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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dispersive estimates for the inviscid rotating stratified Boussinesq equations in the stratification-dominant three-scale limit
三尺度极限 无粘性旋转分层 Boussinesq方程 色散估计
2023/5/5
A dispersive decay estimate is proven for the linear propagator of the three-scale rotating stratified Boussinesq equations in the stratification-dominant regime. Because the phase function of that pr...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Dispersive estimates for the inviscid rotating stratified Boussinesq equations in the stratification-dominant three-scale limit
分层主导 三尺度极限 无粘性旋转分层 Boussinesq方程 色散估计
2023/5/5
A dispersive decay estimate is proven for the linear propagator of the three-scale rotating stratified Boussinesq equations in the stratification-dominant regime. Because the phase function of that pr...
Joint downscale fluxes of energy and potential enstrophy in rotating stratified Boussinesq flows
Turbulent flows Boussinesq flows Joint downscale fluxes potential enstrophy
2011/8/11
Abstract: We employ a coarse-graining approach to analyze nonlinear cascades in Boussinesq flows using high-resolution simulation data. We derive budgets which resolve the evolution of energy and pote...
Non-Boussinesq Integral Model for Horizontal Turbulent Buoyant Round Jets
Non-Boussinesq Integral Model Horizontal Turbulent Buoyant Round Jets
2009/9/2
Horizontal buoyant jet is a fundamental flow regime for hydrogen safety analysis in power industry. The purpose of this study is to develop a fast non-Boussinesq engineering model the horizontal buoya...
摘要本文讨论了弹性力学中著名的Boussinesq-Galerkin势函数的限制问题。在Z-向凸区域的条件下,Boussinesq-Galerkin解和胡海昌解是等价的。
基于Boussinesq方程的波浪模型
Boussinesq模型 色散关系 波浪变形 浅水 表面水波
2007/7/28
摘要从欧拉方程出发，提供了另一种推导完全非线性Boussinesq方程的方法，并对方程的
线性色散关系和线性变浅率进行了改进. 改进后方程的线性色散关系达到了一阶Stokes波
色散关系的Pad\'{e}[4,4]近似，在相对水深达1.0的强色散波浪时仍保持较高的准确性，并且方程的非线性和线性
变浅率都得到了不同程度的改善. 方程的水平一维形式用预估-校正的有限差分格式求解，
建立了一个适合较强非...
一阶非线性项、四阶色散项的Boussinesq类方程
一阶非线性项 四阶色散项 Bousinesq类方程
2007/7/28
摘要推导了由一阶色散项Ｏ（β２）表示的Ｂｏｕｓｉｎｅｓｑ类方程，方程中保留了一阶非线性项Ｏ（α）及四阶色散项Ｏ（β８），其中α＝Ａ／ｈ０，β＝ｈ０／Ｌ，Ａ为特征波高，Ｌ为特征波长，ｈ０为特征水深从理论上证明了Ｂｏｕｓｉｎｅｓｑ改善型方程对色散性精度的提高，阐明了此类方程对色散项所保留的精度为Ｏ（β８），而并非是此类方程推导之初的假设为Ｏ（β２）这一点，将改变人们传统的认识
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