无网格局部彼得洛夫-伽辽金(meshless local Petrov-Galerkin,MLPG)法是一种具有代表性的无网格方法,在计算力学领域得到广泛应用.然而,这种方法在边界上需执行积分运算,通常很难处理不规则求解域问题.为了克服MLPG法的这种局限性,提出...无网格局部彼得洛夫-伽辽金(meshless local Petrov-Galerkin,MLPG)法是一种具有代表性的无网格方法,在计算力学领域得到广泛应用.然而,这种方法在边界上需执行积分运算,通常很难处理不规则求解域问题.为了克服MLPG法的这种局限性,提出了无网格局部强弱(meshless local strong-weak,MLSW)法.MLSW法采用MLPG法离散内部求解域,采用无网格介点(meshless intervention-point,MIP)法施加自然边界条件,并采用配点法施加本质边界条件,避免执行边界积分运算,可适用于求解各类复杂的不规则域问题.从理论上讲,这种结合式方法,既保持了MLPG法稳定而精确计算的优势,同时兼备配点型方法在处理复杂结构问题时简洁而灵活的优势,实现了弱式法和强式法的优势互补.此外,MLSW法采用移动最小二乘核(moving least squares core,MLSc)近似法来构造形函数,是对传统移动最小二乘(moving least squares,MLS)近似法的一种改进.MLSc使用核基函数代替通常的基函数,有利于数值求解的精确性和稳定性,而且其导数近似计算变得更为简单.数值算例结果初步表明:这种新方法实施简单,求解稳定、精确,表现出适合工程运用的潜力.展开更多
To predict complicated three dimensional flow, a modified K-ε turbulence model is derived. The governing equations of turbulent flow over irregular boundary are developed by analyzing the solid-liquid two- phase the...To predict complicated three dimensional flow, a modified K-ε turbulence model is derived. The governing equations of turbulent flow over irregular boundary are developed by analyzing the solid-liquid two- phase theoretical flow model. And a perilal- cell parameter is introduced to treat irregular boundary. It shows curved boundaries and internal obstacles or islands. A simple but powerful method is described that is based on the concept of a fractional volume of fluid (VOF). This method is shown tO be efficient to track complicated free surfaces.It shows that the program established can simulate almost all kinds of turbulent flow in hydraulic engineering.展开更多
The turbulence flow Free Surface has important applications in hydraulic spillways structure, such as the hydraulic jump, energy dissipation flow etc. This is being considered as very complicated flow, and has not yet...The turbulence flow Free Surface has important applications in hydraulic spillways structure, such as the hydraulic jump, energy dissipation flow etc. This is being considered as very complicated flow, and has not yet been solved quite well by numerical method. In this paper, a Large-scale computational software package are developed for numerical laboratory of hydraulic spillway structure. Some methods,such as turbulence model, free surface and irregular boundary treating techniques,scientific computer visualization are put forward and performed.展开更多
A resolved CFD-DEM method is proposed to simulate the fluid-particle interaction for large complex granules.The airflow in a vertical sinter fixed bed is numerically studied using this method.The multi-sphere clumped ...A resolved CFD-DEM method is proposed to simulate the fluid-particle interaction for large complex granules.The airflow in a vertical sinter fixed bed is numerically studied using this method.The multi-sphere clumped method is used to create irregular sinter particles in DEM.The immersed boundary method and dynamic cell refinement are applied to describe the fluid flow around particles with higher resolution,by which the fluid-particle interaction can be simulated more accurately.The simulation results presented the packing voidage distributions and the airflow fields in the sinter beds of different single and mixed particle size ranges.The bed pressure drops were simulated and the results were compared with the corresponding experimental ones.The good agreement indicated that the proposed resolved CFD-DEM method is an effective tool to model the fluid-particle interaction for irregular large granules in the gas-solid multi-phase systems.展开更多
The mapping method is a forward-modeling method that transforms the irregular surface to horizontal by mapping the rectangular grid as curved; moreover, the wave field calculations move from the physical domain to the...The mapping method is a forward-modeling method that transforms the irregular surface to horizontal by mapping the rectangular grid as curved; moreover, the wave field calculations move from the physical domain to the calculation domain. The mapping method deals with the irregular surface and the low-velocity layer underneath it using a fine grid. For the deeper high-velocity layers, the use of a fine grid causes local oversampling. In addition, when the irregular surface is transformed to horizontal, the flattened interface below the surface is transformed to curved, which produces inaccurate modeling results because of the presence of ladder-like burrs in the simulated seismic wave. Thus, we propose the mapping method based on the dual-variable finite-difference staggered grid. The proposed method uses different size grid spacings in different regions and locally variable time steps to match the size variability of grid spacings. Numerical examples suggest that the proposed method requires less memory storage capacity and improves the computational efficiency compared with forward modeling methods based on the conventional grid.展开更多
文摘无网格局部彼得洛夫-伽辽金(meshless local Petrov-Galerkin,MLPG)法是一种具有代表性的无网格方法,在计算力学领域得到广泛应用.然而,这种方法在边界上需执行积分运算,通常很难处理不规则求解域问题.为了克服MLPG法的这种局限性,提出了无网格局部强弱(meshless local strong-weak,MLSW)法.MLSW法采用MLPG法离散内部求解域,采用无网格介点(meshless intervention-point,MIP)法施加自然边界条件,并采用配点法施加本质边界条件,避免执行边界积分运算,可适用于求解各类复杂的不规则域问题.从理论上讲,这种结合式方法,既保持了MLPG法稳定而精确计算的优势,同时兼备配点型方法在处理复杂结构问题时简洁而灵活的优势,实现了弱式法和强式法的优势互补.此外,MLSW法采用移动最小二乘核(moving least squares core,MLSc)近似法来构造形函数,是对传统移动最小二乘(moving least squares,MLS)近似法的一种改进.MLSc使用核基函数代替通常的基函数,有利于数值求解的精确性和稳定性,而且其导数近似计算变得更为简单.数值算例结果初步表明:这种新方法实施简单,求解稳定、精确,表现出适合工程运用的潜力.
文摘To predict complicated three dimensional flow, a modified K-ε turbulence model is derived. The governing equations of turbulent flow over irregular boundary are developed by analyzing the solid-liquid two- phase theoretical flow model. And a perilal- cell parameter is introduced to treat irregular boundary. It shows curved boundaries and internal obstacles or islands. A simple but powerful method is described that is based on the concept of a fractional volume of fluid (VOF). This method is shown tO be efficient to track complicated free surfaces.It shows that the program established can simulate almost all kinds of turbulent flow in hydraulic engineering.
文摘The turbulence flow Free Surface has important applications in hydraulic spillways structure, such as the hydraulic jump, energy dissipation flow etc. This is being considered as very complicated flow, and has not yet been solved quite well by numerical method. In this paper, a Large-scale computational software package are developed for numerical laboratory of hydraulic spillway structure. Some methods,such as turbulence model, free surface and irregular boundary treating techniques,scientific computer visualization are put forward and performed.
基金the financial support for this work from the National Natural Science Foundation of China(grant No.52104340)China Postdoctoral Science Foundation(grant No.2020M672425)+1 种基金The Key Research and Development Program of Hubei Province(grant No.2022BCA058)Natural Science Foundation of Hubei Province(grant No.2020CFB133).
文摘A resolved CFD-DEM method is proposed to simulate the fluid-particle interaction for large complex granules.The airflow in a vertical sinter fixed bed is numerically studied using this method.The multi-sphere clumped method is used to create irregular sinter particles in DEM.The immersed boundary method and dynamic cell refinement are applied to describe the fluid flow around particles with higher resolution,by which the fluid-particle interaction can be simulated more accurately.The simulation results presented the packing voidage distributions and the airflow fields in the sinter beds of different single and mixed particle size ranges.The bed pressure drops were simulated and the results were compared with the corresponding experimental ones.The good agreement indicated that the proposed resolved CFD-DEM method is an effective tool to model the fluid-particle interaction for irregular large granules in the gas-solid multi-phase systems.
基金financially supported by the National Natural Science Foundation of China(Nos.41104069 and 41274124)the National 973 Project(Nos.2014CB239006 and 2011CB202402)+1 种基金the Shandong Natural Science Foundation of China(No.ZR2011DQ016)Fundamental Research Funds for Central Universities(No.R1401005A)
文摘The mapping method is a forward-modeling method that transforms the irregular surface to horizontal by mapping the rectangular grid as curved; moreover, the wave field calculations move from the physical domain to the calculation domain. The mapping method deals with the irregular surface and the low-velocity layer underneath it using a fine grid. For the deeper high-velocity layers, the use of a fine grid causes local oversampling. In addition, when the irregular surface is transformed to horizontal, the flattened interface below the surface is transformed to curved, which produces inaccurate modeling results because of the presence of ladder-like burrs in the simulated seismic wave. Thus, we propose the mapping method based on the dual-variable finite-difference staggered grid. The proposed method uses different size grid spacings in different regions and locally variable time steps to match the size variability of grid spacings. Numerical examples suggest that the proposed method requires less memory storage capacity and improves the computational efficiency compared with forward modeling methods based on the conventional grid.
