International Journal for Numerical Methods in Fluids最新文献

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A data-driven turbulence modeling for the Reynolds stress tensor transport equation 雷诺应力张量传输方程的数据驱动湍流建模
IF 1.8 4区 工程技术
International Journal for Numerical Methods in Fluids Pub Date : 2024-03-26 DOI: 10.1002/fld.5284
Matheus S. S. Macedo, Matheus A. Cruz, Bernardo P. Brener, Roney L. Thompson
{"title":"A data-driven turbulence modeling for the Reynolds stress tensor transport equation","authors":"Matheus S. S. Macedo,&nbsp;Matheus A. Cruz,&nbsp;Bernardo P. Brener,&nbsp;Roney L. Thompson","doi":"10.1002/fld.5284","DOIUrl":"10.1002/fld.5284","url":null,"abstract":"<p>The long lasting demand for better turbulence models and the still prohibitively computational cost of high-fidelity fluid dynamics simulations, like direct numerical simulations and large eddy simulations, have led to a rising interest in coupling available high-fidelity datasets and popular, yet limited, Reynolds averaged Navier–Stokes simulations through machine learning (ML) techniques. Many of the recent advances used the Reynolds stress tensor or, less frequently, the Reynolds force vector as the target for these corrections. In the present work, we considered an unexplored strategy, namely to use the modeled terms of the Reynolds stress transport equation as the target for the ML predictions, employing a neural network approach. After that, we solve the coupled set of governing equations to obtain the mean velocity field. We apply this strategy to solve the flow through a square duct. The obtained results consistently recover the secondary flow, which is not present in the baseline simulations that used the <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>κ</mi>\u0000 <mo>−</mo>\u0000 <mi>ϵ</mi>\u0000 </mrow>\u0000 <annotation>$$ kappa -epsilon $$</annotation>\u0000 </semantics></math> model. The results were compared with other approaches of the literature, showing a path that can be useful in the seek of more universal models in turbulence.</p>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"96 7","pages":"1194-1214"},"PeriodicalIF":1.8,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140303186","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
Development of a cascaded lattice Boltzmann model for two-layer shallow water flows 开发双层浅水流动的级联晶格玻尔兹曼模型
IF 1.8 4区 工程技术
International Journal for Numerical Methods in Fluids Pub Date : 2024-03-26 DOI: 10.1002/fld.5288
Silvia Di Francesco, Sara Venturi, Jessica Padrone, Antonio Agresta
{"title":"Development of a cascaded lattice Boltzmann model for two-layer shallow water flows","authors":"Silvia Di Francesco,&nbsp;Sara Venturi,&nbsp;Jessica Padrone,&nbsp;Antonio Agresta","doi":"10.1002/fld.5288","DOIUrl":"10.1002/fld.5288","url":null,"abstract":"<div>\u0000 \u0000 <p>Many environmental phenomena, such as flows in rivers or in coastal region can be characterised by means of the ‘shallow approach’. A multi-layer scheme allows to extend it to density layered shallow water flows (e.g., gravity currents). Although a variety of models allowing numerical investigation of single and multi-layer shallow water flows, based on continuum and particle approaches, have been widely discussed, there are still some computational aspects that need further investigation. Focusing on the Lattice Boltzmann models (LBM), available multi-layer models generally use the standard linear collision operator (CO). In this work we adopt a multi relaxation time (MRT) cascaded collision operator to develop a two-layered liquid Lattice-Boltzmann model (CaLB-2). Specifically, the model solves the shallow water equations, taking into account two separate sets of particle distribution function (PDF), one for each layer, solved separately. Layers are connected through coupling terms, defined as external forces that model the mutual actions between the two layers. The model is validated through comparisons with experimental and numerical results from test cases available in literature. First results are very promising, highlighting a good correspondence between simulation results and literature benchmarks.</p>\u0000 </div>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"96 7","pages":"1230-1249"},"PeriodicalIF":1.8,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140301794","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
Enhanced conservative phase field method for moving contact line problems 移动接触线问题的增强型保守相场法
IF 1.8 4区 工程技术
International Journal for Numerical Methods in Fluids Pub Date : 2024-03-26 DOI: 10.1002/fld.5286
Mingguang Shen, Ben Q. Li
{"title":"Enhanced conservative phase field method for moving contact line problems","authors":"Mingguang Shen,&nbsp;Ben Q. Li","doi":"10.1002/fld.5286","DOIUrl":"10.1002/fld.5286","url":null,"abstract":"<p>The traditional Allen–Cahn phase field model doesn't conserve mass and is mostly used in solidification microstructure formation. However, a recently modified Allen–Cahn phase field model has riveted the attention of the academic community. It was obtained by subtracting the curvature-driven flow term from the advective Allen–Cahn phase field model, and thus improves the boundedness of the phase field. More recently, the model has been further refined with the recovered signed distance function to compute interface normal vectors. This paper develops a three dimensional phase field model, based on the abovementioned Allen–Cahn phase field model. The model was discretized using a finite difference method on a half-staggered grid. More important, interfacial tension was expressed in a potential form. The model was tested against a number of cases and was applied to impacts in various conditions. Besides, the model was parallelized using the shared memory parallelism, OpenMP, to facilitate computation.</p>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"96 7","pages":"1215-1229"},"PeriodicalIF":1.8,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140301460","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
On robust boundary treatments for wall-modeled LES with high-order discontinuous finite element methods 用高阶非连续有限元方法对壁模型 LES 进行稳健边界处理
IF 1.8 4区 工程技术
International Journal for Numerical Methods in Fluids Pub Date : 2024-03-19 DOI: 10.1002/fld.5281
Yuma Fukushima, Takanori Haga
{"title":"On robust boundary treatments for wall-modeled LES with high-order discontinuous finite element methods","authors":"Yuma Fukushima,&nbsp;Takanori Haga","doi":"10.1002/fld.5281","DOIUrl":"10.1002/fld.5281","url":null,"abstract":"<div>\u0000 \u0000 <p>To robustly and accurately simulate wall-bounded turbulent flows at high Reynolds numbers, we propose suitable boundary treatments for wall-modeled large-eddy simulation (WMLES) coupled with a high-order flux reconstruction (FR) method. First, we show the need to impose an auxiliary boundary condition on auxiliary variables (solution gradients) that are commonly introduced in high-order discontinuous finite element methods (DFEMs). Auxiliary boundary conditions are introduced in WMLES, where the grid resolution is too coarse to resolve the inner layer of a turbulent boundary layer. Another boundary treatment to further enhance stability with under-resolved grids, is the use of a modal filter only in the wall-normal direction of wall-adjacent cells to remove the oscillations. A grid convergence study of turbulent channel flow with a high Reynolds number (<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>R</mi>\u0000 <msub>\u0000 <mrow>\u0000 <mi>e</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>τ</mi>\u0000 </mrow>\u0000 </msub>\u0000 <mo>≈</mo>\u0000 <mn>5200</mn>\u0000 </mrow>\u0000 <annotation>$$ R{e}_{tau}approx 5200 $$</annotation>\u0000 </semantics></math>) shows that the present WMLES framework accurately predicts velocity profiles, Reynolds shear stress, and skin friction coefficients at the grid resolutions recommended in the literature. It was confirmed that a small amount of filtering is sufficient to stabilize computation, with negligible influence on prediction accuracy. In addition, non-equilibrium periodic hill flow with a curved wall, including flow separation, reattachment, and acceleration at a high Reynolds number (<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>R</mi>\u0000 <msub>\u0000 <mrow>\u0000 <mi>e</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>h</mi>\u0000 </mrow>\u0000 </msub>\u0000 <mo>≈</mo>\u0000 <mn>37</mn>\u0000 <mo>,</mo>\u0000 <mn>000</mn>\u0000 </mrow>\u0000 <annotation>$$ R{e}_happrox 37,000 $$</annotation>\u0000 </semantics></math>), is reported. Considering stability and the prediction accuracy, we recommend a loose auxiliary wall boundary conditions with a less steep velocity gradient for WMLES using high-order DFEMs.</p>\u0000 </div>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"96 7","pages":"1170-1193"},"PeriodicalIF":1.8,"publicationDate":"2024-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140167692","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
Simulation of fluid-structure interaction using the boundary data immersion method with adaptive mesh refinement 利用自适应网格细化的边界数据浸入法模拟流固耦合效应
IF 1.8 4区 工程技术
International Journal for Numerical Methods in Fluids Pub Date : 2024-03-18 DOI: 10.1002/fld.5283
Yuan Wang, Wei Ge
{"title":"Simulation of fluid-structure interaction using the boundary data immersion method with adaptive mesh refinement","authors":"Yuan Wang,&nbsp;Wei Ge","doi":"10.1002/fld.5283","DOIUrl":"10.1002/fld.5283","url":null,"abstract":"<div>\u0000 \u0000 <p>The fluid-structure interaction is simulated using the boundary data immersion method. As the fluid-structure interface is smeared in the smoothing region, deviations are incurred in fluid simulations. For compressible flow, high order difference schemes with more mesh cells for the stencils are usually employed to achieve high overall accuracy, but near interfaces it requires wider smoothing region of several mesh cells for computational stability and hence lowers its accuracy significantly. To address this issue, the proposed algorithm switches to lower order difference schemes near the interfaces and applies adaptive mesh refining there to compensate the accuracy loss. Implemented with Structured Adaptive Mesh Refinement Application Infrastructure (SAMRAI), the algorithm shows notable improvement in the overall accuracy and efficiency in cases such as channel flow and flow past a cylinder. The algorithm is used to simulate the shock wave past a fixed or free cylinder with Ma <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>=</mo>\u0000 <mn>2</mn>\u0000 <mo>.</mo>\u0000 <mn>67</mn>\u0000 </mrow>\u0000 <annotation>$$ =2.67 $$</annotation>\u0000 </semantics></math> and Re <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>=</mo>\u0000 <mn>1482</mn>\u0000 </mrow>\u0000 <annotation>$$ =1482 $$</annotation>\u0000 </semantics></math>, which reveals the relaxation process and the temporal evolution of the drag coefficient, it goes through a valley and maintains at relatively high value for the fixed cylinder, while that of the free cylinder tends to decrease in fluctuation which is found to be caused by the interaction between the forward moving cylinder and vortexes in the unsteady wake.</p>\u0000 </div>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"96 7","pages":"1156-1169"},"PeriodicalIF":1.8,"publicationDate":"2024-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140167595","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
Local discontinuous Galerkin method coupled with the implicit-explicit Runge–Kutta method for the time-dependent micropolar fluid equations 局部非连续伽勒金方法与隐式显式 Runge-Kutta 方法耦合用于时变微波流体方程
IF 1.8 4区 工程技术
International Journal for Numerical Methods in Fluids Pub Date : 2024-03-15 DOI: 10.1002/fld.5282
Mengqi Li, Demin Liu
{"title":"Local discontinuous Galerkin method coupled with the implicit-explicit Runge–Kutta method for the time-dependent micropolar fluid equations","authors":"Mengqi Li,&nbsp;Demin Liu","doi":"10.1002/fld.5282","DOIUrl":"10.1002/fld.5282","url":null,"abstract":"<p>In this article, the spatial local discontinuous Galerkin (LDG) approximation coupled with the temporal implicit-explicit Runge–Kutta (RK) evolution for the micropolar fluid equations are adopted to construct the discretization method. To avoid the incompressibility constraint, the artificial compressibility strategy method is used to convert the micropolar fluid equations into the Cauchy–Kovalevskaja type equations. Then the LDG method based on the modal expansion and the implicit-explicit RK method are properly combined to construct the expected third-order method. Theoretically, the unconditionally stable of the fully discrete method are derived in multidimensions for triangular meshs. And the numerical experiments are given to verify the theoretical and effectiveness of the presented methods.</p>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"96 7","pages":"1137-1155"},"PeriodicalIF":1.8,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140149688","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 centered limited finite volume approximation of the momentum convection operator for low-order nonconforming face-centered discretizations 用于低阶不符合面心离散的动量对流算子的中心限定有限体积近似值
IF 1.8 4区 工程技术
International Journal for Numerical Methods in Fluids Pub Date : 2024-03-11 DOI: 10.1002/fld.5276
A. Brunel, R. Herbin, J.-C. Latché
{"title":"A centered limited finite volume approximation of the momentum convection operator for low-order nonconforming face-centered discretizations","authors":"A. Brunel,&nbsp;R. Herbin,&nbsp;J.-C. Latché","doi":"10.1002/fld.5276","DOIUrl":"10.1002/fld.5276","url":null,"abstract":"&lt;p&gt;We propose in this article a discretization of the momentum convection operator for fluid flow simulations on quadrangular or generalized hexahedral meshes. The space discretization is performed by the low-order nonconforming Rannacher–Turek finite element: the scalar unknowns are associated with the cells of the mesh while the velocities unknowns are associated with the edges or faces. The momentum convection operator is of finite volume type, and its expression is derived, as in MUSCL schemes, by a two-step technique: &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mi&gt;i&lt;/mi&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ (i) $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; computation of a tentative flux, here, with a centered approximation of the velocity, and &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mi&gt;i&lt;/mi&gt;\u0000 &lt;mi&gt;i&lt;/mi&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ (ii) $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; limitation of this flux using monotonicity arguments. The limitation procedure is of algebraic type, in the sense that its does not invoke any slope reconstruction, and is independent from the geometry of the cells. The derived discrete convection operator applies both to constant or variable density flows and may thus be implemented in a scheme for incompressible or compressible flows. To achieve this goal, we derive a discrete analogue of the computation &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;msub&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;u&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;i&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msub&gt;\u0000 &lt;mspace&gt;&lt;/mspace&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;msub&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;∂&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;t&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msub&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mi&gt;ρ&lt;/mi&gt;\u0000 &lt;msub&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;u&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;i&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msub&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;mo&gt;+&lt;/mo&gt;\u0000 &lt;mtext&gt;div&lt;/mtext&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mi&gt;ρ&lt;/mi&gt;\u0000 &lt;msub&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;u&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 ","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"96 6","pages":"1104-1135"},"PeriodicalIF":1.8,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/fld.5276","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140124315","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
Approximate inner solvers for block preconditioning of the incompressible Navier–Stokes problems discretized by isogeometric analysis 用等距分析法对不可压缩纳维-斯托克斯问题进行分块预处理的近似内求解器
IF 1.8 4区 工程技术
International Journal for Numerical Methods in Fluids Pub Date : 2024-03-07 DOI: 10.1002/fld.5280
Jiří Egermaier, Hana Horníková
{"title":"Approximate inner solvers for block preconditioning of the incompressible Navier–Stokes problems discretized by isogeometric analysis","authors":"Jiří Egermaier,&nbsp;Hana Horníková","doi":"10.1002/fld.5280","DOIUrl":"10.1002/fld.5280","url":null,"abstract":"<p>We deal with efficient numerical solution of the steady incompressible Navier–Stokes equations (NSE) using our in-house solver based on the isogeometric analysis (IgA) approach. We are interested in the solution of the arising saddle-point linear systems using preconditioned Krylov subspace methods. Based on our comparison of ideal versions of several state-of-the-art block preconditioners for linear systems arising from the IgA discretization of the incompressible NSE, suitable candidates have been selected. In the present paper, we focus on selecting efficient approximate solvers for solving subsystems within these preconditioning methods. We investigate the impact on the convergence of the outer solver and aim to identify an effective combination. For this purpose, we compare convergence properties of the selected solution approaches for problems with different viscosity values, mesh refinement levels and discretization bases.</p>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"96 6","pages":"1078-1103"},"PeriodicalIF":1.8,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/fld.5280","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140072877","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
Enforcing accurate volume conservation in VOF-based long-term simulations of turbulent bubble-laden flows on coarse grids 在粗网格上基于 VOF 的含气泡湍流长期模拟中强制执行精确的体积守恒
IF 1.8 4区 工程技术
International Journal for Numerical Methods in Fluids Pub Date : 2024-03-05 DOI: 10.1002/fld.5279
Elias Trautner, Josef Hasslberger, Paolo Cifani, Markus Klein
{"title":"Enforcing accurate volume conservation in VOF-based long-term simulations of turbulent bubble-laden flows on coarse grids","authors":"Elias Trautner,&nbsp;Josef Hasslberger,&nbsp;Paolo Cifani,&nbsp;Markus Klein","doi":"10.1002/fld.5279","DOIUrl":"10.1002/fld.5279","url":null,"abstract":"<p>This study proposes two different strategies to enforce accurate volume conservation in volume-of-fluid (VOF)-based simulations of turbulent bubble-laden flows on coarse grids. It is demonstrated that, without a correction, minimal volume errors on a time-step level, caused by the under-resolution of the interface, can accumulate to significant deviations from the intended flow conditions despite the comparably good volume conservation properties of the geometric VOF method. In particular, large volume errors are observed for challenging setups combining coarse grid resolutions and comparably high Reynolds and Eötvös numbers. The problem is reinforced for long-term simulations in periodic domains, which are often performed to collect flow statistics of bubbly flows. The first proposed volume conservation method simply corrects the volume error of a bubble by uniformly adding or removing the respective amount of gas volume in the interface cells. The second proposed method performs an additional reconstruction and advection step of the VOF field using a non-divergence-free velocity field, which can be interpreted as a slight dilatation or contraction of the bubble. A comparison between the global flow statistics as well as the individual bubble dynamics for both volume conservation methods reveals that the results are quasi-identical for a number of challenging test cases, while the gas volume is accurately conserved. The proposed methods allow to perform numerical simulations of freely deformable bubbles in turbulent flows for setups that have previously been out of reach for this numerical framework.</p>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"96 6","pages":"1057-1077"},"PeriodicalIF":1.8,"publicationDate":"2024-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/fld.5279","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140046847","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
High-resolution mapping type WENO-Z schemes for solving compressible flow 用于求解可压缩流动的高分辨率映射型 WENO-Z 方案
IF 1.8 4区 工程技术
International Journal for Numerical Methods in Fluids Pub Date : 2024-03-04 DOI: 10.1002/fld.5275
Shujiang Tang, Mingjun Li
{"title":"High-resolution mapping type WENO-Z schemes for solving compressible flow","authors":"Shujiang Tang,&nbsp;Mingjun Li","doi":"10.1002/fld.5275","DOIUrl":"10.1002/fld.5275","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper presents a new WENO-Z scheme (WENO-MZ) that incorporates a mapping function to enhance the weights of the less smooth sub-stencils. The mapping function uses an innovative approach to modify the weight ratio of the less smooth sub-stencil to the smooth stencil. In addition, we present the WENO-MD scheme, which is a further development of the WENO-MZ scheme that incorporates a modifier function. The WENO-MD scheme shows improvements over the WENO-MZ scheme by achieving an improved optimal order at critical points in higher orders and by increasing the proportion of less smooth sub-stencils. Theoretical and numerical experiments have shown that the newly developed methods have improved shock capture capabilities and resolution compared to WENO-JS, WENO-Z, WENO-M, WENO-D, and WENO-AIM, and also lead to significant computational time savings compared to WENO-M and WENO-AIM.</p>\u0000 </div>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"96 6","pages":"1031-1056"},"PeriodicalIF":1.8,"publicationDate":"2024-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140036968","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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