§3位势涡度方程 注意:VS·B(aS aS Va+Vp(Va∧Vp)=0 VS VS·/ Qg.V ui+v+wk VS a Vui 分Dn.V以+nVwk aS aS aS a.Vu-+Vv-+Vw 郭晓广义位daVS四,ⅴS<×F 涡方程§3 位势涡度方程 ⋅( ) − ∇ ∧ ∇ ≡ 0 ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ∇ ∂ ∂ ∇ + ∂ ∂ = ∇ ⋅ p p p S B S S α α ρ α ˆ ( ) ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ∂ ∂ + ∇ ∂ ∂ + ∇ ∂ ∂ = ⋅ ∇ ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = ∇ ⋅ ⋅∇ + ⋅∇ + ⋅∇ ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ + + ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ⎥ = ∇ ⋅ ⋅∇ ⎦ ⎤ ⎢ ⎣ ⎡ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ∇ ⋅ ∇ z S w y S v x S u S u i vj w k S V S u i vj w k a a a a a a ρ ϖ ρ ω ρ ω ρ ω ρ ω ρ ω ˆ ™ ˆ ™ ˆ ™ ˆ ˆ ˆ ˆ ˆ ˆ ˆ 注 意： F S T S Q dt d a a ˆ ˆ ˆ ⋅∇ × ∇ +⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ = ⋅∇ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ⋅∇ ρ ρ ϖ ρ 郭晓岚广义位 ϖ 涡方程