Skip to content

Commit f7a27be

Browse files
committed
Add 'top' superscript to the last term of Eq. (52)
- Add 'top' superscript to the last term of Eq. (52) - the discrete momentum equation
1 parent 4b9547e commit f7a27be

File tree

1 file changed

+1
-1
lines changed

1 file changed

+1
-1
lines changed

components/omega/doc/design/OmegaV1GoverningEqns.md

Lines changed: 1 addition & 1 deletion
Original file line numberDiff line numberDiff line change
@@ -731,7 +731,7 @@ $$
731731
& + \left[ {\bf k} \cdot \nabla \times u_{e,k} +f_v\right]_e\left(u_{e,k}^{\perp}\right) + \left[\nabla K\right]_e \\
732732
& + \frac{\rho_0}{\left[\tilde{h}_{i,k}\right]_e} \left\{ \left[\left(u - u_k\right) \left\{\tilde{W}_{tr} \right\} \right]_{e,k}^\text{top} - \left[ \left(u - u_k\right) \left\{\tilde{W}_{tr} \right\} \right]_{e,k+1}^\text{top} \right\} \\
733733
& = - \left(\nabla \Phi \right)_{e,k} - \frac{1}{\left[\tilde{h}_k\right]_e} \nabla \left( \tilde{h}_k \alpha_k p_k \right) - \frac{1}{\left[\tilde{h}_k\right]_e} \left\{ \left[ \alpha p \nabla \tilde{z}^{\text{top}}\right]_{e,k}^\text{top} - \left[ \alpha p \nabla \tilde{z}^{\text{bot}}\right]_{e,k+1}^\text{top} \right\} \\
734-
& - \frac{1}{\left[\tilde{h}_{i,k}\right]_e} \nabla \cdot \left( \tilde{h}_k \left< {\bf u}^\prime \otimes {\bf u}^\prime \right>_k \right) - \frac{\rho_0}{\left[\tilde{h}_{i,k}\right]_e^\text{top}} \left\{ \left[ \left<\mathbf{u}^\prime \tilde{w}_{tr}^\prime \right> - \left< \mathbf{u}^\prime \tilde{ u}^\prime \right> \right]_{e,k}^\text{top} - \left[ \left<\mathbf{u}^\prime \tilde{w}_{tr}^\prime \right> - \left< \mathbf{u}^\prime \tilde{ u}^\prime \right> \right]_{e,k+1} \right\}.
734+
& - \frac{1}{\left[\tilde{h}_{i,k}\right]_e} \nabla \cdot \left( \tilde{h}_k \left< {\bf u}^\prime \otimes {\bf u}^\prime \right>_k \right) - \frac{\rho_0}{\left[\tilde{h}_{i,k}\right]_e^\text{top}} \left\{ \left[ \left<\mathbf{u}^\prime \tilde{w}_{tr}^\prime \right> - \left< \mathbf{u}^\prime \tilde{ u}^\prime \right> \right]_{e,k}^\text{top} - \left[ \left<\mathbf{u}^\prime \tilde{w}_{tr}^\prime \right> - \left< \mathbf{u}^\prime \tilde{ u}^\prime \right> \right]_{e,k+1}^\text{top} \right\}.
735735
$$ (discrete-momentum)
736736
737737
**Diagnostic Relations:**

0 commit comments

Comments
 (0)