旋转的Bénard问题中旋转轴偏离重力方向的线性算子谱研究

应用数值方法研究了边界条件为双固壁，旋转轴偏离重力方向的Bénard问题的线性算子谱问题。记线性化线性算子所有特征值σ的实部的最小值为ξ₀，通过改进的Chebyshev-tau方法研究了ξ₀和临界瑞利数Rc与旋转偏向角β的关系。计算结果表明：ξ₀和Rc都是β的减函数，此外它们的变化还依赖于Prandtl数Pr。

On the spectrum of linearized operator of rotating Bénard problem when the rotation axis and gravity act in different directions

The linearized spectral problem of rotating Benard convection with rigid boundary conditions when ro-tation frequency Ω and gravity g act in different directions is studied. Let ξ_0 be the minimum value of the real parts of the eigenvalues σ in the spectrum problem (ξ_0= min {Reσ}) The dependence of ξ_0 and the critical Rayleigh number Rc on the angle β between Ω and g is given for some parameters by the modified Chebyshev-tau method. It is shown that both ξ_0 and Rc decrease with increasing angle β. Moreover, ξ_0 is dependent on the Prandtl number.