Skip to content

Commit 2dd70bf

Browse files
committed
Update paper.md
add spaces after # and fix figure reference.
1 parent e2f67e7 commit 2dd70bf

File tree

1 file changed

+4
-4
lines changed

1 file changed

+4
-4
lines changed

paper.md

Lines changed: 4 additions & 4 deletions
Original file line numberDiff line numberDiff line change
@@ -49,7 +49,7 @@ The advantages not withstanding, a major impediment to the application of SEMs h
4949

5050
For these reasons, HOHQMesh was developed to generate all-quadrilateral and extruded hexahedral meshes suitable for use with spectral element methods. HOHQMesh is a direct quadrilateral mesher, which generates quadrilateral elements by the subdivision method of Schneiders [@schneiders2000algorithms] rather than indirectly from a triangular mesh or by curving a low order mesh. It also sizes and curves the elements based on the length scales in the model, rather than try to modify an existing low order mesh.
5151

52-
#Features
52+
# Features
5353

5454
HOHQMesh is designed to require minimal input from the user through the use of a control file. The model defines the geometry in terms of an outer and inner boundary curves.
5555

@@ -64,18 +64,18 @@ HOHQMesh features include:
6464
- Hexahedral meshes from extrusion, rotation, and sweeping of a quadrilateral mesh, with or without scaling
6565
- Bottom topography variations for extruded hexahedral meshes with automatic resolution of topographic features
6666

67-
#Example
67+
# Example
6868

6969
In 1959 the Malpasset dam in France failed and flooded the Reyran river valley down to the Mediterranean sea [@hervouet1999malpasset],[@goutal1999malpasset]. Fig \ref{fig:Total} shows a mesh with 2392 fourth order elements generated by HOHQMesh in 0.44s on an Apple MacBook Pro with a 2.3 GHz Quad-Core Intel
7070
i7. A zoom of the western portion of the mesh is shown in Fig. \ref{fig:zoom}. The geometry model consists only of an outer boundary, which was specified as a cubic spline, and no inner boundaries. Fig. \ref{fig:WaterHeight} shows a spectral element computation of the water heights using the mesh of Fig. \ref{fig:Total} in the package Trixi.jl [@schlottkelakemper2021purely].
7171

72-
![Spectral element mesh for the Reyran river valley including a portion of the Mediterranean Sea\label{fig:Total)](PaperFigs/malpasset-total-skeleton.png)
72+
![Spectral element mesh for the Reyran river valley including a portion of the Mediterranean Sea\label{fig:Total}](PaperFigs/malpasset-total-skeleton.png)
7373

7474
![Western portion of the Reyran valley mesh\label{fig:zoom}](PaperFigs/malpasset-total-skeleton-zoom.png)
7575

7676
![Spectral element conputation of the water heights at 1985s after the break of the Malpasset dam\label{fig:WaterHeight}](PaperFigs/malpasset_time_1985s.png)
7777

78-
#Related Software
78+
# Related Software
7979

8080
Special purpose quad/hex spectral element grid generators for simple geometries are openly available as part of some spectral element solvers. The preprocessor for FLEXI, HOPR, for instance, will generate cartesian boxes and meshes built from combinations of cartesian boxes, cylinders and spheres.
8181

0 commit comments

Comments
 (0)