def generateElements(self, mesh, fieldModule, coordinates):
"""
Create cylinder elements from nodes.
:param mesh:
:param fieldModule: Zinc fieldmodule to create nodes in. Uses DOMAIN_TYPE_NODES.
:param coordinates: Coordinate field to define.
"""
elementIdentifier = max(1, getMaximumElementIdentifier(mesh) + 1)
self._startElementIdentifier = elementIdentifier
elementIdentifier = self._shield.generateElements(
fieldModule, coordinates, elementIdentifier, [])
self._endElementIdentifier = elementIdentifier
def generateBaseMesh(cls, region, options):
"""
Generate the base tricubic Hermite mesh.
:param region: Zinc region to define model in. Must be empty.
:param options: Dict containing options. See getDefaultOptions().
:return: list of AnnotationGroup
"""
# set dependent outer diameter used in atria2
options['Aorta outer plus diameter'] = options[
'LV outlet inner diameter'] + 2.0 * options[
'LV outlet wall thickness']
elementsCountAroundAtrialSeptum = options[
'Number of elements around atrial septum']
elementsCountAroundLeftAtriumFreeWall = options[
'Number of elements around left atrium free wall']
elementsCountAroundLeftAtrium = elementsCountAroundLeftAtriumFreeWall + elementsCountAroundAtrialSeptum
elementsCountAroundRightAtriumFreeWall = options[
'Number of elements around right atrium free wall']
elementsCountAroundRightAtrium = elementsCountAroundRightAtriumFreeWall + elementsCountAroundAtrialSeptum
useCrossDerivatives = False
fm = region.getFieldmodule()
coordinates = findOrCreateFieldCoordinates(fm)
cache = fm.createFieldcache()
mesh = fm.findMeshByDimension(3)
# generate heartventriclesbase1 model and put atria1 on it
ventriclesAnnotationGroups = MeshType_3d_heartventriclesbase1.generateBaseMesh(
region, options)
atriaAnnotationGroups = MeshType_3d_heartatria1.generateBaseMesh(
region, options)
annotationGroups = mergeAnnotationGroups(ventriclesAnnotationGroups,
atriaAnnotationGroups)
lFibrousRingGroup = findOrCreateAnnotationGroupForTerm(
annotationGroups, region, get_heart_term("left fibrous ring"))
rFibrousRingGroup = findOrCreateAnnotationGroupForTerm(
annotationGroups, region, get_heart_term("right fibrous ring"))
# annotation fiducial points
markerGroup = findOrCreateFieldGroup(fm, "marker")
markerName = findOrCreateFieldStoredString(fm, name="marker_name")
markerLocation = findOrCreateFieldStoredMeshLocation(
fm, mesh, name="marker_location")
nodes = fm.findNodesetByFieldDomainType(Field.DOMAIN_TYPE_NODES)
markerPoints = findOrCreateFieldNodeGroup(markerGroup,
nodes).getNodesetGroup()
markerTemplateInternal = nodes.createNodetemplate()
markerTemplateInternal.defineField(markerName)
markerTemplateInternal.defineField(markerLocation)
##############
# Create nodes
##############
nodeIdentifier = max(1, getMaximumNodeIdentifier(nodes) + 1)
# discover left and right fibrous ring nodes from ventricles and atria
# because nodes are iterated in identifier order, the lowest and first are on the lv outlet cfb, right and left on lower outer layers
# left fibrous ring
lavNodeId = [[[], []], [[], []]] # [n3][n2][n1]
iter = lFibrousRingGroup.getNodesetGroup(nodes).createNodeiterator()
# left fibrous ring, bottom row
cfbNodeId = iter.next().getIdentifier()
cfbLeftNodeId = iter.next().getIdentifier()
for n1 in range(elementsCountAroundLeftAtrium):
lavNodeId[0][0].append(iter.next().getIdentifier())
lavNodeId[1][0].append(cfbNodeId)
lavNodeId[1][0].append(cfbLeftNodeId)
for n1 in range(elementsCountAroundLeftAtriumFreeWall - 1):
lavNodeId[1][0].append(iter.next().getIdentifier())
for n1 in range(elementsCountAroundAtrialSeptum - 1):
lavNodeId[1][0].append(None) # no outer node on interatrial septum
# left fibrous ring, top row
for n1 in range(elementsCountAroundLeftAtrium):
lavNodeId[0][1].append(iter.next().getIdentifier())
for n1 in range(elementsCountAroundLeftAtriumFreeWall + 1):
lavNodeId[1][1].append(iter.next().getIdentifier())
for n1 in range(elementsCountAroundAtrialSeptum - 1):
lavNodeId[1][1].append(None) # no outer node on interatrial septum
# right fibrous ring
ravNodeId = [[[], []], [[], []]] # [n3][n2][n1]
iter = rFibrousRingGroup.getNodesetGroup(nodes).createNodeiterator()
cfbNodeId = iter.next().getIdentifier()
cfbRightNodeId = iter.next().getIdentifier()
# right fibrous ring, bottom row
for n1 in range(elementsCountAroundRightAtrium):
ravNodeId[0][0].append(iter.next().getIdentifier())
for n1 in range(elementsCountAroundRightAtriumFreeWall - 1):
ravNodeId[1][0].append(iter.next().getIdentifier())
ravNodeId[1][0].append(cfbRightNodeId)
ravNodeId[1][0].append(cfbNodeId)
for n1 in range(elementsCountAroundAtrialSeptum - 1):
ravNodeId[1][0].append(None) # no outer node on interatrial septum
# right fibrous ring, top row
for n1 in range(elementsCountAroundRightAtrium):
ravNodeId[0][1].append(iter.next().getIdentifier())
cfbUpperNodeId = iter.next().getIdentifier(
) # cfb from left will be first
for n1 in range(elementsCountAroundRightAtriumFreeWall):
ravNodeId[1][1].append(iter.next().getIdentifier())
ravNodeId[1][1].append(cfbUpperNodeId)
for n1 in range(elementsCountAroundAtrialSeptum - 1):
ravNodeId[1][1].append(None) # no outer node on interatrial septum
#for n2 in range(2):
# print('n2', n2)
# print('lavNodeId[0]', lavNodeId[0][n2])
# print('lavNodeId[1]', lavNodeId[1][n2])
# print('ravNodeId[0]', ravNodeId[0][n2])
# print('ravNodeId[1]', ravNodeId[1][n2])
#################
# Create elements
#################
lFibrousRingMeshGroup = lFibrousRingGroup.getMeshGroup(mesh)
rFibrousRingMeshGroup = rFibrousRingGroup.getMeshGroup(mesh)
elementIdentifier = getMaximumElementIdentifier(mesh) + 1
elementtemplate1 = mesh.createElementtemplate()
elementtemplate1.setElementShapeType(Element.SHAPE_TYPE_CUBE)
# create fibrous ring elements
bicubichermitelinear = eftfactory_bicubichermitelinear(
mesh,
useCrossDerivatives,
linearAxis=2,
d_ds1=Node.VALUE_LABEL_D_DS1,
d_ds2=Node.VALUE_LABEL_D_DS3)
eftFibrousRing = bicubichermitelinear.createEftBasic()
# left fibrous ring, starting at crux / collapsed posterior interatrial sulcus
cruxElementId = None
for e in range(-1, elementsCountAroundLeftAtriumFreeWall):
eft1 = eftFibrousRing
n1 = e
nids = [
lavNodeId[0][0][n1], lavNodeId[0][0][n1 + 1],
lavNodeId[0][1][n1], lavNodeId[0][1][n1 + 1],
lavNodeId[1][0][n1], lavNodeId[1][0][n1 + 1],
lavNodeId[1][1][n1], lavNodeId[1][1][n1 + 1]
]
scalefactors = None
meshGroups = [lFibrousRingMeshGroup]
if e == -1:
# interatrial groove straddles left and right atria, collapsed to 6 node wedge
nids[0] = ravNodeId[0][0][
elementsCountAroundRightAtriumFreeWall]
nids[2] = ravNodeId[0][1][
elementsCountAroundRightAtriumFreeWall]
nids.pop(6)
nids.pop(4)
eft1 = bicubichermitelinear.createEftNoCrossDerivatives()
setEftScaleFactorIds(eft1, [1], [])
scalefactors = [-1.0]
remapEftNodeValueLabel(eft1, [1, 3], Node.VALUE_LABEL_D_DS1,
[(Node.VALUE_LABEL_D_DS1, []),
(Node.VALUE_LABEL_D_DS3, [])])
remapEftNodeValueLabel(eft1, [2, 4], Node.VALUE_LABEL_D_DS1,
[(Node.VALUE_LABEL_D_DS1, []),
(Node.VALUE_LABEL_D_DS3, [1])])
remapEftNodeValueLabel(eft1, [5, 6, 7, 8],
Node.VALUE_LABEL_D_DS1, [])
# reverse d3 on cfb:
remapEftNodeValueLabel(eft1, [5], Node.VALUE_LABEL_D_DS3,
[(Node.VALUE_LABEL_D_DS1, [1]),
(Node.VALUE_LABEL_D_DS3, [1])])
remapEftNodeValueLabel(eft1, [6], Node.VALUE_LABEL_D_DS3,
[(Node.VALUE_LABEL_D_DS1, [0]),
(Node.VALUE_LABEL_D_DS3, [1])])
remapEftNodeValueLabel(eft1, [7], Node.VALUE_LABEL_D_DS3,
[(Node.VALUE_LABEL_D_DS1, []),
(Node.VALUE_LABEL_D_DS3, [])])
remapEftNodeValueLabel(eft1, [8], Node.VALUE_LABEL_D_DS3,
[(Node.VALUE_LABEL_D_DS1, [1]),
(Node.VALUE_LABEL_D_DS3, [])])
ln_map = [1, 2, 3, 4, 5, 5, 6, 6]
remapEftLocalNodes(eft1, 6, ln_map)
meshGroups += [rFibrousRingMeshGroup]
elif e == 0:
# general linear map d3 adjacent to collapsed sulcus
eft1 = bicubichermitelinear.createEftNoCrossDerivatives()
setEftScaleFactorIds(eft1, [1], [])
scalefactors = [-1.0]
# reverse d1, d3 on cfb, left cfb:
scaleEftNodeValueLabels(
eft1, [6],
[Node.VALUE_LABEL_D_DS1, Node.VALUE_LABEL_D_DS3], [1])
remapEftNodeValueLabel(eft1, [5], Node.VALUE_LABEL_D_DS1,
[(Node.VALUE_LABEL_D_DS1, [1])])
remapEftNodeValueLabel(eft1, [5], Node.VALUE_LABEL_D_DS3,
[(Node.VALUE_LABEL_D_DS1, []),
(Node.VALUE_LABEL_D_DS3, [1])])
remapEftNodeValueLabel(eft1, [7], Node.VALUE_LABEL_D_DS3,
[(Node.VALUE_LABEL_D_DS1, [1]),
(Node.VALUE_LABEL_D_DS3, [])])
elif e == 1:
# reverse d1, d3 on left cfb:
eft1 = bicubichermitelinear.createEftNoCrossDerivatives()
setEftScaleFactorIds(eft1, [1], [])
scalefactors = [-1.0]
remapEftNodeValueLabel(eft1, [5], Node.VALUE_LABEL_D_DS1,
[(Node.VALUE_LABEL_D_DS1, [1]),
(Node.VALUE_LABEL_D_DS3, [])])
remapEftNodeValueLabel(eft1, [5], Node.VALUE_LABEL_D_DS3,
[(Node.VALUE_LABEL_D_DS3, [1])])
elif e == (elementsCountAroundLeftAtriumFreeWall - 1):
# general linear map d3 adjacent to collapsed sulcus
eft1 = bicubichermitelinear.createEftNoCrossDerivatives()
setEftScaleFactorIds(eft1, [1], [])
scalefactors = [-1.0]
remapEftNodeValueLabel(eft1, [6, 8], Node.VALUE_LABEL_D_DS3,
[(Node.VALUE_LABEL_D_DS1, []),
(Node.VALUE_LABEL_D_DS3, [])])
result = elementtemplate1.defineField(coordinates, -1, eft1)
element = mesh.createElement(elementIdentifier, elementtemplate1)
result2 = element.setNodesByIdentifier(eft1, nids)
result3 = element.setScaleFactors(
eft1, scalefactors) if scalefactors else None
#print('create element fibrous ring left', elementIdentifier, result, result2, result3, nids)
elementIdentifier += 1
for meshGroup in meshGroups:
meshGroup.addElement(element)
# right fibrous ring, starting at crux / collapsed posterior interatrial sulcus
for e in range(-1, elementsCountAroundRightAtriumFreeWall):
eft1 = eftFibrousRing
n1 = e
nids = [
ravNodeId[0][0][n1], ravNodeId[0][0][n1 + 1],
ravNodeId[0][1][n1], ravNodeId[0][1][n1 + 1],
ravNodeId[1][0][n1], ravNodeId[1][0][n1 + 1],
ravNodeId[1][1][n1], ravNodeId[1][1][n1 + 1]
]
scalefactors = None
meshGroups = [rFibrousRingMeshGroup]
if e == -1:
# interatrial groove straddles left and right atria, collapsed to 6 node wedge
nids[0] = lavNodeId[0][0][
elementsCountAroundLeftAtriumFreeWall]
nids[2] = lavNodeId[0][1][
elementsCountAroundLeftAtriumFreeWall]
nids.pop(6)
nids.pop(4)
eft1 = bicubichermitelinear.createEftNoCrossDerivatives()
setEftScaleFactorIds(eft1, [1], [])
scalefactors = [-1.0]
remapEftNodeValueLabel(eft1, [1, 3], Node.VALUE_LABEL_D_DS1,
[(Node.VALUE_LABEL_D_DS1, []),
(Node.VALUE_LABEL_D_DS3, [])])
remapEftNodeValueLabel(eft1, [2, 4], Node.VALUE_LABEL_D_DS1,
[(Node.VALUE_LABEL_D_DS1, []),
(Node.VALUE_LABEL_D_DS3, [1])])
remapEftNodeValueLabel(eft1, [5, 6, 7, 8],
Node.VALUE_LABEL_D_DS1, [])
remapEftNodeValueLabel(eft1, [5, 7], Node.VALUE_LABEL_D_DS3,
[(Node.VALUE_LABEL_D_DS1, []),
(Node.VALUE_LABEL_D_DS3, [])])
remapEftNodeValueLabel(eft1, [6, 8], Node.VALUE_LABEL_D_DS3,
[(Node.VALUE_LABEL_D_DS1, [1]),
(Node.VALUE_LABEL_D_DS3, [])])
ln_map = [1, 2, 3, 4, 5, 5, 6, 6]
remapEftLocalNodes(eft1, 6, ln_map)
meshGroups += [lFibrousRingMeshGroup]
cruxElementId = elementIdentifier
elif e == 0:
# general linear map d3 adjacent to collapsed crux/posterior sulcus
eft1 = bicubichermitelinear.createEftNoCrossDerivatives()
setEftScaleFactorIds(eft1, [1], [])
scalefactors = [-1.0]
remapEftNodeValueLabel(eft1, [5, 7], Node.VALUE_LABEL_D_DS3,
[(Node.VALUE_LABEL_D_DS1, [1]),
(Node.VALUE_LABEL_D_DS3, [])])
elif e == (elementsCountAroundRightAtriumFreeWall - 2):
# reverse d1, d3 on right cfb:
eft1 = bicubichermitelinear.createEftNoCrossDerivatives()
setEftScaleFactorIds(eft1, [1], [])
scalefactors = [-1.0]
remapEftNodeValueLabel(eft1, [6], Node.VALUE_LABEL_D_DS1,
[(Node.VALUE_LABEL_D_DS1, [1]),
(Node.VALUE_LABEL_D_DS3, [1])])
remapEftNodeValueLabel(eft1, [6], Node.VALUE_LABEL_D_DS3,
[(Node.VALUE_LABEL_D_DS3, [1])])
elif e == (elementsCountAroundRightAtriumFreeWall - 1):
# general linear map d3 adjacent to collapsed cfb/anterior sulcus
eft1 = bicubichermitelinear.createEftNoCrossDerivatives()
setEftScaleFactorIds(eft1, [1], [])
scalefactors = [-1.0]
# reverse d1, d3 on right cfb, cfb:
scaleEftNodeValueLabels(
eft1, [5],
[Node.VALUE_LABEL_D_DS1, Node.VALUE_LABEL_D_DS3], [1])
remapEftNodeValueLabel(eft1, [6], Node.VALUE_LABEL_D_DS1,
[(Node.VALUE_LABEL_D_DS1, [1])])
remapEftNodeValueLabel(eft1, [6], Node.VALUE_LABEL_D_DS3,
[(Node.VALUE_LABEL_D_DS1, [1]),
(Node.VALUE_LABEL_D_DS3, [1])])
remapEftNodeValueLabel(eft1, [8], Node.VALUE_LABEL_D_DS3,
[(Node.VALUE_LABEL_D_DS1, []),
(Node.VALUE_LABEL_D_DS3, [])])
result = elementtemplate1.defineField(coordinates, -1, eft1)
element = mesh.createElement(elementIdentifier, elementtemplate1)
result2 = element.setNodesByIdentifier(eft1, nids)
result3 = element.setScaleFactors(
eft1, scalefactors) if scalefactors else None
#print('create element fibrous ring right', elementIdentifier, result, result2, result3, nids)
elementIdentifier += 1
for meshGroup in meshGroups:
meshGroup.addElement(element)
# fibrous ring septum:
meshGroups = [lFibrousRingMeshGroup, rFibrousRingMeshGroup]
for e in range(elementsCountAroundAtrialSeptum):
eft1 = eftFibrousRing
nlm = e - elementsCountAroundAtrialSeptum
nlp = nlm + 1
nrm = -e
nrp = nrm - 1
nids = [
lavNodeId[0][0][nlm], lavNodeId[0][0][nlp],
lavNodeId[0][1][nlm], lavNodeId[0][1][nlp],
ravNodeId[0][0][nrm], ravNodeId[0][0][nrp],
ravNodeId[0][1][nrm], ravNodeId[0][1][nrp]
]
eft1 = bicubichermitelinear.createEftNoCrossDerivatives()
setEftScaleFactorIds(eft1, [1], [])
scalefactors = [-1.0]
if e == 0:
# general linear map d3 adjacent to collapsed posterior interventricular sulcus
scaleEftNodeValueLabels(eft1, [5, 6, 7, 8],
[Node.VALUE_LABEL_D_DS1], [1])
scaleEftNodeValueLabels(eft1, [6, 8], [Node.VALUE_LABEL_D_DS3],
[1])
remapEftNodeValueLabel(eft1, [1, 3], Node.VALUE_LABEL_D_DS3,
[(Node.VALUE_LABEL_D_DS1, []),
(Node.VALUE_LABEL_D_DS3, [])])
remapEftNodeValueLabel(eft1, [5, 7], Node.VALUE_LABEL_D_DS3,
[(Node.VALUE_LABEL_D_DS1, []),
(Node.VALUE_LABEL_D_DS3, [1])])
elif e == (elementsCountAroundAtrialSeptum - 1):
# general linear map d3 adjacent to cfb
scaleEftNodeValueLabels(eft1, [5, 6, 7, 8],
[Node.VALUE_LABEL_D_DS1], [1])
scaleEftNodeValueLabels(eft1, [5, 7], [Node.VALUE_LABEL_D_DS3],
[1])
remapEftNodeValueLabel(eft1, [2, 4], Node.VALUE_LABEL_D_DS3,
[(Node.VALUE_LABEL_D_DS1, [1]),
(Node.VALUE_LABEL_D_DS3, [])])
remapEftNodeValueLabel(eft1, [6, 8], Node.VALUE_LABEL_D_DS3,
[(Node.VALUE_LABEL_D_DS1, [1]),
(Node.VALUE_LABEL_D_DS3, [1])])
else:
scaleEftNodeValueLabels(
eft1, [5, 6, 7, 8],
[Node.VALUE_LABEL_D_DS1, Node.VALUE_LABEL_D_DS3], [1])
result = elementtemplate1.defineField(coordinates, -1, eft1)
element = mesh.createElement(elementIdentifier, elementtemplate1)
result2 = element.setNodesByIdentifier(eft1, nids)
result3 = element.setScaleFactors(
eft1, scalefactors) if scalefactors else None
#print('create element fibrous ring septum', elementIdentifier, result, result2, result3, nids)
elementIdentifier += 1
for meshGroup in meshGroups:
meshGroup.addElement(element)
# annotation fiducial points
cruxElement = mesh.findElementByIdentifier(cruxElementId)
cruxXi = [0.5, 0.5, 1.0]
cache.setMeshLocation(cruxElement, cruxXi)
result, cruxCoordinates = coordinates.evaluateReal(cache, 3)
markerPoint = markerPoints.createNode(nodeIdentifier,
markerTemplateInternal)
nodeIdentifier += 1
cache.setNode(markerPoint)
markerName.assignString(cache, "crux of heart")
markerLocation.assignMeshLocation(cache, cruxElement, cruxXi)
return annotationGroups
def generateBaseMesh(cls, region, options, baseCentre=[ 0.0, 0.0, 0.0 ], axisSide1=[ 0.0, -1.0, 0.0 ], axisUp=[ 0.0, 0.0, 1.0]):
"""
Generate the base bicubic-linear Hermite mesh.
Optional extra parameters allow centre and axes to be set.
:param region: Zinc region to define model in. Must be empty.
:param options: Dict containing options. See getDefaultOptions().
:param baseCentre: Centre of valve on ventriculo-arterial junction.
:param axisSide: Unit vector in first side direction where angle around starts.
:param axisUp: Unit vector in outflow direction of valve.
:return: list of AnnotationGroup
"""
unitScale = options['Unit scale']
outerHeight = unitScale*options['Outer height']
innerDepth = unitScale*options['Inner depth']
cuspHeight = unitScale*options['Cusp height']
innerRadius = unitScale*0.5*options['Inner diameter']
sinusRadialDisplacement = unitScale*options['Sinus radial displacement']
wallThickness = unitScale*options['Wall thickness']
cuspThickness = unitScale*options['Cusp thickness']
aorticNotPulmonary = options['Aortic not pulmonary']
useCrossDerivatives = False
fm = region.getFieldmodule()
fm.beginChange()
coordinates = findOrCreateFieldCoordinates(fm)
cache = fm.createFieldcache()
mesh = fm.findMeshByDimension(3)
if aorticNotPulmonary:
arterialRootGroup = AnnotationGroup(region, get_heart_term("root of aorta"))
cuspGroups = [
AnnotationGroup(region, get_heart_term("posterior cusp of aortic valve")),
AnnotationGroup(region, get_heart_term("right cusp of aortic valve")),
AnnotationGroup(region, get_heart_term("left cusp of aortic valve")) ]
else:
arterialRootGroup = AnnotationGroup(region, get_heart_term("root of pulmonary trunk"))
cuspGroups = [
AnnotationGroup(region, get_heart_term("right cusp of pulmonary valve")),
AnnotationGroup(region, get_heart_term("anterior cusp of pulmonary valve")),
AnnotationGroup(region, get_heart_term("left cusp of pulmonary valve")) ]
allGroups = [ arterialRootGroup ] # groups that all elements in scaffold will go in
annotationGroups = allGroups + cuspGroups
nodes = fm.findNodesetByFieldDomainType(Field.DOMAIN_TYPE_NODES)
#################
# Create nodes
#################
nodetemplate = nodes.createNodetemplate()
nodetemplate.defineField(coordinates)
nodetemplate.setValueNumberOfVersions(coordinates, -1, Node.VALUE_LABEL_VALUE, 1)
nodetemplate.setValueNumberOfVersions(coordinates, -1, Node.VALUE_LABEL_D_DS1, 1)
nodetemplate.setValueNumberOfVersions(coordinates, -1, Node.VALUE_LABEL_D_DS2, 1)
nodetemplate.setValueNumberOfVersions(coordinates, -1, Node.VALUE_LABEL_D_DS3, 1)
# most nodes in this scaffold do not have a DS3 derivative
nodetemplateLinearS3 = nodes.createNodetemplate()
nodetemplateLinearS3.defineField(coordinates)
nodetemplateLinearS3.setValueNumberOfVersions(coordinates, -1, Node.VALUE_LABEL_VALUE, 1)
nodetemplateLinearS3.setValueNumberOfVersions(coordinates, -1, Node.VALUE_LABEL_D_DS1, 1)
nodetemplateLinearS3.setValueNumberOfVersions(coordinates, -1, Node.VALUE_LABEL_D_DS2, 1)
# several only have a DS1 derivative
nodetemplateLinearS2S3 = nodes.createNodetemplate()
nodetemplateLinearS2S3.defineField(coordinates)
nodetemplateLinearS2S3.setValueNumberOfVersions(coordinates, -1, Node.VALUE_LABEL_VALUE, 1)
nodetemplateLinearS2S3.setValueNumberOfVersions(coordinates, -1, Node.VALUE_LABEL_D_DS1, 1)
nodeIdentifier = max(1, getMaximumNodeIdentifier(nodes) + 1)
elementsCountAround = 6
radiansPerElementAround = 2.0*math.pi/elementsCountAround
axisSide2 = vector.crossproduct3(axisUp, axisSide1)
outerRadius = innerRadius + wallThickness
cuspOuterLength2 = 0.5*getApproximateEllipsePerimeter(innerRadius, cuspHeight)
cuspOuterWallArcLength = cuspOuterLength2*innerRadius/(innerRadius + cuspHeight)
noduleOuterAxialArcLength = cuspOuterLength2 - cuspOuterWallArcLength
noduleOuterRadialArcLength = innerRadius
cuspOuterWalld1 = interp.interpolateLagrangeHermiteDerivative([ innerRadius, outerHeight + innerDepth - cuspHeight ], [ 0.0, 0.0 ], [ -innerRadius, 0.0 ], 0.0)
sin60 = math.sin(math.pi/3.0)
cuspThicknessLowerFactor = 4.5 # GRC fudge factor
cuspInnerLength2 = 0.5*getApproximateEllipsePerimeter(innerRadius - cuspThickness/sin60, cuspHeight - cuspThicknessLowerFactor*cuspThickness)
noduleInnerAxialArcLength = cuspInnerLength2*(cuspHeight - cuspThicknessLowerFactor*cuspThickness)/(innerRadius - cuspThickness/sin60 + cuspHeight - cuspThicknessLowerFactor*cuspThickness)
noduleInnerRadialArcLength = innerRadius - cuspThickness/math.tan(math.pi/3.0)
nMidCusp = 0 if aorticNotPulmonary else 1
# lower points
ix, id1 = createCirclePoints([ (baseCentre[c] - axisUp[c]*innerDepth) for c in range(3) ],
[ axisSide1[c]*innerRadius for c in range(3) ], [ axisSide2[c]*innerRadius for c in range(3) ],
elementsCountAround)
ox, od1 = getSemilunarValveSinusPoints(baseCentre, axisSide1, axisSide2, outerRadius, sinusRadialDisplacement,
startMidCusp=aorticNotPulmonary)
lowerx, lowerd1 = [ ix, ox ], [ id1, od1 ]
# upper points
topCentre = [ (baseCentre[c] + axisUp[c]*outerHeight) for c in range(3) ]
# twice as many on inner:
ix, id1 = createCirclePoints(topCentre,
[ axisSide1[c]*innerRadius for c in range(3) ], [ axisSide2[c]*innerRadius for c in range(3) ],
elementsCountAround*2)
# tweak inner points so elements attached to cusps are narrower
cuspRadiansFactor = 0.25 # GRC fudge factor
midDerivativeFactor = 1.0 + 0.5*(1.0 - cuspRadiansFactor) # GRC test compromise
cuspAttachmentRadians = cuspRadiansFactor*radiansPerElementAround
cuspAttachmentRadialDisplacement = wallThickness*0.333 # GRC fudge factor
cuspAttachmentRadius = innerRadius - cuspAttachmentRadialDisplacement
for cusp in range(3):
n1 = cusp*2 - 1 + nMidCusp
n2 = n1*2
id1[n2 + 2] = [ 2.0*d for d in id1[n2 + 2] ]
# side 1
radiansAround = n1*radiansPerElementAround + cuspAttachmentRadians
rcosRadiansAround = cuspAttachmentRadius*math.cos(radiansAround)
rsinRadiansAround = cuspAttachmentRadius*math.sin(radiansAround)
ix[n2 + 1] = [ (topCentre[c] + rcosRadiansAround*axisSide1[c] + rsinRadiansAround*axisSide2[c]) for c in range(3) ]
id1[n2 + 1] = interp.interpolateLagrangeHermiteDerivative(ix[n2 + 1], ix[n2 + 2], id1[n2 + 2], 0.0)
# side 2
n1 = ((cusp + 1)*2 - 1 + nMidCusp)%elementsCountAround
n2 = n1*2
radiansAround = n1*radiansPerElementAround - cuspAttachmentRadians
rcosRadiansAround = cuspAttachmentRadius*math.cos(radiansAround)
rsinRadiansAround = cuspAttachmentRadius*math.sin(radiansAround)
ix[n2 - 1] = [ (topCentre[c] + rcosRadiansAround*axisSide1[c] + rsinRadiansAround*axisSide2[c]) for c in range(3) ]
id1[n2 - 1] = interp.interpolateHermiteLagrangeDerivative(ix[n2 - 2], id1[n2 - 2], ix[n2 - 1], 1.0)
ox, od1 = createCirclePoints(topCentre,
[ axisSide1[c]*outerRadius for c in range(3) ], [ axisSide2[c]*outerRadius for c in range(3) ],
elementsCountAround)
upperx, upperd1 = [ ix, ox ], [ id1, od1 ]
# get lower and upper derivative 2
zero = [ 0.0, 0.0, 0.0 ]
upperd2factor = outerHeight
upd2 = [ d*upperd2factor for d in axisUp ]
lowerOuterd2 = interp.smoothCubicHermiteDerivativesLine([ lowerx[1][nMidCusp], upperx[1][nMidCusp] ], [ upd2, upd2 ],
fixStartDirection=True, fixEndDerivative=True)[0]
lowerd2factor = 2.0*(outerHeight + innerDepth) - upperd2factor
lowerInnerd2 = [ d*lowerd2factor for d in axisUp ]
lowerd2 = [ [ lowerInnerd2 ]*elementsCountAround, [ lowerOuterd2 ]*elementsCountAround ] # some lowerd2[0] to be fitted below
upperd2 = [ [ upd2 ]*(elementsCountAround*2), [ upd2 ]*elementsCountAround ]
# get lower and upper derivative 1 or 2 pointing to/from cusps
for n1 in range(elementsCountAround):
radiansAround = n1*radiansPerElementAround
cosRadiansAround = math.cos(radiansAround)
sinRadiansAround = math.sin(radiansAround)
if (n1 % 2) == nMidCusp:
lowerd2[0][n1] = [ -cuspOuterWallArcLength*(cosRadiansAround*axisSide1[c] + sinRadiansAround*axisSide2[c]) for c in range(3) ]
else:
upperd1[0][n1*2] = [ (cuspOuterWalld1[0]*(cosRadiansAround*axisSide1[c] + sinRadiansAround*axisSide2[c]) + cuspOuterWalld1[1]*axisUp[c]) for c in range(3) ]
# inner wall and mid sinus points; only every second one is used
sinusDepth = innerDepth - cuspThicknessLowerFactor*cuspThickness # GRC test
sinusCentre = [ (baseCentre[c] - sinusDepth*axisUp[c]) for c in range(3) ]
sinusx, sinusd1 = createCirclePoints(sinusCentre,
[ axisSide1[c]*innerRadius for c in range(3) ], [ axisSide2[c]*innerRadius for c in range(3) ],
elementsCountAround)
# get sinusd2, parallel to lower inclined lines
sd2 = interp.smoothCubicHermiteDerivativesLine([ [ innerRadius, -sinusDepth ], [ innerRadius, outerHeight ] ],
[ [ wallThickness + sinusRadialDisplacement, innerDepth ], [ 0.0, upperd2factor ] ],
fixStartDirection=True, fixEndDerivative=True)[0]
sinusd2 = [ None ]*elementsCountAround
for cusp in range(3):
n1 = cusp*2 + nMidCusp
radiansAround = n1*radiansPerElementAround
cosRadiansAround = math.cos(radiansAround)
sinRadiansAround = math.sin(radiansAround)
sinusd2[n1] = [ (sd2[0]*(cosRadiansAround*axisSide1[c] + sinRadiansAround*axisSide2[c]) + sd2[1]*axisUp[c]) for c in range(3) ]
# get points on arc between mid sinus and upper cusp points
arcx = []
arcd1 = []
scaled1 = 2.5 # GRC fudge factor
for cusp in range(3):
n1 = cusp*2 + nMidCusp
n1m = n1 - 1
n1p = (n1 + 1)%elementsCountAround
n2m = n1m*2 + 1
n2p = n1p*2 - 1
ax, ad1 = interp.sampleCubicHermiteCurves([ upperx[0][n2m], sinusx[n1] ], [ [ -scaled1*d for d in upperd2[0][n2m] ], [ scaled1*d for d in sinusd1[n1] ] ],
elementsCountOut=2, addLengthStart=0.5*vector.magnitude(upperd2[0][n2m]), lengthFractionStart=0.5,
addLengthEnd=0.5*vector.magnitude(sinusd1[n1]), lengthFractionEnd=0.5, arcLengthDerivatives=False)[0:2]
arcx .append(ax [1])
arcd1.append(ad1[1])
ax, ad1 = interp.sampleCubicHermiteCurves([ sinusx[n1], upperx[0][n2p], ], [ [ scaled1*d for d in sinusd1[n1] ], [ scaled1*d for d in upperd2[0][n2p] ] ],
elementsCountOut=2, addLengthStart=0.5*vector.magnitude(sinusd1[n1]), lengthFractionStart=0.5,
addLengthEnd=0.5*vector.magnitude(upperd2[0][n2p]), lengthFractionEnd=0.5, arcLengthDerivatives=False)[0:2]
arcx .append(ax [1])
arcd1.append(ad1[1])
if nMidCusp == 0:
arcx .append(arcx .pop(0))
arcd1.append(arcd1.pop(0))
# cusp nodule points
noduleCentre = [ (baseCentre[c] + axisUp[c]*(cuspHeight - innerDepth)) for c in range(3) ]
nodulex = [ [], [] ]
noduled1 = [ [], [] ]
noduled2 = [ [], [] ]
noduled3 = [ [], [] ]
cuspRadialThickness = cuspThickness/sin60
for i in range(3):
nodulex[0].append(noduleCentre)
n1 = i*2 + nMidCusp
radiansAround = n1*radiansPerElementAround
cosRadiansAround = math.cos(radiansAround)
sinRadiansAround = math.sin(radiansAround)
nodulex[1].append([ (noduleCentre[c] + cuspRadialThickness*(cosRadiansAround*axisSide1[c] + sinRadiansAround*axisSide2[c])) for c in range(3) ])
n1 = i*2 - 1 + nMidCusp
radiansAround = n1*radiansPerElementAround
cosRadiansAround = math.cos(radiansAround)
sinRadiansAround = math.sin(radiansAround)
noduled1[0].append([ noduleOuterRadialArcLength*(cosRadiansAround*axisSide1[c] + sinRadiansAround*axisSide2[c]) for c in range(3) ])
noduled1[1].append(vector.setMagnitude(noduled1[0][i], noduleInnerRadialArcLength))
n1 = i*2 + 1 + nMidCusp
radiansAround = n1*radiansPerElementAround
cosRadiansAround = math.cos(radiansAround)
sinRadiansAround = math.sin(radiansAround)
noduled2[0].append([ noduleOuterRadialArcLength*(cosRadiansAround*axisSide1[c] + sinRadiansAround*axisSide2[c]) for c in range(3) ])
noduled2[1].append(vector.setMagnitude(noduled2[0][i], noduleInnerRadialArcLength))
noduled3[0].append([ noduleOuterAxialArcLength*axisUp[c] for c in range(3) ])
noduled3[1].append([ noduleInnerAxialArcLength*axisUp[c] for c in range(3) ])
# Create nodes
lowerNodeId = [ [], [] ]
for n3 in range(2):
for n1 in range(elementsCountAround):
node = nodes.createNode(nodeIdentifier, nodetemplateLinearS3)
cache.setNode(node)
coordinates.setNodeParameters(cache, -1, Node.VALUE_LABEL_VALUE, 1, lowerx [n3][n1])
coordinates.setNodeParameters(cache, -1, Node.VALUE_LABEL_D_DS1, 1, lowerd1[n3][n1])
coordinates.setNodeParameters(cache, -1, Node.VALUE_LABEL_D_DS2, 1, lowerd2[n3][n1])
lowerNodeId[n3].append(nodeIdentifier)
nodeIdentifier += 1
sinusNodeId = []
for n1 in range(elementsCountAround):
if (n1%2) != nMidCusp:
sinusNodeId.append(None)
continue
node = nodes.createNode(nodeIdentifier, nodetemplateLinearS3)
cache.setNode(node)
coordinates.setNodeParameters(cache, -1, Node.VALUE_LABEL_VALUE, 1, sinusx [n1])
coordinates.setNodeParameters(cache, -1, Node.VALUE_LABEL_D_DS1, 1, sinusd1[n1])
coordinates.setNodeParameters(cache, -1, Node.VALUE_LABEL_D_DS2, 1, sinusd2[n1])
sinusNodeId.append(nodeIdentifier)
nodeIdentifier += 1
arcNodeId = []
for n1 in range(elementsCountAround):
node = nodes.createNode(nodeIdentifier, nodetemplateLinearS2S3)
cache.setNode(node)
coordinates.setNodeParameters(cache, -1, Node.VALUE_LABEL_VALUE, 1, arcx [n1])
coordinates.setNodeParameters(cache, -1, Node.VALUE_LABEL_D_DS1, 1, arcd1[n1])
arcNodeId.append(nodeIdentifier)
nodeIdentifier += 1
noduleNodeId = [ [], [] ]
for n3 in range(2):
for n1 in range(3):
node = nodes.createNode(nodeIdentifier, nodetemplate)
cache.setNode(node)
coordinates.setNodeParameters(cache, -1, Node.VALUE_LABEL_VALUE, 1, nodulex [n3][n1])
coordinates.setNodeParameters(cache, -1, Node.VALUE_LABEL_D_DS1, 1, noduled1[n3][n1])
coordinates.setNodeParameters(cache, -1, Node.VALUE_LABEL_D_DS2, 1, noduled2[n3][n1])
coordinates.setNodeParameters(cache, -1, Node.VALUE_LABEL_D_DS3, 1, noduled3[n3][n1])
noduleNodeId[n3].append(nodeIdentifier)
nodeIdentifier += 1
upperNodeId = [ [], [] ]
for n3 in range(2):
for n1 in range(len(upperx[n3])):
node = nodes.createNode(nodeIdentifier, nodetemplateLinearS3)
cache.setNode(node)
coordinates.setNodeParameters(cache, -1, Node.VALUE_LABEL_VALUE, 1, upperx [n3][n1])
coordinates.setNodeParameters(cache, -1, Node.VALUE_LABEL_D_DS1, 1, upperd1[n3][n1])
coordinates.setNodeParameters(cache, -1, Node.VALUE_LABEL_D_DS2, 1, upperd2[n3][n1])
upperNodeId[n3].append(nodeIdentifier)
nodeIdentifier += 1
#################
# Create elements
#################
allMeshGroups = [ allGroup.getMeshGroup(mesh) for allGroup in allGroups ]
cuspMeshGroups = [ cuspGroup.getMeshGroup(mesh) for cuspGroup in cuspGroups ]
linearHermiteLinearBasis = fm.createElementbasis(3, Elementbasis.FUNCTION_TYPE_LINEAR_LAGRANGE)
linearHermiteLinearBasis.setFunctionType(2, Elementbasis.FUNCTION_TYPE_CUBIC_HERMITE)
hermiteLinearLinearBasis = fm.createElementbasis(3, Elementbasis.FUNCTION_TYPE_LINEAR_LAGRANGE)
hermiteLinearLinearBasis.setFunctionType(1, Elementbasis.FUNCTION_TYPE_CUBIC_HERMITE)
bicubichermitelinear = eftfactory_bicubichermitelinear(mesh, useCrossDerivatives)
eftDefault = bicubichermitelinear.createEftNoCrossDerivatives()
elementIdentifier = max(1, getMaximumElementIdentifier(mesh) + 1)
elementtemplate1 = mesh.createElementtemplate()
elementtemplate1.setElementShapeType(Element.SHAPE_TYPE_CUBE)
# wall elements
for cusp in range(3):
n1 = cusp*2 - 1 + nMidCusp
n2 = n1*2
for e in range(6):
eft1 = None
scalefactors = None
if (e == 0) or (e == 5):
# 6 node linear-hermite-linear collapsed wedge element expanding from zero width on outer wall of root, attaching to vertical part of cusp
eft1 = mesh.createElementfieldtemplate(linearHermiteLinearBasis)
# switch mappings to use DS2 instead of default DS1
remapEftNodeValueLabel(eft1, [ 1, 2, 3, 4, 5, 6, 7, 8 ], Node.VALUE_LABEL_D_DS1, [ ( Node.VALUE_LABEL_D_DS2, [] ) ])
if e == 0:
nids = [ lowerNodeId[0][n1], arcNodeId[n1], upperNodeId[0][n2], upperNodeId[0][n2 + 1], lowerNodeId[1][n1], upperNodeId[1][n1] ]
setEftScaleFactorIds(eft1, [1], [])
scalefactors = [ -1.0 ]
remapEftNodeValueLabel(eft1, [ 2 ], Node.VALUE_LABEL_D_DS2, [ ( Node.VALUE_LABEL_D_DS1, [1] ) ])
else:
nids = [ arcNodeId[n1 + 1], lowerNodeId[0][n1 - 4], upperNodeId[0][n2 + 3], upperNodeId[0][n2 - 8], lowerNodeId[1][n1 - 4], upperNodeId[1][n1 - 4] ]
remapEftNodeValueLabel(eft1, [ 1 ], Node.VALUE_LABEL_D_DS2, [ ( Node.VALUE_LABEL_D_DS1, [] ) ])
ln_map = [ 1, 2, 3, 4, 5, 5, 6, 6 ]
remapEftLocalNodes(eft1, 6, ln_map)
elif (e == 1) or (e == 4):
# 6 node hermite-linear-linear collapsed wedge element on lower wall
eft1 = mesh.createElementfieldtemplate(hermiteLinearLinearBasis)
if e == 1:
nids = [ lowerNodeId[0][n1], lowerNodeId[0][n1 + 1], arcNodeId[n1], sinusNodeId[n1 + 1], lowerNodeId[1][n1], lowerNodeId[1][n1 + 1] ]
else:
nids = [ lowerNodeId[0][n1 + 1], lowerNodeId[0][n1 - 4], sinusNodeId[n1 + 1], arcNodeId[n1 + 1], lowerNodeId[1][n1 + 1], lowerNodeId[1][n1 - 4] ]
ln_map = [ 1, 2, 3, 4, 5, 6, 5, 6 ]
remapEftLocalNodes(eft1, 6, ln_map)
else:
# 8 node elements with wedges on two sides
if e == 2:
eft1 = bicubichermitelinear.createEftNoCrossDerivatives()
setEftScaleFactorIds(eft1, [1], [])
scalefactors = [ -1.0 ]
nids = [ arcNodeId[n1], sinusNodeId[n1 + 1], upperNodeId[0][n2 + 1], upperNodeId[0][n2 + 2],
lowerNodeId[1][n1], lowerNodeId[1][n1 + 1], upperNodeId[1][n1], upperNodeId[1][n1 + 1] ]
remapEftNodeValueLabel(eft1, [ 1 ], Node.VALUE_LABEL_D_DS2, [ ( Node.VALUE_LABEL_D_DS1, [1] ) ])
else:
eft1 = eftDefault
nids = [ sinusNodeId[n1 + 1], arcNodeId[n1 + 1], upperNodeId[0][n2 + 2], upperNodeId[0][n2 + 3],
lowerNodeId[1][n1 + 1], lowerNodeId[1][n1 - 4], upperNodeId[1][n1 + 1], upperNodeId[1][n1 - 4] ]
remapEftNodeValueLabel(eft1, [ 2 ], Node.VALUE_LABEL_D_DS2, [ ( Node.VALUE_LABEL_D_DS1, [] ) ])
result = elementtemplate1.defineField(coordinates, -1, eft1)
element = mesh.createElement(elementIdentifier, elementtemplate1)
result2 = element.setNodesByIdentifier(eft1, nids)
result3 = element.setScaleFactors(eft1, scalefactors) if scalefactors else None
#print('create arterial root wall', cusp, e, 'element',elementIdentifier, result, result2, result3, nids)
elementIdentifier += 1
for meshGroup in allMeshGroups:
meshGroup.addElement(element)
# cusps (leaflets)
for cusp in range(3):
n1 = cusp*2 - 1 + nMidCusp
n2 = n1*2
meshGroups = allMeshGroups + [ cuspMeshGroups[cusp] ]
for e in range(2):
eft1 = bicubichermitelinear.createEftNoCrossDerivatives()
setEftScaleFactorIds(eft1, [1], [])
scalefactors = [ -1.0 ]
if e == 0:
nids = [ lowerNodeId[0][n1], lowerNodeId[0][n1 + 1], upperNodeId[0][n2], noduleNodeId[0][cusp],
arcNodeId[n1], sinusNodeId[n1 + 1], upperNodeId[0][n2 + 1], noduleNodeId[1][cusp] ]
remapEftNodeValueLabel(eft1, [ 4, 8 ], Node.VALUE_LABEL_D_DS1, [ ( Node.VALUE_LABEL_D_DS1, [1] ) ])
remapEftNodeValueLabel(eft1, [ 4, 8 ], Node.VALUE_LABEL_D_DS2, [ ( Node.VALUE_LABEL_D_DS3, [] ) ])
remapEftNodeValueLabel(eft1, [ 5 ], Node.VALUE_LABEL_D_DS2, [ ( Node.VALUE_LABEL_D_DS1, [1] ) ])
remapEftNodeValueLabel(eft1, [ 6 ], Node.VALUE_LABEL_D_DS2, [ ( Node.VALUE_LABEL_D_DS2, [1] ) ])
remapEftNodeValueLabel(eft1, [ 7 ], Node.VALUE_LABEL_D_DS1, [ ( Node.VALUE_LABEL_D_DS1, [1] ) ])
else:
nids = [ lowerNodeId[0][n1 + 1], lowerNodeId[0][n1 - 4], noduleNodeId[0][cusp], upperNodeId[0][n2 - 8],
sinusNodeId[n1 + 1], arcNodeId[n1 + 1], noduleNodeId[1][cusp], upperNodeId[0][n2 + 3] ]
remapEftNodeValueLabel(eft1, [ 3, 7 ], Node.VALUE_LABEL_D_DS2, [ ( Node.VALUE_LABEL_D_DS3, [] ) ])
remapEftNodeValueLabel(eft1, [ 3, 7 ], Node.VALUE_LABEL_D_DS1, [ ( Node.VALUE_LABEL_D_DS2, [] ) ])
remapEftNodeValueLabel(eft1, [ 4, 8 ], Node.VALUE_LABEL_D_DS1, [ ( Node.VALUE_LABEL_D_DS1, [1] ) ])
remapEftNodeValueLabel(eft1, [ 5 ], Node.VALUE_LABEL_D_DS2, [ ( Node.VALUE_LABEL_D_DS2, [1] ) ])
remapEftNodeValueLabel(eft1, [ 6 ], Node.VALUE_LABEL_D_DS2, [ ( Node.VALUE_LABEL_D_DS1, [] ) ])
result = elementtemplate1.defineField(coordinates, -1, eft1)
element = mesh.createElement(elementIdentifier, elementtemplate1)
result2 = element.setNodesByIdentifier(eft1, nids)
result3 = element.setScaleFactors(eft1, scalefactors) if scalefactors else None
#print('create semilunar cusp', cusp, e, 'element',elementIdentifier, result, result2, result3, nids)
elementIdentifier += 1
for meshGroup in meshGroups:
meshGroup.addElement(element)
fm.endChange()
return annotationGroups