Methods

len(line::AbstractLine) -> Any

Length of line

len(t::AbstractTriangle) -> Any

Circumference of the triangle

area(polygon::Polygon2D) -> Any

Compute the unsigned area of a 2D polygon using the shoelace formula. The polygon is split into triangles anchored at the first vertex for numerical robustness.

area(c::AbstractCube2D) -> Any

Signed area of 2D cube

area(t::AbstractTriangle2D) -> Any

Unsigned area of triangle

area(t::AbstractTriangle3D) -> Any

volume(c::AbstractCube3D) -> Any

Signed volume of 3D cube

volume(t::PhysicalMeshes.AbstractTetrahedron) -> Any

Unsigned volume of tetrahedron

center(line::AbstractLine) -> Any

Average position of line vertices.

centroid(line::AbstractLine) -> Any

Average position of line vertices.

centroid(t::AbstractTriangle) -> Any

Averaged position center of triangle

centroid(t::PhysicalMeshes.AbstractTetrahedron) -> Any

Averaged position center of the tetrahedron

midpoint(line::AbstractLine) -> Any

Average position of line vertices.

orient(
    a::PhysicalParticles.AbstractPoint2D,
    b::PhysicalParticles.AbstractPoint2D,
    c::PhysicalParticles.AbstractPoint2D
) -> Union{PhysicalParticles.PVector, PhysicalParticles.PVector2D}

Computes the 2D orientation. The result is also a rough approximation of twice the signed area. Returns zero when the three points are collinear.

orient(
    a::PhysicalParticles.AbstractPoint3D,
    b::PhysicalParticles.AbstractPoint3D,
    c::PhysicalParticles.AbstractPoint3D
) -> Union{PhysicalParticles.PVector, PhysicalParticles.PVector2D}

Computes the 3D orientation of the triangle (a, b, c) and returns the normal vector whose magnitude is twice the signed area. For collinear points the returned vector has zero magnitude.

orient(
    a::PhysicalParticles.AbstractPoint3D,
    b::PhysicalParticles.AbstractPoint3D,
    c::PhysicalParticles.AbstractPoint3D,
    d::PhysicalParticles.AbstractPoint3D
) -> Any

Computes the 3D orient. The result is a rough approximation of six times the signed volume of the tetrahedron (a, b, c, d). The value is zero when the four points are coplanar.

orient(
    t::AbstractTriangle
) -> Union{PhysicalParticles.PVector, PhysicalParticles.PVector2D}

Orientation vector of triangle (return a PVector). See also orientation

orient(t::PhysicalMeshes.AbstractTetrahedron) -> Any

• Return a positive number if positively oriented.
• Return a negative number if negatively oriented.
• Return zero if not oriented (indicating the tetrahedron has zero volume)

orientation(
    t::AbstractTriangle2D
) -> Union{NegativelyOriented, PositivelyOriented, UnOriented}

Orientation of triangle. Return a trait (NegativelyOriented, PositivelyOriented, or UnOriented)

orientation(
    t::PhysicalMeshes.AbstractTetrahedron
) -> Union{NegativelyOriented, PositivelyOriented, UnOriented}

Orientation of tetrahedron. Return a trait (NegativelyOriented, PositivelyOriented, or UnOriented)

circumcenter(
    a::PhysicalParticles.AbstractPoint2D,
    b::PhysicalParticles.AbstractPoint2D,
    c::PhysicalParticles.AbstractPoint2D
) -> PhysicalParticles.PVector2D

Compute the circumcenter of three 2D points.

Throws an ArgumentError if the three points are collinear (no unique circumcenter exists).

circumcenter(
    a::PhysicalParticles.AbstractPoint3D,
    b::PhysicalParticles.AbstractPoint3D,
    c::PhysicalParticles.AbstractPoint3D
) -> Union{PhysicalParticles.PVector, PhysicalParticles.PVector2D}

Compute the circumcenter of three 3D points.

Throws an ArgumentError if the three points are collinear (no unique circumcenter exists).

circumcenter(
    a::PhysicalParticles.AbstractPoint3D,
    b::PhysicalParticles.AbstractPoint3D,
    c::PhysicalParticles.AbstractPoint3D,
    d::PhysicalParticles.AbstractPoint3D
) -> Union{PhysicalParticles.PVector, PhysicalParticles.PVector2D}

Compute the circumcenter of four 3D points (the center of the circumscribed sphere of a tetrahedron).

Throws an ArgumentError if the four points are coplanar (no unique circumcenter exists).

circumcenter(
    t::AbstractTriangle
) -> Union{PhysicalParticles.PVector, PhysicalParticles.PVector2D}

Return the circumcenter of triangle (as a PVector or PVector2D)

circumcenter(
    t::PhysicalMeshes.AbstractTetrahedron
) -> Union{PhysicalParticles.PVector, PhysicalParticles.PVector2D}

Return the circumsphere center of tetrahedron

incircle(
    t::AbstractTriangle2D,
    p::PhysicalParticles.AbstractPoint2D
) -> Union{Exterior, Interior, OnEdge}

Test whether a point locates inside the circumcircle of triangle. Return a trait (Interior, Exterior, or OnEdge)

insphere(
    t::PhysicalMeshes.AbstractTetrahedron,
    p::PhysicalParticles.AbstractPoint3D
) -> Union{Exterior, Interior, OnEdge}

Test whether a point locates inside the circumsphere center of tetrahedron. Return a trait (Interior, Exterior, or OnEdge)

interior(s::Sphere, p) -> Bool

Return true if the distance of p from s.center is smaller than s.radius. Otherwise (>=), return false.

interior(
    c::Cube2D,
    p::PhysicalParticles.AbstractPoint2D
) -> Bool

Return true if p is inside the cube. Otherwise (including on the edge), return false.

interior(
    c::Cube,
    p::PhysicalParticles.AbstractPoint3D
) -> Bool

Return true if p is inside the cube. Otherwise (including on the edge), return false.

exterior(s::Sphere, p) -> Bool

Return true if the distance of p from s.center is larger than s.radius. Otherwise (<=), return false.

exterior(
    c::Cube2D,
    p::PhysicalParticles.AbstractPoint2D
) -> Bool

Return true if p is outside the cube. Otherwise (including on the edge), return false.

exterior(
    c::Cube,
    p::PhysicalParticles.AbstractPoint3D
) -> Bool

Return true if p is outside the cube. Otherwise (including on the edge), return false.

assignmesh(
    particles::StructArrays.StructArray,
    mesh::MeshCartesianStatic,
    symbolParticle::Symbol,
    symbolMesh::Symbol
) -> Any

Assign mesh data by mass assignment shemes

Example

assignmesh(data, m, :Mass, :rho)

assignparticle(
    particles::StructArrays.StructArray,
    mesh::MeshCartesianStatic,
    symbolParticle::Symbol,
    symbolMesh::Symbol
) -> Any

Assign particle data by inverse mass assignment.

Examples

assignparticle(data, m, :Acc, :acc)