针对传统的基本解方法求解二维Stokes问题时,基本解矩阵病态程度高的问题,提出一个具有双重虚拟边界的基本解方法(method of fundamental solution,MFS)。基于Laplace分解,Stokes问题被转化成3个Laplace方程,进而使用具有双重虚拟边界...针对传统的基本解方法求解二维Stokes问题时,基本解矩阵病态程度高的问题,提出一个具有双重虚拟边界的基本解方法(method of fundamental solution,MFS)。基于Laplace分解,Stokes问题被转化成3个Laplace方程,进而使用具有双重虚拟边界的基本解方法求解该Laplace方程组。对应地,这3个Laplace方程的数值解被表示成源点位于2个虚拟边界上的基本解的线性组合。利用在实际边界上的边界配置点处,方程组所要满足的边界条件,得到未知系数。数值实验表明:数值解是高度准确的,与精确解相比,误差约为10-6~10-5,通过在边界上添加噪音,数值解的稳定性得到了验证;与基本解方法相比,具有双重虚拟边界的基本解方法显著地降低了基本解矩阵的条件数。展开更多
Introduction Computation of compressible Navier-Stokes equations have been the subject of quite intensive efforts these last years. One of the main motivation of this fact is the computer designof advanced aircrafts, ...Introduction Computation of compressible Navier-Stokes equations have been the subject of quite intensive efforts these last years. One of the main motivation of this fact is the computer designof advanced aircrafts, space vchicles and turbomachinery. However, solving the compressiblc Navier-Stokes equations are the most difficult task. It needs high speed and large space computer, suppercomputer.展开更多
numerical method for 2D-unsteady fluid flow is proposed in this paper,which is based on the common lagrange quadrilateral grid (primary grid) andreconstructed a series of secondary grid. The computational scheme on tw...numerical method for 2D-unsteady fluid flow is proposed in this paper,which is based on the common lagrange quadrilateral grid (primary grid) andreconstructed a series of secondary grid. The computational scheme on two-seriesgrid can resist effectively the intersection of grid.展开更多
文摘针对传统的基本解方法求解二维Stokes问题时,基本解矩阵病态程度高的问题,提出一个具有双重虚拟边界的基本解方法(method of fundamental solution,MFS)。基于Laplace分解,Stokes问题被转化成3个Laplace方程,进而使用具有双重虚拟边界的基本解方法求解该Laplace方程组。对应地,这3个Laplace方程的数值解被表示成源点位于2个虚拟边界上的基本解的线性组合。利用在实际边界上的边界配置点处,方程组所要满足的边界条件,得到未知系数。数值实验表明:数值解是高度准确的,与精确解相比,误差约为10-6~10-5,通过在边界上添加噪音,数值解的稳定性得到了验证;与基本解方法相比,具有双重虚拟边界的基本解方法显著地降低了基本解矩阵的条件数。
文摘Introduction Computation of compressible Navier-Stokes equations have been the subject of quite intensive efforts these last years. One of the main motivation of this fact is the computer designof advanced aircrafts, space vchicles and turbomachinery. However, solving the compressiblc Navier-Stokes equations are the most difficult task. It needs high speed and large space computer, suppercomputer.
文摘numerical method for 2D-unsteady fluid flow is proposed in this paper,which is based on the common lagrange quadrilateral grid (primary grid) andreconstructed a series of secondary grid. The computational scheme on two-seriesgrid can resist effectively the intersection of grid.
