Boussinesq approximation (buoyancy) - Wikipedia
网页In fluid dynamics, the Boussinesq approximation (pronounced [businɛsk], named for Joseph Valentin Boussinesq) is used in the field of buoyancy -driven flow (also known as natural convection). It ignores density differences except where they appear in terms multiplied by g, the acceleration due to gravity.
CFD理论|Boussinesq近似 - 知乎 - 知乎专栏
网页2023年9月25日 · Boussinesq近似适用场景. 总的来说, 当密度波动远小于参考密度时，近似是有效的：. \Delta\rho<<\rho_ {0} \\. 可以将方程改写为更直观的形式：. \frac {\rho-\rho_0} {\rho_0}<<1 \\. 引入热膨胀系数：. \beta\approx-\frac {1} {\rho_ {0}}\frac {\rho-\rho_ {0}} {T-T_ {0}} \\\beta (T-T_ {0})<<1 \\. 这 ...
布辛涅司克近似 - 百度百科
网页最常用的假设就是布辛涅司克近似（Boussinesq approximation）。 应用. 播报. 编辑. 在 水动力 （Hydrodynamic）模拟中，流体在 水平方向 的尺度一般 远大于 垂直方向尺度（如河流、入海口、海洋等），因此 重力波 运动与水体垂向运动的速度相差两个 数量级 以上。 所以对于一般的流体流动，水平尺度运动占主导作用，垂向运动可以忽略不计。 由于垂向运动 加速度 几乎为0，而且流体在流动中 密度变化 不是很大（流体可近似看做 不可压缩流体）， …
Boussinesq Approximation Definition - COMSOL
网页2015年4月2日 · What Is the Boussinesq Approximation? The Boussinesq approximation is a way to solve nonisothermal flow, such as natural convection problems, without having to solve for the full compressible formulation of the Navier-Stokes equations. The Boussinesq approximation was a popular method for solving nonisothermal flow, particularly in previous ...
什么是布辛涅斯克近似？ - 知乎专栏
网页布辛涅斯克近似是一种近似算法，无需计算 纳维-斯托克斯方程 的完全可压缩公式，即可求解非等温流动中的自然对流问题。 布辛涅斯克近似曾是求解非等温流动的常用方法，特别是在早些时候，运用这种方法求解的计算成本较低，并且容易实现收敛。 在密度变化不明显的情况下，由于降低了问题的非线性程度，使用这种近似也可以得到精确的结果。 这种方法假设密度变化对流场没有影响，在计算时只需考虑产生浮力的情况。 从实际角度来看，这种 …
网页7.3 Boussinesq approximation I want to take an aside and say a few words about the Boussinesq approximation. Imagine a 3D fluid, like the ocean, where density can be broken into three terms: ρ = ρ o +˜ρ(z)+ρ (x,y,z,t) (7.3) where ρ o ρ˜ ρ (7.4) This requires that the vertical variation of density is small relative to the mean, and ...
What is the Boussinesq Approximation? (CFD) - SimScale
网页2023年8月31日 · The Boussinesq approximation is used to solve buoyancy-driven flows and is less computationally expensive than solving the full compressible formulation of the Navier-Stokes equations. The Boussinesq approximation can be used in all non-isothermal flows and ignores density differences except for equation terms which are multiplied by gravity.
网页The so-called Boussinesql approximation consists in neglecting the variations in density - except where they are coupled with the magnitude of the gravity g. Otherwise stated, this means that the influence of the stratification on the inertia terms is ignored in comparison to the influence related to the gravity.
The Boussinesq Approximation - doc.comsol.com
网页The Boussinesq approximation is a way to treat certain simple cases of buoyant flow without having to use the compressible formulation of the Navier-Stokes equations. The Boussinesq approximation assumes that variations in density have no effect on the flow field except that they give rise to a buoyancy force.
Anelastic and Boussinesq Approximations | SpringerLink
网页The anelastic and Boussinesq approximations are simplifications of the system of equations governing buoyantly driven flows. The Boussinesq equations were the first to appear in print.
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