pages":"283-298"},"PeriodicalIF":1.7,"publicationDate":"2024-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/fld.5344","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143119943","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

A Relaxation Scheme for the Simulation of Two-Phase Flows With Inaccessible Pore Volume in Polymer Flooding

IF 1.7 4区工程技术

International Journal for Numerical Methods in Fluids Pub Date : 2024-10-21 DOI: 10.1002/fld.5345

C. Berthon, B. Braconnier, G. L. Dongmo Nguepi, C. Preux, Q. H. Tran

{"title":"A Relaxation Scheme for the Simulation of Two-Phase Flows With Inaccessible Pore Volume in Polymer Flooding","authors":"C. Berthon, B. Braconnier, G. L. Dongmo Nguepi, C. Preux, Q. H. Tran","doi":"10.1002/fld.5345","DOIUrl":"https://doi.org/10.1002/fld.5345","url":null,"abstract":"<p>The simulation of polymer injection in a reservoir is of paramount importance in enhanced oil recovery. Despite decades of research, the computation of polymer flows in porous media remains a challenging task. The main difficulty lies in the necessity to take into account the effect of <i>inaccessible pore volumes</i> (IPV), for which standard closure laws give rise to a weakly hyperbolic or even non-hyperbolic system. In the latter case, exponential instabilities may appear at the continuous level, which must be addressed at the discrete level so as to prevent a premature stop of the numerical simulations. The notion of IPV was introduced by engineers in order to account for the following observation: when a polymer solution is injected into an initial core saturated with water, the breakthrough of the polymer at the exit occurs before that of the water in which it is injected. It seems that due to their large size, the polymer molecules cannot insinuate themselves into all pores as well as water. Having less volume to flood, the polymer molecules see their speed increased, hence the ad hoc acceleration factor associated with the polymer. In this work, we propose a relaxation method that guarantees some practical robustness for all IPV laws. This is achieved by replacing the original system by a relaxation model which is always hyperbolic. The designed relaxation model involves two parameters which enable us not only to adjust the correct amount of numerical dissipation, but also to ensure positivity for some critical quantities such as water saturation and polymer concentration. Extensive numerical tests are performed in order to compare the relaxation scheme to the more classical upwind scheme for several IPV laws.</p>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"97 3","pages":"244-266"},"PeriodicalIF":1.7,"publicationDate":"2024-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/fld.5345","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143117677","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

Multi-Objective Optimization and Experimental Research of Ship Form Based on Improved Bare-Bones Multi-Objective Particle Swarm Optimization Algorithm

IF 1.7 4区工程技术

International Journal for Numerical Methods in Fluids Pub Date : 2024-10-21 DOI: 10.1002/fld.5346

Jie Liu, Baoji Zhang, Yuyang Lai, Liqiao Fang

{"title":"Multi-Objective Optimization and Experimental Research of Ship Form Based on Improved Bare-Bones Multi-Objective Particle Swarm Optimization Algorithm","authors":"Jie Liu, Baoji Zhang, Yuyang Lai, Liqiao Fang","doi":"10.1002/fld.5346","DOIUrl":"https://doi.org/10.1002/fld.5346","url":null,"abstract":"<div>\u0000 \u0000 <p>Ship form optimization poses a complex and high-dimensional engineering challenge. Therefore, when conducting multi-objective optimization research of ship forms, traditional intelligent optimization algorithms are prone to falling into local optima solution and difficult to converge. In order to effectively improve the diversity and convergence performance of the algorithm, this paper improves the bare-bones multi-objective particle swarm optimization (BBMOPSO) algorithm by dynamically adjusting the local and global search step sizes, and verifies the algorithm's reliability through standard function testing. Then, a multi-objective optimization design framework with high efficiency and high integration is constructed. Taking DTMB 5512 as the research case, Free Form Deformation (FFD) method is used for hull deformation, and the proposed algorithm is used for multi-objective optimization of resistance performance and motion response. Ship model tests were conducted on the DTMB 5512's original hull. And the numerical simulations were compared with the ship model tests. Finally, under the constructed multi-objective optimization design framework, satisfactory solutions were obtained through the improved algorithm, which confirms the effectiveness and practicality of the improved algorithm. The results show that the algorithm improved in this paper can provide some theoretical basis and technical support for green ship design and low-carbon shipping.</p>\u0000 </div>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"97 3","pages":"267-282"},"PeriodicalIF":1.7,"publicationDate":"2024-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143117678","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

Computation of Deformable Interface Two-Phase Flows: A Semi-Lagrangian Finite Element Approach

IF 1.7 4区工程技术

International Journal for Numerical Methods in Fluids Pub Date : 2024-10-14 DOI: 10.1002/fld.5342

Daniel B. V. Santos, Rafael Vidal, Prashant Valluri, Gustavo R. Anjos

{"title":"Computation of Deformable Interface Two-Phase Flows: A Semi-Lagrangian Finite Element Approach","authors":"Daniel B. V. Santos, Rafael Vidal, Prashant Valluri, Gustavo R. Anjos","doi":"10.1002/fld.5342","DOIUrl":"https://doi.org/10.1002/fld.5342","url":null,"abstract":"<div>\u0000 \u0000 <p>This work aims at presenting a new computational approach to study two and three dimensional two-phase flows and two dimensional coalescence phenomenon using direct numerical simulation. The flows are modeled by the incompressible Navier–Stokes equations, which are approximated by the finite element method. The Galerkin formulation is used to discretize the Navier–Stokes equations in the spatial domain and the semi-Lagrangian method is used to discretize the material derivative. In order to satisfy the Ladyzhenskaya–Babuška–Brezzi condition, high-order stable pair of elements are used, with pressure and velocity fields being calculated on different degrees of freedom in the unstructured mesh nodes. The interface is modeled by an unfitted adaptive moving mesh, where interface nodes are tracked in a Lagrangian fashion and moved with the velocity solution of the fluid motion equations. The surface tension is computed using the interface curvature and the gradient of a Heaviside function, and added in the momentum equations as a body force. In order to avoid undesired spurious modes at the interface due to high property ratios, a smooth transition between fluid properties is defined on the interface region. Several benchmark tests have been carried out to validate the proposed approach, and the obtained results have demonstrated agreement with analytical solutions and numerical results reported in the literature. A coalescence model is also proposed based on geometric criteria and results show interesting dynamics.</p>\u0000 </div>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"97 3","pages":"233-243"},"PeriodicalIF":1.7,"publicationDate":"2024-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143115014","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

Collocation Finite Element Method for the Fractional Fokker–Planck Equation

IF 1.7 4区工程技术

International Journal for Numerical Methods in Fluids Pub Date : 2024-10-13 DOI: 10.1002/fld.5343

Hatice Karabenli, Alaattin Esen, Yusuf Uçar

{"title":"Collocation Finite Element Method for the Fractional Fokker–Planck Equation","authors":"Hatice Karabenli, Alaattin Esen, Yusuf Uçar","doi":"10.1002/fld.5343","DOIUrl":"https://doi.org/10.1002/fld.5343","url":null,"abstract":"<p>In this study, the approximate results of the fractional Fokker–Planck equations have been investigated. First, finite element schemes have been obtained using collocation finite element method based on the trigonometric quintic B-spline basis functions. Then, the present method is tested on two fundamental problems having appropriate initial conditions. The newly obtained numerical results contained the error norms <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mi>L</mi>\u0000 <mn>2</mn>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {L}_2 $$</annotation>\u0000 </semantics></math> and <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mi>L</mi>\u0000 <mi>∞</mi>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {L}_{infty } $$</annotation>\u0000 </semantics></math> for various temporal and spatial steps are compared with the exact ones and other solutions. More accurate results have been obtained for large numbers of spatial and temporal elements.</p>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"97 3","pages":"224-232"},"PeriodicalIF":1.7,"publicationDate":"2024-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/fld.5343","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143114762","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

Robust 3D multi-material hydrodynamics using discontinuous Galerkin methods

IF 1.7 4区工程技术

International Journal for Numerical Methods in Fluids Pub Date : 2024-10-08 DOI: 10.1002/fld.5340

Weizhao Li, Aditya Pandare, Hong Luo, Jozsef Bakosi, Jacob Waltz

{"title":"Robust 3D multi-material hydrodynamics using discontinuous Galerkin methods","authors":"Weizhao Li, Aditya Pandare, Hong Luo, Jozsef Bakosi, Jacob Waltz","doi":"10.1002/fld.5340","DOIUrl":"https://doi.org/10.1002/fld.5340","url":null,"abstract":"<p>A high-order discontinuous Galerkin (DG) method is presented for nonequilibrium multi-material (<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>m</mi>\u0000 <mo>≥</mo>\u0000 <mn>2</mn>\u0000 </mrow>\u0000 <annotation>$$ mge 2 $$</annotation>\u0000 </semantics></math>) flow with sharp interfaces. Material interfaces are reconstructed using the algebraic THINC approach, resulting in a sharp interface resolution. The system assumes stiff velocity relaxation and pressure nonequilibrium. The presented DG method uses Dubiner's orthogonal basis functions on tetrahedral elements. This results in a unique combination of sharp multimaterial interfaces and high-order accurate solutions in smooth single-material regions. A novel shock indicator based on the interface conservation condition is introduced to mark regions with discontinuities. Slope limiting techniques are applied only in these regions so that nonphysical oscillations are eliminated while maintaining high-order accuracy in smooth regions. A local projection is applied on the limited solution to ensure discrete closure law preservation. The effectiveness of this novel limiting strategy is demonstrated for complex three-dimensional multi-material problems, where robustness of the method is critical. The presented numerical problems demonstrate that more accurate and efficient multi-material solutions can be obtained by the DG method, as compared to second-order finite volume methods.</p>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"97 2","pages":"188-209"},"PeriodicalIF":1.7,"publicationDate":"2024-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/fld.5340","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143113182","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

Novel lattice Boltzmann method for simulation of strongly shear thinning viscoelastic fluids

IF 1.7 4区工程技术

International Journal for Numerical Methods in Fluids Pub Date : 2024-10-08 DOI: 10.1002/fld.5335

Richard Kellnberger, Tomasz Jüngst, Stephan Gekle

引用次数: 0

A finite volume scheme employing the multipoint flux approximation with diamond stencil for the diffusive-viscous wave equation on general polyhedral meshes

IF 1.7 4区工程技术

International Journal for Numerical Methods in Fluids Pub Date : 2024-10-07 DOI: 10.1002/fld.5336

Di Yang, Zhiming Gao, Wenjing Yan

引用次数: 0