共查询到20条相似文献,搜索用时 185 毫秒
1.
多块对接网格技术在电磁场散射问题中的应用 总被引:2,自引:0,他引:2
采用多块对接网格技术和时域有限体积法(FVTD)研究了典型目标和多体的电磁场散射问题.控制方程采用三维一般曲线坐标系下的时变麦克斯韦方程组.时间方向采用四步Runge-Kutta方法,空间离散采用基于通量雅可比矩阵特征结构的通矢量差分分裂,依赖变量采用MUSCL插值.时间方向的计算精度为2阶,空间方向的计算精度可达3阶.典型算例的雷达散射截面(RCS)的计算结果与理论解吻合很好.对于多体问题计算与文献结果相当一致,说明该算法具有对复杂拓扑结构外形(包括多体问题)进行数值模拟的能力. 相似文献
2.
3.
4.
5.
6.
提出一种数值模拟凝聚炸药爆轰问题的单元中心型Lagrange方法.利用有限体积离散爆轰反应流动方程组,基于双曲型偏微分方程组的特征理论获得离散网格节点的速度与压力,获得的网格节点速度与压力用于更新网格节点位置以及计算网格单元边的数值通量.以这种方式获得的网格节点解是一种"真正多维"的理论解,是一维Godunov格式在二维Riemann问题的推广.有限体积离散得到的爆轰反应流动的半离散系统使用一种显-隐Runge-Kutta格式来离散求解:显式格式处理对流项,隐式格式处理化学反应刚性源项.算例表明,提出的单元中心型Lagrange方法能够较好地模拟凝聚炸药的爆轰反应流动. 相似文献
7.
8.
9.
讨论一维和二维非线性Schr(o)dinger (NLS)方程的数值求解.基于扩散广义黎曼问题的数值流量,构造一种直接间断Galerkin方法(DDG)求解非线性Schr(o)dinger方程.证明该方法L2稳定性,并说明DDG格式是一种守恒的数值格式.对一维NLS方程的计算表明,DDG格式能够模拟各种孤立子形态,而且可以保持长时间的高精度.二维NLS方程的数值结果显示该方法的高精度和捕捉大梯度的能力. 相似文献
10.
11.
12.
求解跨音速粘性流反问题的有限体积法 总被引:3,自引:0,他引:3
1前言叶轮机械气动热力学研究的最终目的之一,是为工程师提供可用以设计高性能、高效率叶轮机械的思想与方法。而在过去叶轮机械气动热力学的研究大都集中求解正问题上,即在给定几何形状的叶片的条件下来求解流场上的气动参数。因此,为了设计出高性能的叶型,通常是凭设计者的经验,通过试验或正问题流场的分析计算,对一系列几何形状相差不大的叶型进行筛选。用这种方法是非常耗时并导致昂贵的设计费用,而且这样也并不总能得到预期的效果。所以,正问题计算虽然在预测性能和筛选试验方案等方面具有重要价值,但对于叶栅设计,应该具有… 相似文献
13.
Cell Conservative Flux Recovery and a Posteriori Error Estimate of Vertex-Centered Finite Volume Methods 下载免费PDF全文
Long Chen & Ming Wang 《advances in applied mathematics and mechanics.》2013,5(5):705-727
A cell conservative flux recovery technique is developed here for vertex-centered
finite volume methods of second order elliptic equations.
It is based on solving a local Neumann problem on each control volume using mixed
finite element methods. The recovered flux is used to
construct a constant free a posteriori error estimator which is proven to be
reliable and efficient. Some numerical tests are presented
to confirm the theoretical results. Our method works for general order finite volume
methods and the recovery-based and residual-based
a posteriori error estimators are the first result on
a posteriori error estimators for high
order finite volume methods. 相似文献
14.
15.
A new geometrically conservative arbitrary Lagrangian–Eulerian (ALE) formulation is presented for the moving boundary problems in the swirl-free cylindrical coordinates. The governing equations are multiplied with the radial distance and integrated over arbitrary moving Lagrangian–Eulerian quadrilateral elements. Therefore, the continuity and the geometric conservation equations take very simple form similar to those of the Cartesian coordinates. The continuity equation is satisfied exactly within each element and a special attention is given to satisfy the geometric conservation law (GCL) at the discrete level. The equation of motion of a deforming body is solved in addition to the Navier–Stokes equations in a fully-coupled form. The mesh deformation is achieved by solving the linear elasticity equation at each time level while avoiding remeshing in order to enhance numerical robustness. The resulting algebraic linear systems are solved using an ILU(k) preconditioned GMRES method provided by the PETSc library. The present ALE method is validated for the steady and oscillatory flow around a sphere in a cylindrical tube and applied to the investigation of the flow patterns around a free-swimming hydromedusa Aequorea victoria (crystal jellyfish). The calculations for the hydromedusa indicate the shed of the opposite signed vortex rings very close to each other and the formation of large induced velocities along the line of interaction while the ring vortices moving away from the hydromedusa. In addition, the propulsion efficiency of the free-swimming hydromedusa is computed and its value is compared with values from the literature for several other species. 相似文献
16.
提出了一种求解非紧凑低马赫数运动边界散射流动诱发噪声的预测方法。该方法首先基于运动坐标系下的连续性方程和动量方程推导得到该坐标系下的波动方程及其积分解,然后在该坐标系下采用边界元方法求解得到非紧凑运动边界表面的声压,最后将求解得到的壁面声压回代到静止或运动坐标系下的积分方程中实现对远场噪声的预测。推导得到的积分方程适用于流体与飞机机身、高速列车车身及旋转叶片等非紧凑结构边界作用诱发噪声的预测。 相似文献
17.
18.
纵向受迫振荡圆柱绕流问题的数值模拟 总被引:2,自引:0,他引:2
用有限体积法对平行于均匀来流方向受迫振荡的圆柱绕流问题进行了二维数值模拟.雷诺数选取Re=200、855、4000等几种亚临界雷诺数情况.通过研究不同振幅和振动频率下的流场结构和一些重要流动参数如升阻力系数、Strouhal数等随Re数、KC数、Stokes数的变化关系,验证了实验中观察到的一定条件下发生的"频率锁定"现象,并将涡脱落方式划分为三种主要模态.文中引入网格速度,对常用的处理速度与压力耦合的SIMPLE算法作了适当的补充和修改,以适应随时间变化的网格坐标. 相似文献
19.
研究了在渗透系数相差不大的渗流场中椭圆型偏微分方程的系数反问题,通过把CT技术中的Radon变换推广到渗流力学中,给出了渗透系数的计算方法和实例。 相似文献
20.
Luciano Gonç alves Noleto Manuel N. D. Barcelos Jr. & Antonio C. P. Brasil Jr. 《advances in applied mathematics and mechanics.》2013,5(2):194-211
This work presents a moving mesh methodology based on the solution
of a pseudo flow problem. The mesh motion is modeled as a pseudo Stokes
problem solved by an explicit finite element projection method. The mesh
quality requirements are satisfied by employing a null divergent velocity
condition. This methodology is applied to triangular unstructured meshes
and compared to well known approaches such as the ones based on diffusion
and pseudo structural problems. One of the test cases is an airfoil with
a fully meshed domain. A specific rotation velocity is imposed as the
airfoil boundary condition. The other test is a set of two cylinders
that move toward each other. A mesh quality criterion is employed to
identify critically distorted elements and to evaluate the performance
of each mesh motion approach. The results obtained for each test case
show that the pseudo-flow methodology produces satisfactory meshes
during the moving process. 相似文献