High order accurate weighted essentially non-oscillatory ( WENO) schemes are investigated and their applications of scalar conservation laws are discussed. 研究高阶精度加权本质无振荡(WENO)格式及其在标量守恒律方程中的应用。
A Class of Non-oscillatory Dissipative Difference Schemes for Solving Hamilton-Jacobi Equations 求解Hamilton-Jacobi方程的一类无波动的耗散差分格式
We generalize Non-oscillatory, Non-free parameter Discrete scheme ( NND) for the first time and apply it to the conservative form of MHD equations. 首次推广了无振荡、无自由参数格式(NND),把它应用于守恒形式的MHD方程组。
Research of Weighted Essential Non-Oscillatory Schemes 加权基本无振荡格式研究进展
In this paper, a mathematical model for simulating dam-break flows was set up based on the WENO ( Weighted Essentially Non-Oscillatory) scheme, by which the process of flood wave movement caused by sudden dam-break was simulated. 应用高精度加权本质无振荡(WENO)格式构造了溃坝水流计算的数学模型,模拟了坝体瞬间全溃时洪水波的运动过程,并将计算值与理论解进行了比较。
Based on non-uniform grid, we constructed a second-order essentially non-oscillatory finite difference scheme. 直接基于非均匀网格上,构造了一个二阶的基本无振荡(ENO)差分格式。
A high-resolution method for solving one-dimensional shallow water equations is presented by combing the semi-discrete central-upwind numerical flux with the third-order weighted essentially non-oscillatory ( WENO) reconstruction. 将半离散中心迎风数值通量和三阶WENO重构结合起来,由此得到了一种求解一维浅水方程的高分辨率数值方法。
The numerical results show that the present PFD scheme of NS equations has higher order accurate and better resolution than the first-order accurate upwind scheme does, and can remain the essentially non-oscillatory property. 数值比较研究表明:本文构造的NS方程摄动有限差分格式具有比一阶迎风较高的精度和分辨率,而且保持了一阶迎风格式的无振荡性质。
The scheme is based on central weighted essentially non-oscillatory ( WENO) reconstruction for one space dimension. 对一维问题,该格式以四阶中心WENO重构为基础;对二维问题,用逐维计算的方法将四阶中心WENO重构进行了推广。
The TVD conditions of finite difference schemes are interpreted on geometrical views for hyperbolic equations, and from it the non-oscillatory conditions are derived for conventional second-order schemes. 从几何观点解释了双曲型方程差分格式的TVD条件,导出了常用二阶差分格式的无振荡条件,发展了一种具有时空三阶精度的无振荡选取NOS差分格式。
An implicit LU-SGS scheme was applied for time stepping in pseudo time domains, and the convection items were discretized with the spatial three-order and weighted non-oscillatory and non-free-( parameter) dissipation difference ( WNND) scheme. 在虚拟时间步上用LU-SGS隐式方法做时间推进,对流项采用空间三阶的加权无波动无自由参数耗散差分(WNND)格式离散。
Numerical simulation of two-dimensional dam-break flow based on weighted essential non-oscillatory schemes 基于加权本质无振荡格式的二维溃坝水流数值模拟
The scheme is based on a third-order non-oscillatory reconstruction proposed by Liu and Tadmor. The local speed of wave propagation is also considered. 该格式以Liu和Tadmor提出的三阶无振荡重构为基础,同时考虑了波传播的单侧局部速度。
Non-oscillatory and Non-free parameter Dissipation ( NND) difference scheme was used to calculate three dimensional nozzle flows. 本文运用NND显式差分格式,计算了三维喷管气流场。
The non-oscillatory antiferromagnetic behavior which is unlike that in multilayer systems is found in the RKKY-type interaction between magnetic granules, via the conduction electrons. 在磁性颗粒间通过传导电子的RKKY相互作用,发现了不像多层膜系统那样的非振荡的反铁磁性现象.由偶极相互作用的退磁效应显示出与简单超顺磁行为的偏差。
This thesis is concerned with the non-oscillatory numerical method for Hamilton-Jacobi equations on unstructured meshes. Finite volume schemes and the local adaptive refinement method are included in this thesis. 本文主要讨论了非结构网格上解Hamilton-Jacobi方程的无振荡有限体积方法和局部自适应加密方法。
Investigation and Application of One-Dimensional High Order ENO ( Essentially Non-Oscillatory) Schemes 一维高阶ENO格式的应用研究
Based on the third-order central weighted essentially non-oscillatory ( CWENO) reconstruction, a high-resolution semi-discrete central-upwind difference scheme for solving the 2-D shallow water equations is presented by using the dimension-by-dimension approach. 以三阶中心加权本质无振荡重构为基础,采用一维一维进行计算的方法,给出了求解二维浅水方程的高分辨率三阶半离散中心迎风格式。
Experimental results demonstrate effectiveness of the combination of weighted essentially non-oscillatory schemes and wiener algorithm. 试验结果显示权基本无振荡格式和维纳算法的联合方法的有效性。
A Study of Biorthogonal Wavelet Transforms Based on Essentially Non-Oscillatory in Image Compression 基于EssentiallyNon-Oscillatory方法的双正交小波变换图像压缩研究
The numerical simulation was based on an Non-Oscillatory and Non-Free Parameters Dissipation Difference ( NND) scheme to solve the three-dimensional Navier-Stokes equations, and the cold flow experimental studies using air were performed to evaluate the nozzle performances. 数值模拟采用无波动、无自由函数耗散(NND)差分格式求解三维NS方程,利用空气冷流实验方法评价了喷管性能。
Non-oscillatory adaptive local refinement methods for solving Hamilton-Jacobi equations 解Hamilton-Jacobi方程的无振荡局部加密方法
Weighted essentially non-oscillatory schemes are described in detail for a total variation-based image restoration problem with Gaussian kernel at different boundary conditions. 详细描述权基本无振荡格式解决基于全变分方法的图像恢复问题,考虑高斯核和不同的边界条件。
Y type and S type dual-path SAW mass sensors have been tested and analysed in detail. Their frequency domain characteristics and time domain characteristics have been tested under non-oscillatory mode. 本文对Y型和S型双声路SAW质量传感器件传输特性进行详细测试分析,在非振浙江大学博士学位论文荡模式下测试了Y型和S型双声路SAw器件的频域特性和时域特性;
In this paper, we develop the high-order accurate essentially non-oscillatory ( ENO) schemes on one and two-dimensional structured meshes in the finite volume formulation, and discuss their applications in hyperbolic conservation laws. 本文构造了一维、二维结构网格中的高阶精度基本无振荡(ENO)有限体积格式,并且讨论了它在双曲守恒型方程中的应用。
Non-oscillatory and non-free-parameters dissipative finite difference scheme with second accuracy was used to solve Navier-Stokes equations coupled with electromagnetism and chemical reaction source terms, and finite control volume integral method was applied to solve electromagnetic equation derived from Maxwell's equations. 采用二阶精度NND格式数值求解耦合电磁源项和化学反应源项的NS方程组,采用有限控制容积积分方法求解由麦克斯韦方程组推导出的电磁场方程。
The effect of exit-guide-vane circumferential layout to upstream flow field has been investigated by numerical approach in which a high resolution non-oscillatory scheme coupled with LU-SGS method is used. 应用高精度无波动格式结合LU-SGS求解方法,研究了下游支板对上游流场的影响。
Numerical results with three methods ( weighted essentially non-oscillatory schemes, wiener algorithm and a combination of them) are compared. 采用权基本无振荡格式、维纳算法、权基本无振荡格式和维纳算法的联合三种方法对恢复问题进行数值试验,并对结果进行比较。
By using the ENO philosophy on unstructured meshes in chapter 4, we construct the non-oscillatory numerical schemes with high order accuracy on structured meshes. The local adaptive refinement method is developed for local regions where the solutions of the Hamilton-Jacobi equations vary sharply. 借助于前一章的非结构网格上解Hamilton-Jacobi方程的ENO思想,构造结构网格上的无振荡数值格式,并研究与这种格式相匹配的自适应局部加密方法。
Considering the reasons aforementioned, the following work has been done in this thesis: 1. In chapter 2, we construct a class of non-oscillatory finite volume method for hyperbolic conservation laws on unstructured meshes. 鉴于上述讨论,本文做了如下工作:1.在第二章,本文构造出了一个非结构网格上求解双曲型守恒律方程的非振荡有限体积方法。