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A Corrected Solid boundary treatment Method for Smoothed Particle Hydrodynamics

China Ocean Engineering 2017年第2期31卷 238-247页

作者： CHEN Yun-sai ZHENG Xing JIN Shan-qin DUAN Wen-yang College of Shipbuilding Engineering Harbin Engineering University Harbin 150001 China Department of Technology National Deep Sea Center Qingdao 266061 China

Smoothed Particle Hydrodynamics method （SPFI） has a good adaptability for simulating of free surface flow problems. However, there are some shortcomings of SPH which are still in open discussion. This paper presents a corrected solid boundary handling method for weakly compressible SPH. This improved method is very helpful for numerical stability and pressure distribution. Compared with other solid boundary handling methods, this corrected method is simpler for virtual ghost particle interpolation and the ghost particle evaluation relationship is clearer. Several numerical tests are given, like dam breaking, solitary wave impact and sloshing tank waves. The results show that the corrected solid boundary processing method can recover the spurious oscillations of pressure distribution when simulating the problems with complex geometry boundary.

关键词： SPH particle arrangement boundary treatment solitary wave impact sloshing wave

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Inverse Lax-Wendroff boundary treatment: a Survey

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Communications in Mathematical Research 2022年第3期38卷 333-350页

作者： Chi-Wang Shu Division of Applied Mathematics Brown UniversityProvidenceRI 02912USA.

The inverse Lax-Wendroff(ILW)procedure is a numerical boundary treatment technique,which allows finite difference schemes and other schemes to achieve stability and high order accuracy when using cartesian meshes to solve boundary value problems defined on complex computational *** this short survey we summarize the main ingredients of the ILW procedure,discuss its applicability and stability properties,and provide possible directions of its future development.

关键词： Inverse Lax-Wendroff procedure boundary treatment high order accuracy stability complexgeometry

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Airfoil design optimization based on lattice Boltzmann method and adjoint approach

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Applied Mathematics and Mechanics(English Edition) 2018年第6期39卷 891-904页

作者： Xiaowei LI Liang FANG Yan PENG Research Institute of Unmanned Surface Vehicles Engineering Shanghai University Shanghai Institute of Applied Mathematics and Mechanics Shanghai University

We present a new aerodynamic design method based on the lattice Boltzmann method （LBM） and the adjoint approach. The flow field and the adjoint equation are numerically simulated by the GILBM （generalized form of interpolation supplemented LBM） on non-uniform meshes. The first-order approximation for the equilibrium dis- tribution function on the boundary is proposed to diminish the singularity of boundary conditions. Further, a new treatment of the solid boundary in the LBM is described par- ticularly for the airfoil optimization design problem. For a given objective function, the adjoint equation and its boundary conditions are derived analytically. The feasibility and accuracy of the new approach have been perfectly validated by the design optimization of NACA0012 airfoil.

关键词： lattice Boltzmann method (LBM) adjoint approach boundary treatment aerodynamic design optimization

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Application of Smoothed Particle Hydrodynamics(SPH)for the Simulation of Flow-Like Landslides on 3D Terrains

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Computer Modeling in Engineering & Sciences 2023年第4期135卷 357-376页

作者： Binghui Cui Liaojun Zhang College of Civil and Transportation Engineering Hohai UniversityNanjing210000China College ofWater Conservancy and Hydropower Engineering Hohai UniversityNanjing210000China

Flow-type landslide is one type of landslide that generally exhibits characteristics of high flow velocities,long jump distances,and poor *** of its propagation process can provide solutions for risk assessment and mitigation *** smoothed particle hydrodynamics(SPH)method has been successfully applied to the simulation of two-dimensional(2D)and three-dimensional(3D)flow-like ***,the influence of boundary resistance on the whole process of landslide failure is rarely *** this study,a boundary condition considering friction is proposed and integrated into the SPH method,and its accuracy is ***,the Navier-Stokes equation combined with the non-Newtonian fluid rheologymodel was utilized to solve the dynamic behavior of the flow-like *** verify its performance,the Shuicheng landslide event,which occurred in Guizhou,China,was taken as a case *** the 2D simulation,a sensitivity analysis was conducted,and the results showed that the shearing strength parameters have more influence on the computation accuracy than the coefficient of ***,the dynamic characteristics of the landslide,such as the velocity and the impact area,were analyzed in the 3D *** simulation results are in good agreement with the field *** simulation results demonstrate that the SPH method performs well in reproducing the landslide process,and facilitates the analysis of landslide characteristics as well as the affected areas,which provides a scientific basis for conducting the risk assessment and disaster mitigation design.

关键词： Flow-like landslides smoothed particle hydrodynamics non-Newtonian fluid boundary treatment

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Bridging Methods for Atomistic-to-Continuum Coupling and Their Implementation

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Communications in Computational Physics 2010年第4期7卷 831-876页

作者： Pablo Seleson Max Gunzburger Department of Scientific Computing Florida State UniversityTallahasseeFL 32306-4120USA

Several issues connected with bridging methods for atomistic-to-continuum(AtC)coupling are *** coupling approaches using various energy blending models are studied as well as the influence that model parameters,blending functions,and grids have on simulation *** use the Lagrange multiplier method for enforcing constraints on the atomistic and continuum displacements in the bridge *** also show that continuum models are not appropriate for dealing with problems with singular loads,whereas AtC bridging methods yield correct results,thus justifying the need for a multiscale *** investigate models that involve multiple-neighbor interactions in the atomistic region,particularly focusing on a comparison of several approaches for dealing with Dirichlet boundary conditions.

关键词： Multiscale modeling atomistic-to-continuum coupling boundary treatment

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