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adaptive mesh refinement immersed boundary method for simulations of laminar flows past a moving thin elastic structure

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Journal of Hydrodynamics 2020年第1期32卷 148-160页

作者： Mohammed Suleman Aldlemy Mohammad Rasidi Rasani AKAriffin TMYSTuan Ya Centre for Integrated Design for Advanced Mechanical Systems Faculty of Engineering and Built EnvironmentUniversiti Kebangsaan Malaysia43600 BangiSelangorMalaysia Department of Mechanical Engineering College of Mechanical Engineering TechnologyBenghaziLibya Department of Mechanical Engineering Faculty of EngineeringUniversiti Teknologi Petronas31750 TronohPerakMalaysia

One of the critical issues in numerical simulation of fluid-structure interaction problems is inaccuracy of the solutions,especially for flows past a stationary thin elastic structure where large deformations *** resolution is required to capture the flow characteristics near the fluid-structure interface to enhance accuracy of the solutions within proximity of the thin deformable ***,in this work,an algorithm is developed to simulate fluid-structure interactions of moving deformable structures with very thin *** this algorithm,adaptive mesh refinement(AMR)is integrated with immersed boundary finite element method(IBFEM)with two-stage pressure-velocity *** successive interpolation of the flow field by IBM,the governing equations were solved using a fixed structured mesh,which significantly reduces the computational time associated with mesh *** cut-cell IBM is used to predict the body forces while FEM is used to predict deformation of the thin elastic structure in order to integrate the motions of the fluid and solid at the *** is used to discretize the governing equations and obtain solutions that efficiently capture the thin boundary layer at the fluid-solid *** AMR-IBFEM algorithm is first verified by comparing the drag coefficient,lift coefficient,and Strouhal number for a benchmark case(laminar flow past a circular cylinder at Re=100)and the results showed good agreement with those of other *** algorithm is then used to simulate 2-D laminar flows past stationary and moving thin structures positioned perpendicular to the freestream *** results also showed good agreement with those obtained from the arbitrary Lagrangian-Eulerian(ALE)algorithm for elastic thin *** is concluded that the AMR-IBFEM algorithm is capable of predicting the characteristics of laminar flow past an elastic structure with acceptable accuracy(error of-0.02%)with only-1%of the computati

关键词： Immersed boundary method finite element method adaptive mesh refinement two-stage velocity-pressure correction thin deformable structures

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High-order compact finite volume methods on unstructured grids with adaptive mesh refinement for solving inviscid and viscous flows

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Chinese Journal of Aeronautics 2018年第9期31卷 1829-1841页

作者： Jianhua PAN Qian WANG Yusi ZHANG Yuxin REN School of Aerospace Engineering Tsinghua University

In the present paper, high-order finite volume schemes on unstructured grids developed in our previous papers are extended to solve three-dimensional inviscid and viscous flows. The highorder variational reconstruction technique in terms of compact stencil is improved to reduce local condition numbers. To further improve the efficiency of computation, the adaptive mesh refinement technique is implemented in the framework of high-order finite volume methods. mesh refinement and coarsening criteria are chosen to be the indicators for certain flow structures. One important challenge of the adaptive mesh refinement technique on unstructured grids is the dynamic load balancing in parallel computation. To solve this problem, the open-source library p4 est based on the forest of octrees is adopted. Several two-and three-dimensional test cases are computed to verify the accuracy and robustness of the proposed numerical schemes.

关键词： adaptive mesh refinement Compact stencil High-order finite volume scheme Unstructured grids Variational reconstruction

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A Numerical Model for Simulating Two-Phase Flow with adaptive mesh refinement

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Computer Modeling in Engineering & Sciences 2021年第7期128卷 43-64页

作者： Yunxing Zhang Shan Ma Kangping Liao Wenyang Duan Harbin Engineering University Harbin150001China

In this study,a numerical model for simulating two-phase flow is *** Cartesian grid with adaptive mesh refinement(AMR)is adopted to reduce the computational *** explicit projection method is used for the time integration and the Finite Difference Method(FDM)is applied on a staggered grid for the discretization of spatial *** Volume of Fluid(VOF)method with Piecewise-Linear Interface Calculation(PLIC)is extended to the AMR grid to capture the gas-water interface accurately.A coarse-fine interface treatment method is developed to preserve the flux conservation at the *** two-dimensional(2D)and three-dimensional(3D)benchmark cases are carried out for the validation of the model.2D and 3D shear flow tests are conducted to validate the extension of the VOF method to the AMR grid.A 2D linear sloshing case is considered in which the model is proved to have 2nd-order accuracy in *** efficiency of applying the AMR grid is discussed with a nonlinear sloshing ***,2D solitary wave past stage and 2D/3D dam break are simulated to demonstrate that the model is able to simulate violent interface problems.

关键词： Two-phase flow adaptive mesh refinement VOF coarse-fine interface treatment

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An adaptive mesh refinement Strategy for Immersed Boundary/Interface Methods

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Communications in Computational Physics 2012年第7期12卷 515-527页

作者： Zhilin Li Peng Song Center for Research in Scientific Computation&Department of Mathematics North Carolina State UniversityRaleighNC 27695USA Nanjing Normal University China Operations Research Program North Carolina StateUniversityRaleighNC 27695USA

An adaptive mesh refinement strategy is proposed in this paper for the Immersed Boundary and Immersed Interface methods for two-dimensional elliptic interface problems involving singular *** interface is represented by the zero level set of a Lipschitz functionϕ(x,y).Our adaptive mesh refinement is done within a small tube of|ϕ(x,y)|δwith finer Cartesian *** discrete linear system of equations is solved by a multigrid *** AMR methods could obtain solutions with accuracy that is similar to those on a uniform fine grid by distributing the mesh more economically,therefore,reduce the size of the linear system of the *** examples presented show the efficiency of the grid refinement strategy.

关键词： adaptive mesh refinement immersed boundary method immersed interface method elliptic interface problem Cartesian grid method level set representation singular sources

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A three-dimensional robust volume-of-fluid solver based on the adaptive mesh refinement

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Theoretical & Applied Mechanics Letters 2021年第6期11卷 370-374页

作者： Xin Zhao Department of Mechanics Beijing Institute of TechnologyBeijing 100081China

The present study provides a three-dimensional volume-of-fluid method based on the adaptive mesh refinement *** projection method on the adaptive mesh is introduced for solving the incompressible Navier-Stokes *** octree structure mesh is employed to solve the flow velocities and the *** developed solver is applied to simulate the deformation of the cubic droplet driven by the surface tension without the effect of the *** numerical results well predict the shape evolution of the droplet.

关键词： adaptive mesh refinement Volume of fluid method Surface tension Interfacial flow Projection method

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Cavitation Evolution Around a Twist Hydrofoil by Large Eddy Simulation(LES)with mesh Adaption

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Journal of Ocean University of China 2023年第3期22卷 627-636页

作者： WANG Zhengdong LI Linmin LI Xiaojun YANG Chunye ZHU Zuchao Key Laboratory of Fluid Transmission Technology of Zhejiang Province Zhejiang Sci-Tech UniversityHangzhou 310018China Ebara Great Pumps Co. Ltd.Wenzhou 325200China

The cavitating flow around a Delft Twist-11 hydrofoil is simulated using the large eddy simulation *** volume-of-fluid method incorporated with the Schnerr-Sauer cavitation model is utilized to track the water-vapor *** mesh refinement(AMR)is also applied to improve the simulation accuracy *** refinement levels are conducted to verify the dominance of AMR in predicting cavitating *** show that cavitation features,including the U-type structure of shedding clouds,are consistent with experimental *** a coarse mesh can precisely capture the phase field without increasing the total cell number significantly using mesh *** predicted shedding frequency agrees fairly well with the experimental data under refinement level *** study illustrates that AMR is a promising approach to achieve accurate simulations for multiscale cavitating flows within limited computational ***,the force element method is currently adopted to investigate the lift and drag fluctuations during the evolution of cavitation *** mechanisms of lift and drag fluctuations due to cavitation and the interaction between vorticity forces and cavitation are explicitly revealed.

关键词： cavitating flow adaptive mesh refinement volume of fluid vorticity force force element method

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Simple and robust h-adaptive shock-capturing method for flux reconstruction framework

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Chinese Journal of Aeronautics 2023年第7期36卷 348-365页

作者： Lintao HUANG Zhenhua JIANG Shuai LOU Xin ZHANG Chao YAN School of Aeronautic Science and Engineering Beihang UniversityBeijing 100191China Research Office No.12 Beijing Institute of Astronautical Systems EngineeringBeijing 100076China

In this paper,a simple and robust shock-capturing method is developed for the Flux Reconstruction(FR)framework by combining the adaptive mesh refinement(AMR)technique with the positivity-preserving *** adaptive technique avoids the use of redundant meshes in smooth regions,while the positivity-preserving property makes the solver capable of providing numerical solutions with physical *** compatibility of these two significant features relies on a novel limiter designed for mesh *** ensures the positivity of solutions on all newly created ***,the proposed method is completely positivity-preserving and thus highly *** performs well in solving challenging problems on highly refined meshes and allows the transition of cells at different levels to be completed within a very short *** performance of the proposed method is examined in various numerical *** solving Euler equations,the technique of Local Artificial Diffusivity(LAD)is additionally coupled to damp *** importantly,when solving Navier-Stokes equations,the proposed method requires no auxiliaries and can provide satisfying numerical solutions *** implementation of the method becomes rather simple.

关键词： adaptive mesh refinement Flux reconstruction Positivity-preserving scheme Robustness Shock-capturing

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An adaptive Nonhydrostatic Atmospheric Dynamical Core Using a Multi-Moment Constrained Finite Volume Method

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Advances in Atmospheric Sciences 2022年第3期39卷 487-501页

作者： Pei HUANG Chungang CHEN Xingliang LI Xueshun SHEN Feng XIAO State Key Laboratory for Strength and Vibration of Mechanical Structures Xi’an Jiaotong UniversityXi’an 710049China Center of Numerical Weather Prediction China Meteorological AdministrationBeijing 100081China Department of Mechanical Engineering Tokyo Institute of TechnologyTokyo 226-8502Japan

An adaptive 2 D nonhydrostatic dynamical core is proposed by using the multi-moment constrained finite-volume(MCV) scheme and the Berger-Oliger adaptive mesh refinement(AMR) algorithm. The MCV scheme takes several pointwise values within each computational cell as the predicted variables to build high-order schemes based on single-cell reconstruction. Two types of moments, such as the volume-integrated average(VIA) and point value(PV), are defined as constraint conditions to derive the updating formulations of the unknowns, and the constraint condition on VIA guarantees the rigorous conservation of the proposed model. In this study, the MCV scheme is implemented on a height-based, terrainfollowing grid with variable resolution to solve the nonhydrostatic governing equations of atmospheric dynamics. The AMR grid of Berger-Oliger consists of several groups of blocks with different resolutions, where the MCV model developed on a fixed structured mesh can be used directly. Numerical formulations are designed to implement the coarsefine interpolation and the flux correction for properly exchanging the solution information among different blocks. Widely used benchmark tests are carried out to evaluate the proposed model. The numerical experiments on uniform and AMR grids indicate that the adaptive model has promising potential for improving computational efficiency without losing accuracy.

关键词： adaptive mesh refinement multi-moment constrained finite-volume method nonhydrostatic model dynamical core high-order methods

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Numerical simulation and analysis of the underwater implosion of spherical hollow ceramic pressure hulls in 11000 m depth

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Journal of Ocean Engineering and Science 2023年第2期8卷 181-195页

作者： Shengxia Sun Fenghua Chen Min Zhao State Key Laboratory of Ocean Engineering School of Naval ArchitectureOcean and Civil EngineeringCollaborative Innovation Center for Advanced Ship and Deep-Sea ExplorationShanghai Jiao Tong UniversityShanghai 200240China

Pressure hulls play an important role in deep-sea underwater ***,in the ultra-high pressure environment,a highly destructive phenomenon could occur to them which is called *** study the characteristics of the flow field of the underwater implosion of hollow ceramic pressure hulls,the compressible multiphase flow theory,direct numerical simulation,and adaptive mesh refinement are used to numerically simulate the underwater implosion of a single ceramic pressure hull and multiple linearly arranged ceramic pressure ***,the feasibility of the numerical simulation method is ***,the results of the flow field of the underwater implosion of hollow ceramic pressure hulls in 11000 m depth is *** are the compression-rebound processes of the internal air cavity in the *** the rebound stage,a shock wave that is several times the ambient pressure is generated outside the pressure hull,and the propagation speed is close to the speed of *** pressure peak of the shock wave has a negative exponential power function relationship with the distance to the center of the ***,it is found that the obvious superimposed effect between spheres exists in the chain-reaction implosion which enhances the implosion shock wave.

关键词： Underwater implosion 11000 m depth Hollow ceramic pressure hull Compressible multiphase flow adaptive mesh refinement Chain-reaction implosion

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Simulation of violent free surface flow by AMR method

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Journal of Hydrodynamics 2018年第3期30卷 384-389页

作者： Changhong Hu Cheng Liu Research Institute for Applied Mechanics Kyushu University

A novel CFD approach based on adaptive mesh refinement（AMR） technique is being developed for numerical simulation of violent free surface flows. CIP method is applied to the flow solver and tangent of hyperbola for interface capturing with slope weighting（THINC/SW） scheme is implemented as the free surface capturing scheme. The PETSc library is adopted to solve the linear system. The linear solver is redesigned and modified to satisfy the requirement of the AMR mesh topology. In this paper, our CFD method is outlined and newly obtained results on numerical simulation of violent free surface flows are presented.

关键词： adaptive mesh refinement CIP method parallel computation violent free surface flow

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