In this paper, the complex variable reproducing kernel particle （CVRKP） method and the finite element （FE） method are combined as the CVRKP-FE method to solve transient heat conduction problems. The CVRKP-FE metho...In this paper, the complex variable reproducing kernel particle （CVRKP） method and the finite element （FE） method are combined as the CVRKP-FE method to solve transient heat conduction problems. The CVRKP-FE method not only conveniently imposes the essential boundary conditions, but also exploits the advantages of the individual methods while avoiding their disadvantages, then the computational efficiency is higher. A hybrid approximation function is applied to combine the CVRKP method with the FE method, and the traditional difference method for two-point boundary value problems is selected as the time discretization scheme. The corresponding formulations of the CVRKP-FE method are presented in detail. Several selected numerical examples of the transient heat conduction problems are presented to illustrate the performance of the CVRKP-FE method.展开更多
结合有限元离散元方法(finite-discrete element method,FDEM),对计算流体力学(computational fluid dynamics,CFD)软件FLOW-3D进行二次开发,建立了基于CFD-DEM的流固耦合模型,模拟了多块石入水、沉降以及触底的动力过程,分析了不同块...结合有限元离散元方法(finite-discrete element method,FDEM),对计算流体力学(computational fluid dynamics,CFD)软件FLOW-3D进行二次开发,建立了基于CFD-DEM的流固耦合模型,模拟了多块石入水、沉降以及触底的动力过程,分析了不同块石等效直径、形状和入水速度对触底速度和反力的影响。研究发现,块石入水后速度迅速减小,并逐渐趋于定值,随后做动态平衡沉降运动,直至与底面发生碰撞。块石抛填的触底速度随等效直径的增大而增大,不同等效直径下球形块石触底速度绝对值最大,其次是纺锤形块石,最小为圆盘形块石。最大触底反力也随等效直径的增大而增大,成非线性关系,通过拟合得到了触底反力的经验公式。显著性分析结果表明,块石等效直径对触底反力影响最大,其次是块石形状,最小为入水速度。展开更多
针对声学边界元法中解的非唯一性和奇异积分问题,基于组合亥姆霍兹积分方程公式(combined helmholtz integral equation formulation,CHIEF)法思想,将常规边界元方程和等效源方程进行联立,并利用两者方程系数矩阵间的耦合等价关系,间接...针对声学边界元法中解的非唯一性和奇异积分问题,基于组合亥姆霍兹积分方程公式(combined helmholtz integral equation formulation,CHIEF)法思想,将常规边界元方程和等效源方程进行联立,并利用两者方程系数矩阵间的耦合等价关系,间接替换计算常规边界元法中的奇异系数矩阵,进而提出一种具有全频域唯一解、高计算精度和高稳定性的耦合CHIEF法。该方法将等效源方程作为补充方程,不仅解决了传统CHIEF法内点补充方程失效的问题,而且矩阵的间接替换计算避免了直接计算奇异积分,显著提高了计算效率和精度。通过声辐射和声散射的典型算例对比了所提方法、常规边界元法、常规Burton-Miller法和等效源法的计算效果。结果表明,所提方法不仅在全波数域内均能获得唯一解,且其计算精度和效率均优于常规边界元法和常规Burton-Miller方法,其系数矩阵条件数远低于等效源法。展开更多
基金Project supported by the National Natural Science Foundation of China (Grant No. 11171208)the Special Fund for Basic Scientific Research of Central Colleges of Chang’an University, China (Grant No. CHD2011JC080)
文摘In this paper, the complex variable reproducing kernel particle （CVRKP） method and the finite element （FE） method are combined as the CVRKP-FE method to solve transient heat conduction problems. The CVRKP-FE method not only conveniently imposes the essential boundary conditions, but also exploits the advantages of the individual methods while avoiding their disadvantages, then the computational efficiency is higher. A hybrid approximation function is applied to combine the CVRKP method with the FE method, and the traditional difference method for two-point boundary value problems is selected as the time discretization scheme. The corresponding formulations of the CVRKP-FE method are presented in detail. Several selected numerical examples of the transient heat conduction problems are presented to illustrate the performance of the CVRKP-FE method.
文摘结合有限元离散元方法(finite-discrete element method,FDEM),对计算流体力学(computational fluid dynamics,CFD)软件FLOW-3D进行二次开发,建立了基于CFD-DEM的流固耦合模型,模拟了多块石入水、沉降以及触底的动力过程,分析了不同块石等效直径、形状和入水速度对触底速度和反力的影响。研究发现,块石入水后速度迅速减小,并逐渐趋于定值,随后做动态平衡沉降运动,直至与底面发生碰撞。块石抛填的触底速度随等效直径的增大而增大,不同等效直径下球形块石触底速度绝对值最大,其次是纺锤形块石,最小为圆盘形块石。最大触底反力也随等效直径的增大而增大,成非线性关系,通过拟合得到了触底反力的经验公式。显著性分析结果表明,块石等效直径对触底反力影响最大,其次是块石形状,最小为入水速度。
文摘针对声学边界元法中解的非唯一性和奇异积分问题,基于组合亥姆霍兹积分方程公式(combined helmholtz integral equation formulation,CHIEF)法思想,将常规边界元方程和等效源方程进行联立,并利用两者方程系数矩阵间的耦合等价关系,间接替换计算常规边界元法中的奇异系数矩阵,进而提出一种具有全频域唯一解、高计算精度和高稳定性的耦合CHIEF法。该方法将等效源方程作为补充方程,不仅解决了传统CHIEF法内点补充方程失效的问题,而且矩阵的间接替换计算避免了直接计算奇异积分,显著提高了计算效率和精度。通过声辐射和声散射的典型算例对比了所提方法、常规边界元法、常规Burton-Miller法和等效源法的计算效果。结果表明,所提方法不仅在全波数域内均能获得唯一解,且其计算精度和效率均优于常规边界元法和常规Burton-Miller方法,其系数矩阵条件数远低于等效源法。
