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JOSS:paper -fix typos in paper.md and capitalization in paper.bib
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JOSS/paper.bib

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@@ -45,7 +45,7 @@ @book{katz2001low
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author={Katz, Joseph and Plotkin, Allen},
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volume={13},
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year={2001},
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publisher={Cambridge university press},
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publisher={{Cambridge university press}},
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doi={10.1115/1.1669432},
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url={https://asmedigitalcollection.asme.org/fluidsengineering/article/126/2/293/458666/LowSpeed-Aerodynamics-Second-Edition}
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}
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url={https://doi.org/10.1017/jfm.2017.302}
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}
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@inproceedings{drela1989xfoil,
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title={XFOIL: An analysis and design system for low Reynolds number airfoils},
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title={XFOIL: An analysis and design system for low {Reynolds} number airfoils},
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author={Drela, Mark},
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booktitle={Low Reynolds number aerodynamics: proceedings of the conference notre dame, Indiana, USA, 5--7 June 1989},
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pages={1--12},
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}
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@article{persson2012numerical,
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title={Numerical simulation of flapping wings using a panel method and a high-order Navier--Stokes solver},
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title={Numerical simulation of flapping wings using a panel method and a high-order {Navier--Stokes} solver},
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author={Persson, P-O and Willis, David J and Peraire, Jaume},
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journal={International Journal for Numerical Methods in Engineering},
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volume={89},

JOSS/paper.md

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@@ -71,7 +71,7 @@ Each airfoil panel has a control point (or collocation point) at its midpoint, w
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$$
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\left[(\nabla \Phi-{\boldsymbol V_{\text{body}}})_i\cdot \hat{\boldsymbol{n}}_i \right]_{t_k} = 0, \quad (1 \leq i \leq n-1)
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$$
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Here, $\Phi$ is the total velocity potential, composed of the perturbation and freestream components, i.e., $\Phi=\Phi_{\text{perturbation}}+\Phi_\infty$. The perturbation potential $\Phi_{\text{perturbation}}$ accounts for the influence of both bound and wake vortices, while $\Phi_{\infty}$ represents the freestream velocity potential. The same equation can be equivalently expressed explicity in terms of velocity as follows:
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Here, $\Phi$ is the total velocity potential, composed of the perturbation and freestream components, i.e., $\Phi=\Phi_{\text{perturbation}}+\Phi_\infty$. The perturbation potential $\Phi_{\text{perturbation}}$ accounts for the influence of both bound and wake vortices, while $\Phi_{\infty}$ represents the freestream velocity potential. The same equation can be equivalently expressed explicitly in terms of velocity as follows:
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$$
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\left[ \left( \boldsymbol{V}_{\text{bound}} + \boldsymbol{V}_{\text{wake}} + \underbrace{\left( \boldsymbol{V}_{\infty} - \overbrace{\left( \boldsymbol{V}_{0} + \boldsymbol{\Omega} \times \boldsymbol{r}_{i} \right)}^{\boldsymbol{V}_{\text{body}}} \right)}_{\boldsymbol{V}_{\text{kinematics}}} \right) \cdot \hat{\boldsymbol{n}}_{i} \right]_{t_k} = 0, \quad (1 \leq i \leq n-1)
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$$
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### Other Physical Considerations
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#### Trailing Edge Condition(Kutta Condition)
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#### Trailing Edge Condition (Kutta Condition)
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Satisfying the boundary conditions alone does not yield a unique solution for the bound vortex strengths, $\gamma_j\,(1 \leq j \leq n)$. To obtain a unique solution, the flow must leave the airfoil's sharp trailing edge smoothly along the bisector line. This requirement is known as the Kutta Condition [@eldredge2019mathematical]. Mathematically, this condition is expressed as:
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$$
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\gamma_{\text{TE}}(t_k) = 0, \quad \text{where} \quad

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