This paper describes a characteristics-mix finite element method for the computation of incompressible Navi-er-Stokes equations with variable density. We have introduced a mixed scheme which combines a characteristics...This paper describes a characteristics-mix finite element method for the computation of incompressible Navi-er-Stokes equations with variable density. We have introduced a mixed scheme which combines a characteristics finite element scheme for treating the mass conservation equation and a finite element method to deal with the momentum equation and the divergence free constraint. The proposed method has a lot of attractive computational properties: parameter-free, very flexible, and averting the difficulties caused by the original equations. The stability of the method is proved. Finally, several numerical experiments are given to show that this method is efficient for variable density incompressible flows problem.展开更多
The scaled boundary finite element method （SBFEM） is a novel semi-analytical technique combining the advantage of the finite element method （FEM） and the boundary element method （BEM） with its unique properties....The scaled boundary finite element method （SBFEM） is a novel semi-analytical technique combining the advantage of the finite element method （FEM） and the boundary element method （BEM） with its unique properties. In this paper, the SBFEM is used for computing wave passing submerged breakwaters, and the reflection coeffcient and transmission coefficient are given for the case of wave passing by a rectangular submerged breakwater, a rigid submerged barrier breakwater and a trapezium submerged breakwater in a constant water depth. The results are compared with the analytical solution and experimental results. Good agreement is obtained. Through comparison with the results using the dual boundary element method （DBEM）, it is found that the SBFEM can obtain higher accuracy with fewer elements. Many submerged breakwaters with different dimensions are computed by the SBFEM, and the changing character of the reflection coeffcient and the transmission coefficient are given in the current study.展开更多
A two-dimensional numerical model based on the Navier-Stokes equations and computational Lagrangian-Eulerian advection remap-volume of fluid （CLEAR-VOF） method was developed to simulate wave and flow problems. The N...A two-dimensional numerical model based on the Navier-Stokes equations and computational Lagrangian-Eulerian advection remap-volume of fluid （CLEAR-VOF） method was developed to simulate wave and flow problems. The Navier-Stokes equations were discretized with a three-step finite element method that has a third-order accuracy. In the CLEAR-VOF method, the VOF function F was calculated in the Lagrangian manner and allowed the complicated free surface to be accurately captured. The propagation of regular waves and solitary waves over a flat bottom, and shoaling and breaking of solitary waves on two different slopes were simulated with this model, and the numerical results agreed with experimental data and theoretical solutions. A benchmark test of dam-collapse flow was also simulated with an unstructured mesh, and the capability of the present model for wave and flow simulations with unstructured meshes, was verified. The results show that the model is effective for numerical simulation of wave and flow problems with both structured and unstructured meshes.展开更多
An efficient and accurate solution algorithm was proposed for 1-D unsteady flow problems widely existing in hydraulic engineering. Based on the split-characteristic finite element method, the numerical model with the ...An efficient and accurate solution algorithm was proposed for 1-D unsteady flow problems widely existing in hydraulic engineering. Based on the split-characteristic finite element method, the numerical model with the Saint-Venant equations of 1-D unsteady flows was established. The assembled f＇mite element equations were solved with the tri-diagonal matrix algorithm. In the semi-implicit and explicit scheme, the critical time step of the method was dependent on the space step and flow velocity, not on the wave celerity. The method was used to eliminate the restriction due to the wave celerity for the computational analysis of unsteady open-channel flows. The model was verified by the experimental data and theoretical solution and also applied to the simulation of the flow in practical river networks. It shows that the numerical method has high efficiency and accuracy and can be used to simulate 1-D steady flows, and unsteady flows with shock waves or flood waves. Compared with other numerical methods, the algorithm of this method is simpler with higher accuracy, less dissipation, higher computation efficiency and less computer storage.展开更多
This work presents a new application for the Hierarchical Function Expansion Method for the solution of the Navier-Stokes equations for compressible fluids in two dimensions and in high velocity. This method is based ...This work presents a new application for the Hierarchical Function Expansion Method for the solution of the Navier-Stokes equations for compressible fluids in two dimensions and in high velocity. This method is based on the finite elements method using the Petrov-Galerkin formulation, know as SUPG (Streamline Upwind Petrov-Galerkin), applied with the expansion of the variables into hierarchical functions. To test and validate the numerical method proposed as well as the computational program developed simulations are performed for some cases whose theoretical solutions are known. These cases are the following: continuity test, stability and convergence test, temperature step problem, and several oblique shocks. The objective of the last cases is basically to verify the capture of the shock wave by the method developed. The results obtained in the simulations with the proposed method were good both qualitatively and quantitatively when compared with the theoretical solutions. This allows concluding that the objectives of this work are reached.展开更多
在对高压直流(HVDC)输电线路下的电磁环境进行预测时,地面合成场强和离子流密度的计算问题实际上是一个多维非线性问题。在对剖分单元进行处理时,为了解决传统的有限元方法、上流有限元法采取线性假设与线性插值,存在计算量大、精度差...在对高压直流(HVDC)输电线路下的电磁环境进行预测时,地面合成场强和离子流密度的计算问题实际上是一个多维非线性问题。在对剖分单元进行处理时,为了解决传统的有限元方法、上流有限元法采取线性假设与线性插值,存在计算量大、精度差、算法效率低的问题,提出一种新的非线性空间电荷密度插值方法,从理论上推导了算法的实现过程,并基于上流有限元方法对离子电流密度方程进行迭代求解。采用该算法对现场运行的±500 k V和±800 k V输电线路离子流场进行了理论计算与现场实地测量,并将理论计算结果与实际测量结果进行了对比,结果表明:所提出的算法能在减少计算量的同时提高计算的准确度。针对风速对双极离子流场影响的研究较少的情况,研究讨论了不同风速影响下的双极离子流场问题,得到了风速对双极离子流场地面最大合成场强和离子流密度影响的规律,为新的直流输电线路的设计提供了有力的参考。展开更多
特高压直流(UHVDC)输电线路地面离子流场的大小是检验电磁环境是否超标的重要判据,对不同风速条件下的地面离子流场的分布进行了计算研究。针对离子流场的计算,提出一种改进迭代上流有限元方法,建立了考虑风速影响的离子流场模型。研究...特高压直流(UHVDC)输电线路地面离子流场的大小是检验电磁环境是否超标的重要判据,对不同风速条件下的地面离子流场的分布进行了计算研究。针对离子流场的计算,提出一种改进迭代上流有限元方法,建立了考虑风速影响的离子流场模型。研究了不同风速对±800 k V输电线路离子流场分布规律的影响。研究表明,地面最大合成场强和离子流密度随风速的增大而增加明显,且风速会使其发生一定偏移。考虑风速为8 m/s时,地面最大合成场强比无风增加了12.64 k V/m,且地面最大离子流密度是无风时的2.65倍。水平风速越大地面合成场强和离子流密度的分布曲线和峰值往背风向偏移越严重,空间其他较远处的合成场强和电荷密度变化不大,且空间合成场强与电荷密度的最大值主要分布于导线周围空间。展开更多
为了研究气流对消声器传递损失的影响,采用有限元法(finite element method,FEM)和计算流体力学法(computational fluid dynamics,CFD)相结合的方法来解决这种流声耦合问题.以直通穿孔管消声器为例,计算出它们存在气流时的传递损失,并...为了研究气流对消声器传递损失的影响,采用有限元法(finite element method,FEM)和计算流体力学法(computational fluid dynamics,CFD)相结合的方法来解决这种流声耦合问题.以直通穿孔管消声器为例,计算出它们存在气流时的传递损失,并与文献中的实验数据和预测结果进行对比,以验证计算结果的准确性.研究结果表明:当忽略消声器内部气流引起的湍流噪声时,随着气流速度的增加,除了共振峰值处的传递损失显著减小外,多数频率处的传递损失有所增加,尤其是在较高频段内变化较为明显;随着气流温度的增加,传递损失曲线向高频方向移动.展开更多
文摘This paper describes a characteristics-mix finite element method for the computation of incompressible Navi-er-Stokes equations with variable density. We have introduced a mixed scheme which combines a characteristics finite element scheme for treating the mass conservation equation and a finite element method to deal with the momentum equation and the divergence free constraint. The proposed method has a lot of attractive computational properties: parameter-free, very flexible, and averting the difficulties caused by the original equations. The stability of the method is proved. Finally, several numerical experiments are given to show that this method is efficient for variable density incompressible flows problem.
基金This research wasfinanciallysupported bythe National Natural Science Foundation of China(Grant No.50639030)a Programfor Changjiang ScholarsInnovative Research Teamin Dalian University of Technology(Grant No.IRTO420)
文摘The scaled boundary finite element method （SBFEM） is a novel semi-analytical technique combining the advantage of the finite element method （FEM） and the boundary element method （BEM） with its unique properties. In this paper, the SBFEM is used for computing wave passing submerged breakwaters, and the reflection coeffcient and transmission coefficient are given for the case of wave passing by a rectangular submerged breakwater, a rigid submerged barrier breakwater and a trapezium submerged breakwater in a constant water depth. The results are compared with the analytical solution and experimental results. Good agreement is obtained. Through comparison with the results using the dual boundary element method （DBEM）, it is found that the SBFEM can obtain higher accuracy with fewer elements. Many submerged breakwaters with different dimensions are computed by the SBFEM, and the changing character of the reflection coeffcient and the transmission coefficient are given in the current study.
基金supported by the National Natural Science Foundation of China (Grant No. 50679008)
文摘A two-dimensional numerical model based on the Navier-Stokes equations and computational Lagrangian-Eulerian advection remap-volume of fluid （CLEAR-VOF） method was developed to simulate wave and flow problems. The Navier-Stokes equations were discretized with a three-step finite element method that has a third-order accuracy. In the CLEAR-VOF method, the VOF function F was calculated in the Lagrangian manner and allowed the complicated free surface to be accurately captured. The propagation of regular waves and solitary waves over a flat bottom, and shoaling and breaking of solitary waves on two different slopes were simulated with this model, and the numerical results agreed with experimental data and theoretical solutions. A benchmark test of dam-collapse flow was also simulated with an unstructured mesh, and the capability of the present model for wave and flow simulations with unstructured meshes, was verified. The results show that the model is effective for numerical simulation of wave and flow problems with both structured and unstructured meshes.
基金Project supported by the National Nature Science Foundation of China (Grant No.50479068) the Program for New Century Excellent Talents in Universities (Grant No. NCET-04-0494).
文摘An efficient and accurate solution algorithm was proposed for 1-D unsteady flow problems widely existing in hydraulic engineering. Based on the split-characteristic finite element method, the numerical model with the Saint-Venant equations of 1-D unsteady flows was established. The assembled f＇mite element equations were solved with the tri-diagonal matrix algorithm. In the semi-implicit and explicit scheme, the critical time step of the method was dependent on the space step and flow velocity, not on the wave celerity. The method was used to eliminate the restriction due to the wave celerity for the computational analysis of unsteady open-channel flows. The model was verified by the experimental data and theoretical solution and also applied to the simulation of the flow in practical river networks. It shows that the numerical method has high efficiency and accuracy and can be used to simulate 1-D steady flows, and unsteady flows with shock waves or flood waves. Compared with other numerical methods, the algorithm of this method is simpler with higher accuracy, less dissipation, higher computation efficiency and less computer storage.
文摘This work presents a new application for the Hierarchical Function Expansion Method for the solution of the Navier-Stokes equations for compressible fluids in two dimensions and in high velocity. This method is based on the finite elements method using the Petrov-Galerkin formulation, know as SUPG (Streamline Upwind Petrov-Galerkin), applied with the expansion of the variables into hierarchical functions. To test and validate the numerical method proposed as well as the computational program developed simulations are performed for some cases whose theoretical solutions are known. These cases are the following: continuity test, stability and convergence test, temperature step problem, and several oblique shocks. The objective of the last cases is basically to verify the capture of the shock wave by the method developed. The results obtained in the simulations with the proposed method were good both qualitatively and quantitatively when compared with the theoretical solutions. This allows concluding that the objectives of this work are reached.
文摘在对高压直流(HVDC)输电线路下的电磁环境进行预测时,地面合成场强和离子流密度的计算问题实际上是一个多维非线性问题。在对剖分单元进行处理时,为了解决传统的有限元方法、上流有限元法采取线性假设与线性插值,存在计算量大、精度差、算法效率低的问题,提出一种新的非线性空间电荷密度插值方法,从理论上推导了算法的实现过程,并基于上流有限元方法对离子电流密度方程进行迭代求解。采用该算法对现场运行的±500 k V和±800 k V输电线路离子流场进行了理论计算与现场实地测量,并将理论计算结果与实际测量结果进行了对比,结果表明:所提出的算法能在减少计算量的同时提高计算的准确度。针对风速对双极离子流场影响的研究较少的情况,研究讨论了不同风速影响下的双极离子流场问题,得到了风速对双极离子流场地面最大合成场强和离子流密度影响的规律,为新的直流输电线路的设计提供了有力的参考。
文摘特高压直流(UHVDC)输电线路地面离子流场的大小是检验电磁环境是否超标的重要判据,对不同风速条件下的地面离子流场的分布进行了计算研究。针对离子流场的计算,提出一种改进迭代上流有限元方法,建立了考虑风速影响的离子流场模型。研究了不同风速对±800 k V输电线路离子流场分布规律的影响。研究表明,地面最大合成场强和离子流密度随风速的增大而增加明显,且风速会使其发生一定偏移。考虑风速为8 m/s时,地面最大合成场强比无风增加了12.64 k V/m,且地面最大离子流密度是无风时的2.65倍。水平风速越大地面合成场强和离子流密度的分布曲线和峰值往背风向偏移越严重,空间其他较远处的合成场强和电荷密度变化不大,且空间合成场强与电荷密度的最大值主要分布于导线周围空间。
文摘为了研究气流对消声器传递损失的影响,采用有限元法(finite element method,FEM)和计算流体力学法(computational fluid dynamics,CFD)相结合的方法来解决这种流声耦合问题.以直通穿孔管消声器为例,计算出它们存在气流时的传递损失,并与文献中的实验数据和预测结果进行对比,以验证计算结果的准确性.研究结果表明:当忽略消声器内部气流引起的湍流噪声时,随着气流速度的增加,除了共振峰值处的传递损失显著减小外,多数频率处的传递损失有所增加,尤其是在较高频段内变化较为明显;随着气流温度的增加,传递损失曲线向高频方向移动.
