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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dispersion Analysis of CIP–FEM for Helmholtz Equation
亥姆霍兹方程 CIP-FEM 色散分析
2023/4/24
When solving the Helmholtz equation numerically, the accuracy of numerical solution deteriorates as the wave number k increases, known as `pollution effect' which is directly related to the phase diff...
近日，中国科学院空间科学与应用研究中心空间天气国家重点实验室科研人员燕广庆等及时追踪了THEMIS卫星的观测资料并进行了细致分析，获取了行星际磁场南向期间Kelvin-Helmholtz涡旋的难得观测证据，进一步通过卫星观测事实证明了在行星际磁场南向期间也可以发生具有规则周期性的Kelvin-Helmholtz涡旋，客观地打破了Kelvin-Helmholtz涡旋只能在行星际磁场北向条件下发生的传...
正演是电磁法勘探野外工作参数选取、室内资料处理与解释的基础，精确、稳定、高效的三维正演算法尤为重要.本文采取先求解拉普拉斯域电场、再由Gaver-Stehfest算法获得时间域磁场的思路，基于电场异常场Helmholtz方程实现了交错网格有限差分法和有限体积法对回线源瞬变电磁法的三维正演.通过对比低阻块状体的积分方程法、时域有限差分法、矢量有限单元法和SLDM法的数值解，验证了交错网格有限差分法和...
On direct inverse of Stokes, Helmholtz and Laplacian operators in view of time-stepper-based Newton and Arnoldi solvers in incompressible CFD
Stoke Helmholtz Laplacian operators time-stepper-based Newton Arnoldi solvers incompressible CFD
2011/8/4
Abstract: Factorization of the incompressible Stokes operator linking pressure and velocity is revisited. The main purpose is to use the inverse of the Stokes operator with a large time step as a prec...
WENO有限差分格式有较高的分辨精度，适合复杂流场的计算，在国际上被广泛采用。本文利用WENO有限差分格式求解2维守恒型欧拉方程，实现了对无粘流体中Kelvin-Helmholtz不稳定性的数值模拟。速度剪切方向采用周期边界条件；扰动增长方向采用嵌边出流边界条件，一个不稳定波长分布64个网格。数值模拟给出的扰动幅值线性增长率与线性稳定性分析给出的结果很好符合，显示了该格式的有效性和精度。数值模拟给...
New Exact Jacobi Elliptic Function Solutions of Three-Dimensional Nonlinear Helmholtz Equation
in a Nonlinear Kerr-Type Medium
Jacobi elliptic function solution Helmholtz
equation nonlinear Kerr-type medium
2007/8/15
2002Vol.38No.6pp.657-659DOI:
New Exact Jacobi Elliptic Function Solutions of Three-Dimensional Nonlinear Helmholtz Equation
in a Nonlinear Kerr-Type Medium
YANG Yong1 and YAN Zhe...
On the MHD Boundary of Kelvin-Helmholtz Stability Diagram at Large Wavelengths
the MHD Boundary Kelvin-Helmholtz Stability Diagram Large Wavelengths
2010/10/27
Working within the domain of inviscid incompressible MHD theory, we found that a tangential discontinuity (TD) separating two uniform regions of different density, velocity and magnetic field may be K...