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ENH: Updated comment/description

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andy
2012-11-19 09:37:41 +00:00
parent d460b3484b
commit 7888a0d8bb
13 changed files with 176 additions and 181 deletions
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2
applications/utilities/mesh/generation/snappyHexMesh/snappyHexMeshDict
View File

@ -337,7 +337,7 @@ addLayersControls
// Advanced settings // Advanced settings
// When not to extrude surface. 0 is flat surface, 90 is when two faces // When not to extrude surface. 0 is flat surface, 90 is when two faces
// make straight angle. // are perpendicular
featureAngle 60; featureAngle 60;
// At non-patched sides allow mesh to slip if extrusion direction makes // At non-patched sides allow mesh to slip if extrusion direction makes

33
tutorials/heatTransfer/buoyantBoussinesqSimpleFoam/iglooWithFridges/system/snappyHexMeshDict
View File

@ -256,35 +256,34 @@ addLayersControls
// Expansion factor for layer mesh // Expansion factor for layer mesh
expansionRatio 1.0; expansionRatio 1.0;
//- Wanted thickness of final added cell layer. If multiple layers // Wanted thickness of final added cell layer. If multiple layers
// is the // is the thickness of the layer furthest away from the wall.
// thickness of the layer furthest away from the wall. // Relative to undistorted size of cell outside layer.
// Relative to undistorted size of cell outside layer. // is the thickness of the layer furthest away from the wall.
// is the thickness of the layer furthest away from the wall. // See relativeSizes parameter.
// See relativeSizes parameter.
finalLayerThickness 0.5; finalLayerThickness 0.5;
//- Minimum thickness of cell layer. If for any reason layer // Minimum thickness of cell layer. If for any reason layer
// cannot be above minThickness do not add layer. // cannot be above minThickness do not add layer.
// Relative to undistorted size of cell outside layer. // Relative to undistorted size of cell outside layer.
// See relativeSizes parameter. // See relativeSizes parameter.
minThickness 0.25; minThickness 0.25;
//- If points get not extruded do nGrow layers of connected faces that are // If points get not extruded do nGrow layers of connected faces that are
// also not grown. This helps convergence of the layer addition process // also not grown. This helps convergence of the layer addition process
// close to features. // close to features.
// Note: changed(corrected) w.r.t 17x! (didn't do anything in 17x) // Note: changed(corrected) w.r.t 17x! (didn't do anything in 17x)
nGrow 0; nGrow 0;
// Advanced settings // Advanced settings
//- When not to extrude surface. 0 is flat surface, 90 is when two faces // When not to extrude surface. 0 is flat surface, 90 is when two faces
// make straight angle. // are perpendicular
featureAngle 60; featureAngle 60;
//- Maximum number of snapping relaxation iterations. Should stop // Maximum number of snapping relaxation iterations. Should stop
// before upon reaching a correct mesh. // before upon reaching a correct mesh.
nRelaxIter 5; nRelaxIter 5;
// Number of smoothing iterations of surface normals // Number of smoothing iterations of surface normals

27
tutorials/heatTransfer/chtMultiRegionFoam/snappyMultiRegionHeater/system/snappyHexMeshDict
View File

@ -285,31 +285,30 @@ addLayersControls
// Expansion factor for layer mesh // Expansion factor for layer mesh
expansionRatio 1.3; expansionRatio 1.3;
//- Wanted thickness of final added cell layer. If multiple layers // Wanted thickness of final added cell layer. If multiple layers
// is the // is the thickness of the layer furthest away from the wall.
// thickness of the layer furthest away from the wall. // Relative to undistorted size of cell outside layer.
// Relative to undistorted size of cell outside layer.
finalLayerThickness 1; finalLayerThickness 1;
//- Minimum thickness of cell layer. If for any reason layer // Minimum thickness of cell layer. If for any reason layer
// cannot be above minThickness do not add layer. // cannot be above minThickness do not add layer.
// Relative to undistorted size of cell outside layer. // Relative to undistorted size of cell outside layer.
minThickness 0.1; minThickness 0.1;
//- If points get not extruded do nGrow layers of connected faces that are // If points get not extruded do nGrow layers of connected faces that are
// also not grown. This helps convergence of the layer addition process // also not grown. This helps convergence of the layer addition process
// close to features. // close to features.
// Note: changed(corrected) w.r.t 17x! (didn't do anything in 17x) // Note: changed(corrected) w.r.t 17x! (didn't do anything in 17x)
nGrow 0; nGrow 0;
// Advanced settings // Advanced settings
//- When not to extrude surface. 0 is flat surface, 90 is when two faces // When not to extrude surface. 0 is flat surface, 90 is when two faces
// make straight angle. // are perpendicular
featureAngle 30; featureAngle 30;
//- Maximum number of snapping relaxation iterations. Should stop // Maximum number of snapping relaxation iterations. Should stop
// before upon reaching a correct mesh. // before upon reaching a correct mesh.
nRelaxIter 3; nRelaxIter 3;
// Number of smoothing iterations of surface normals // Number of smoothing iterations of surface normals

32
tutorials/incompressible/pimpleDyMFoam/propeller/system/snappyHexMeshDict
View File

@ -335,33 +335,33 @@ addLayersControls
// Expansion factor for layer mesh // Expansion factor for layer mesh
expansionRatio 1.0; expansionRatio 1.0;
//- Wanted thickness of final added cell layer. If multiple layers // Wanted thickness of final added cell layer. If multiple layers
// is the // is the
// thickness of the layer furthest away from the wall. // thickness of the layer furthest away from the wall.
// Relative to undistorted size of cell outside layer. // Relative to undistorted size of cell outside layer.
// is the thickness of the layer furthest away from the wall. // is the thickness of the layer furthest away from the wall.
// See relativeSizes parameter. // See relativeSizes parameter.
finalLayerThickness 0.3; finalLayerThickness 0.3;
//- Minimum thickness of cell layer. If for any reason layer // Minimum thickness of cell layer. If for any reason layer
// cannot be above minThickness do not add layer. // cannot be above minThickness do not add layer.
// Relative to undistorted size of cell outside layer. // Relative to undistorted size of cell outside layer.
minThickness 0.1; minThickness 0.1;
//- If points get not extruded do nGrow layers of connected faces that are // If points get not extruded do nGrow layers of connected faces that are
// also not grown. This helps convergence of the layer addition process // also not grown. This helps convergence of the layer addition process
// close to features. // close to features.
// Note: changed(corrected) w.r.t 17x! (didn't do anything in 17x) // Note: changed(corrected) w.r.t 17x! (didn't do anything in 17x)
nGrow 0; nGrow 0;
// Advanced settings // Advanced settings
//- When not to extrude surface. 0 is flat surface, 90 is when two faces // When not to extrude surface. 0 is flat surface, 90 is when two faces
// make straight angle. // are perpendicular
featureAngle 30; featureAngle 30;
//- Maximum number of snapping relaxation iterations. Should stop // Maximum number of snapping relaxation iterations. Should stop
// before upon reaching a correct mesh. // before upon reaching a correct mesh.
nRelaxIter 3; nRelaxIter 3;
// Number of smoothing iterations of surface normals // Number of smoothing iterations of surface normals

33
tutorials/incompressible/pimpleDyMFoam/wingMotion/wingMotion_snappyHexMesh/system/snappyHexMeshDict
View File

@ -189,34 +189,33 @@ addLayersControls
// Expansion factor for layer mesh // Expansion factor for layer mesh
expansionRatio 1.3; expansionRatio 1.3;
//- Wanted thickness of final added cell layer. If multiple layers // Wanted thickness of final added cell layer. If multiple layers
// is the // is the thickness of the layer furthest away from the wall.
// thickness of the layer furthest away from the wall. // Relative to undistorted size of cell outside layer.
// Relative to undistorted size of cell outside layer. // is the thickness of the layer furthest away from the wall.
// is the thickness of the layer furthest away from the wall. // See relativeSizes parameter.
// See relativeSizes parameter.
finalLayerThickness 0.7; finalLayerThickness 0.7;
//- Minimum thickness of cell layer. If for any reason layer // Minimum thickness of cell layer. If for any reason layer
// cannot be above minThickness do not add layer. // cannot be above minThickness do not add layer.
// Relative to undistorted size of cell outside layer. // Relative to undistorted size of cell outside layer.
// See relativeSizes parameter. // See relativeSizes parameter.
minThickness 0.25; minThickness 0.25;
//- If points get not extruded do nGrow layers of connected faces that are // If points get not extruded do nGrow layers of connected faces that are
// also not grown. This helps convergence of the layer addition process // also not grown. This helps convergence of the layer addition process
// close to features. // close to features.
// Note: changed(corrected) w.r.t 17x! (didn't do anything in 17x) // Note: changed(corrected) w.r.t 17x! (didn't do anything in 17x)
nGrow 0; nGrow 0;
// Advanced settings // Advanced settings
//- When not to extrude surface. 0 is flat surface, 90 is when two faces // When not to extrude surface. 0 is flat surface, 90 is when two faces
// make straight angle. // are perpendicular
featureAngle 60; featureAngle 60;
//- Maximum number of snapping relaxation iterations. Should stop // Maximum number of snapping relaxation iterations. Should stop
// before upon reaching a correct mesh. // before upon reaching a correct mesh.
nRelaxIter 5; nRelaxIter 5;
// Number of smoothing iterations of surface normals // Number of smoothing iterations of surface normals

26
tutorials/incompressible/pisoFoam/les/motorBike/motorBike/system/snappyHexMeshDict
View File

@ -204,30 +204,30 @@ addLayersControls
// Expansion factor for layer mesh // Expansion factor for layer mesh
expansionRatio 1.0; expansionRatio 1.0;
//- Wanted thickness of final added cell layer. If multiple layers // Wanted thickness of final added cell layer. If multiple layers
// is the thickness of the layer furthest away from the wall. // is the thickness of the layer furthest away from the wall.
// See relativeSizes parameter. // See relativeSizes parameter.
finalLayerThickness 0.3; finalLayerThickness 0.3;
//- Minimum thickness of cell layer. If for any reason layer // Minimum thickness of cell layer. If for any reason layer
// cannot be above minThickness do not add layer. // cannot be above minThickness do not add layer.
// Relative to undistorted size of cell outside layer. // Relative to undistorted size of cell outside layer.
minThickness 0.1; minThickness 0.1;
//- If points get not extruded do nGrow layers of connected faces that are // If points get not extruded do nGrow layers of connected faces that are
// also not grown. This helps convergence of the layer addition process // also not grown. This helps convergence of the layer addition process
// close to features. // close to features.
nGrow 0; nGrow 0;
// Advanced settings // Advanced settings
//- When not to extrude surface. 0 is flat surface, 90 is when two faces // When not to extrude surface. 0 is flat surface, 90 is when two faces
// make straight angle. // are perpendicular
featureAngle 60; featureAngle 60;
//- Maximum number of snapping relaxation iterations. Should stop // Maximum number of snapping relaxation iterations. Should stop
// before upon reaching a correct mesh. // before upon reaching a correct mesh.
nRelaxIter 3; nRelaxIter 3;
// Number of smoothing iterations of surface normals // Number of smoothing iterations of surface normals

36
tutorials/incompressible/simpleFoam/motorBike/system/snappyHexMeshDict
View File

@ -227,37 +227,37 @@ addLayersControls
// Expansion factor for layer mesh // Expansion factor for layer mesh
expansionRatio 1.0; expansionRatio 1.0;
//- Wanted thickness of final added cell layer. If multiple layers // Wanted thickness of final added cell layer. If multiple layers
// is the // is the
// thickness of the layer furthest away from the wall. // thickness of the layer furthest away from the wall.
// Relative to undistorted size of cell outside layer. // Relative to undistorted size of cell outside layer.
// is the thickness of the layer furthest away from the wall. // is the thickness of the layer furthest away from the wall.
// See relativeSizes parameter. // See relativeSizes parameter.
finalLayerThickness 0.3; finalLayerThickness 0.3;
//- Minimum thickness of cell layer. If for any reason layer // Minimum thickness of cell layer. If for any reason layer
// cannot be above minThickness do not add layer. // cannot be above minThickness do not add layer.
// Relative to undistorted size of cell outside layer. // Relative to undistorted size of cell outside layer.
minThickness 0.1; minThickness 0.1;
//- If points get not extruded do nGrow layers of connected faces that are // If points get not extruded do nGrow layers of connected faces that are
// also not grown. This helps convergence of the layer addition process // also not grown. This helps convergence of the layer addition process
// close to features. // close to features.
// Note: changed(corrected) w.r.t 17x! (didn't do anything in 17x) // Note: changed(corrected) w.r.t 17x! (didn't do anything in 17x)
nGrow 0; nGrow 0;
// Advanced settings // Advanced settings
//- When not to extrude surface. 0 is flat surface, 90 is when two faces // When not to extrude surface. 0 is flat surface, 90 is when two faces
// make straight angle. // are perpendicular
featureAngle 60; featureAngle 60;
//- At non-patched sides allow mesh to slip if extrusion direction makes // At non-patched sides allow mesh to slip if extrusion direction makes
// angle larger than slipFeatureAngle. // angle larger than slipFeatureAngle.
slipFeatureAngle 30; slipFeatureAngle 30;
//- Maximum number of snapping relaxation iterations. Should stop // Maximum number of snapping relaxation iterations. Should stop
// before upon reaching a correct mesh. // before upon reaching a correct mesh.
nRelaxIter 3; nRelaxIter 3;
// Number of smoothing iterations of surface normals // Number of smoothing iterations of surface normals

26
tutorials/incompressible/simpleFoam/turbineSiting/system/snappyHexMeshDict
View File

@ -277,31 +277,31 @@ addLayersControls
expansionRatio 1.0; expansionRatio 1.0;
//- Wanted thickness of final added cell layer. If multiple layers // Wanted thickness of final added cell layer. If multiple layers
// is the thickness of the layer furthest away from the wall. // is the thickness of the layer furthest away from the wall.
// See relativeSizes parameter. // See relativeSizes parameter.
finalLayerThickness 0.3; finalLayerThickness 0.3;
//- Minimum thickness of cell layer. If for any reason layer // Minimum thickness of cell layer. If for any reason layer
// cannot be above minThickness do not add layer. // cannot be above minThickness do not add layer.
// See relativeSizes parameter. // See relativeSizes parameter.
minThickness 0.25; minThickness 0.25;
//- If points get not extruded do nGrow layers of connected faces that are // If points get not extruded do nGrow layers of connected faces that are
// also not grown. This helps convergence of the layer addition process // also not grown. This helps convergence of the layer addition process
// close to features. // close to features.
// Note: changed(corrected) w.r.t 17x! (didn't do anything in 17x) // Note: changed(corrected) w.r.t 17x! (didn't do anything in 17x)
nGrow 0; nGrow 0;
// Advanced settings // Advanced settings
//- When not to extrude surface. 0 is flat surface, 90 is when two faces // When not to extrude surface. 0 is flat surface, 90 is when two faces
// make straight angle. // are perpendicular
featureAngle 60; featureAngle 60;
//- Maximum number of snapping relaxation iterations. Should stop // Maximum number of snapping relaxation iterations. Should stop
// before upon reaching a correct mesh. // before upon reaching a correct mesh.
nRelaxIter 5; nRelaxIter 5;
// Number of smoothing iterations of surface normals // Number of smoothing iterations of surface normals

31
tutorials/mesh/cvMesh/blob/system/snappyHexMeshDict
View File

@ -216,33 +216,32 @@ addLayersControls
// Expansion factor for layer mesh // Expansion factor for layer mesh
expansionRatio 1.5; expansionRatio 1.5;
//- Wanted thickness of final added cell layer. If multiple layers // Wanted thickness of final added cell layer. If multiple layers
// is the // is the thickness of the layer furthest away from the wall.
// thickness of the layer furthest away from the wall. // Relative to undistorted size of cell outside layer.
// Relative to undistorted size of cell outside layer. // is the thickness of the layer furthest away from the wall.
// is the thickness of the layer furthest away from the wall. // See relativeSizes parameter.
// See relativeSizes parameter.
finalLayerThickness 0.02; finalLayerThickness 0.02;
//- Minimum thickness of cell layer. If for any reason layer // Minimum thickness of cell layer. If for any reason layer
// cannot be above minThickness do not add layer. // cannot be above minThickness do not add layer.
// Relative to undistorted size of cell outside layer. // Relative to undistorted size of cell outside layer.
minThickness 0.005; minThickness 0.005;
//- If points get not extruded do nGrow layers of connected faces that are // If points get not extruded do nGrow layers of connected faces that are
// also not grown. This helps convergence of the layer addition process // also not grown. This helps convergence of the layer addition process
// close to features. // close to features.
// Note: changed(corrected) w.r.t 17x! (didn't do anything in 17x) // Note: changed(corrected) w.r.t 17x! (didn't do anything in 17x)
nGrow 0; nGrow 0;
// Advanced settings // Advanced settings
//- When not to extrude surface. 0 is flat surface, 90 is when two faces // When not to extrude surface. 0 is flat surface, 90 is when two faces
// make straight angle. // are perpendicular
featureAngle 90; featureAngle 90;
//- Maximum number of snapping relaxation iterations. Should stop // Maximum number of snapping relaxation iterations. Should stop
// before upon reaching a correct mesh. // before upon reaching a correct mesh.
nRelaxIter 3; nRelaxIter 3;
// Number of smoothing iterations of surface normals // Number of smoothing iterations of surface normals

31
tutorials/mesh/cvMesh/flange/system/snappyHexMeshDict
View File

@ -216,33 +216,32 @@ addLayersControls
// Expansion factor for layer mesh // Expansion factor for layer mesh
expansionRatio 1.5; expansionRatio 1.5;
//- Wanted thickness of final added cell layer. If multiple layers // Wanted thickness of final added cell layer. If multiple layers
// is the // is the thickness of the layer furthest away from the wall.
// thickness of the layer furthest away from the wall. // Relative to undistorted size of cell outside layer.
// Relative to undistorted size of cell outside layer. // is the thickness of the layer furthest away from the wall.
// is the thickness of the layer furthest away from the wall. // See relativeSizes parameter.
// See relativeSizes parameter.
finalLayerThickness 0.0003; finalLayerThickness 0.0003;
//- Minimum thickness of cell layer. If for any reason layer // Minimum thickness of cell layer. If for any reason layer
// cannot be above minThickness do not add layer. // cannot be above minThickness do not add layer.
// Relative to undistorted size of cell outside layer. // Relative to undistorted size of cell outside layer.
minThickness 0.0001; minThickness 0.0001;
//- If points get not extruded do nGrow layers of connected faces that are // If points get not extruded do nGrow layers of connected faces that are
// also not grown. This helps convergence of the layer addition process // also not grown. This helps convergence of the layer addition process
// close to features. // close to features.
// Note: changed(corrected) w.r.t 17x! (didn't do anything in 17x) // Note: changed(corrected) w.r.t 17x! (didn't do anything in 17x)
nGrow 0; nGrow 0;
// Advanced settings // Advanced settings
//- When not to extrude surface. 0 is flat surface, 90 is when two faces // When not to extrude surface. 0 is flat surface, 90 is when two faces
// make straight angle. // are perpendicular
featureAngle 90; featureAngle 90;
//- Maximum number of snapping relaxation iterations. Should stop // Maximum number of snapping relaxation iterations. Should stop
// before upon reaching a correct mesh. // before upon reaching a correct mesh.
nRelaxIter 3; nRelaxIter 3;
// Number of smoothing iterations of surface normals // Number of smoothing iterations of surface normals

26
tutorials/mesh/snappyHexMesh/flange/system/snappyHexMeshDict
View File

@ -214,30 +214,30 @@ addLayersControls
expansionRatio 1.0; expansionRatio 1.0;
//- Wanted thickness of final added cell layer. If multiple layers // Wanted thickness of final added cell layer. If multiple layers
// is the thickness of the layer furthest away from the wall. // is the thickness of the layer furthest away from the wall.
// See relativeSizes parameter. // See relativeSizes parameter.
finalLayerThickness 0.3; finalLayerThickness 0.3;
//- Minimum thickness of cell layer. If for any reason layer // Minimum thickness of cell layer. If for any reason layer
// cannot be above minThickness do not add layer. // cannot be above minThickness do not add layer.
// See relativeSizes parameter. // See relativeSizes parameter.
minThickness 0.25; minThickness 0.25;
//- If points get not extruded do nGrow layers of connected faces that are // If points get not extruded do nGrow layers of connected faces that are
// also not grown. This helps convergence of the layer addition process // also not grown. This helps convergence of the layer addition process
// close to features. // close to features.
nGrow 0; nGrow 0;
// Advanced settings // Advanced settings
//- When not to extrude surface. 0 is flat surface, 90 is when two faces // When not to extrude surface. 0 is flat surface, 90 is when two faces
// make straight angle. // are perpendicular
featureAngle 30; featureAngle 30;
//- Maximum number of snapping relaxation iterations. Should stop // Maximum number of snapping relaxation iterations. Should stop
// before upon reaching a correct mesh. // before upon reaching a correct mesh.
nRelaxIter 5; nRelaxIter 5;
// Number of smoothing iterations of surface normals // Number of smoothing iterations of surface normals

26
tutorials/multiphase/LTSInterFoam/wigleyHull/system/snappyHexMeshDict
View File

@ -228,31 +228,31 @@ addLayersControls
expansionRatio 1.0; expansionRatio 1.0;
//- Wanted thickness of final added cell layer. If multiple layers // Wanted thickness of final added cell layer. If multiple layers
// is the thickness of the layer furthest away from the wall. // is the thickness of the layer furthest away from the wall.
// See relativeSizes parameter. // See relativeSizes parameter.
finalLayerThickness 0.3; finalLayerThickness 0.3;
//- Minimum thickness of cell layer. If for any reason layer // Minimum thickness of cell layer. If for any reason layer
// cannot be above minThickness do not add layer. // cannot be above minThickness do not add layer.
// See relativeSizes parameter. // See relativeSizes parameter.
minThickness 0.25; minThickness 0.25;
//- If points get not extruded do nGrow layers of connected faces that are // If points get not extruded do nGrow layers of connected faces that are
// also not grown. This helps convergence of the layer addition process // also not grown. This helps convergence of the layer addition process
// close to features. // close to features.
// Note: changed(corrected) w.r.t 17x! (didn't do anything in 17x) // Note: changed(corrected) w.r.t 17x! (didn't do anything in 17x)
nGrow 0; nGrow 0;
// Advanced settings // Advanced settings
//- When not to extrude surface. 0 is flat surface, 90 is when two faces // When not to extrude surface. 0 is flat surface, 90 is when two faces
// make straight angle. // are perpendicular
featureAngle 60; featureAngle 60;
//- Maximum number of snapping relaxation iterations. Should stop // Maximum number of snapping relaxation iterations. Should stop
// before upon reaching a correct mesh. // before upon reaching a correct mesh.
nRelaxIter 5; nRelaxIter 5;
// Number of smoothing iterations of surface normals // Number of smoothing iterations of surface normals

28
tutorials/multiphase/interPhaseChangeFoam/cavitatingBullet/system/snappyHexMeshDict
View File

@ -210,32 +210,32 @@ addLayersControls
// Expansion factor for layer mesh // Expansion factor for layer mesh
expansionRatio 1.0; expansionRatio 1.0;
//- Wanted thickness of final added cell layer. If multiple layers // Wanted thickness of final added cell layer. If multiple layers
// is the // is the
// thickness of the layer furthest away from the wall. // thickness of the layer furthest away from the wall.
// Relative to undistorted size of cell outside layer. // Relative to undistorted size of cell outside layer.
finalLayerThickness 0.3; finalLayerThickness 0.3;
//- Minimum thickness of cell layer. If for any reason layer // Minimum thickness of cell layer. If for any reason layer
// cannot be above minThickness do not add layer. // cannot be above minThickness do not add layer.
// Relative to undistorted size of cell outside layer. // Relative to undistorted size of cell outside layer.
minThickness 0.1; minThickness 0.1;
//- If points get not extruded do nGrow layers of connected faces that are // If points get not extruded do nGrow layers of connected faces that are
// also not grown. This helps convergence of the layer addition process // also not grown. This helps convergence of the layer addition process
// close to features. // close to features.
// Note: changed(corrected) w.r.t 17x! (didn't do anything in 17x) // Note: changed(corrected) w.r.t 17x! (didn't do anything in 17x)
nGrow 0; nGrow 0;
// Advanced settings // Advanced settings
//- When not to extrude surface. 0 is flat surface, 90 is when two faces // When not to extrude surface. 0 is flat surface, 90 is when two faces
// make straight angle. // are perpendicular
featureAngle 30; featureAngle 30;
//- Maximum number of snapping relaxation iterations. Should stop // Maximum number of snapping relaxation iterations. Should stop
// before upon reaching a correct mesh. // before upon reaching a correct mesh.
nRelaxIter 3; nRelaxIter 3;
// Number of smoothing iterations of surface normals // Number of smoothing iterations of surface normals