scimba_torch.domain.meshless_domain.domain_2d

Basic Volumetric and Surfacic domains in 2D.

Classes

ArcCircle2D(center, radius, theta1, theta2)	ArcCircle2D domain.
Circle2D(center, radius)	Circle2D domain.
Disk2D(center, radius[, is_main_domain])	Disk2D domain.
Polygon2D(vertices[, threshold, is_main_domain])	Polygon2D domain.
Segment2D(pt1, pt2)	Segment2D domain.
Square2D(bounds[, is_main_domain])	Square2D domain.

class Segment2D(pt1, pt2)

Bases: SurfacicDomain

Segment2D domain.

Parameters:

• pt1 (tuple[float, float] | Tensor) – First point of the segment.

• pt2 (tuple[float, float] | Tensor) – Second point of the segment.

get_sdf()

Get the signed distance function of the segment.

Return type:

Callable[[Tensor], Tensor]

Returns:

The signed distance function of the segment.

class Circle2D(center, radius)

Bases: SurfacicDomain

Circle2D domain.

Parameters:

• center (tuple[float, float] | Tensor) – Center of the circle.

• radius (float) – Radius of the circle.

get_sdf()

Get the signed distance function of the circle.

Return type:

Callable[[Tensor], Tensor]

Returns:

The signed distance function of the circle.

class ArcCircle2D(center, radius, theta1, theta2)

Bases: SurfacicDomain

ArcCircle2D domain.

Parameters:

• center (tuple[float, float] | Tensor) – Center of the circle.

• radius (float) – Radius of the circle.

• theta1 (float) – Start angle of the arc in radians.

• theta2 (float) – End angle of the arc in radians.

get_sdf()

Get the signed distance function of the arc.

Returns:

The signed distance function of the arc.

class Square2D(bounds, is_main_domain=False)

Bases: VolumetricDomain

Square2D domain.

Parameters:

• bounds (list[tuple[float, float]]) – Bounds of the square in the form [(min_x, max_x), (min_y, max_y)].

• is_main_domain (bool) – Whether this domain is the main domain.

Raises:

ValueError – If bounds is not of shape (2, 2).

full_bc_domain()

Return the full boundary domain of the Square2D.

Return type:

list[Segment2D]

Returns:

A list containing the four boundary Segment2D domains.

class Polygon2D(vertices, threshold=0.01, is_main_domain=False)

Bases: VolumetricDomain

Polygon2D domain.

The vertices must be given in counter-clockwise order.

Parameters:

• vertices (list[tuple[float, float]]) – Vertices of the polygon.

• threshold (float) – Threshold for the polygonal approximation.

• is_main_domain (bool) – Whether this domain is the main domain.

full_bc_domain()

Return the full boundary domain of the Polygon2D.

Return type:

list[SurfacicDomain]

Returns:

A list containing the boundary Segment2D domains.

class Disk2D(center, radius, is_main_domain=False)

Bases: VolumetricDomain

Disk2D domain.

Parameters:

• center (Tensor) – Center of the disk.

• radius (float) – Radius of the disk.

• is_main_domain (bool) – Whether this domain is the main domain.

full_bc_domain()

Return the full boundary domain of the Disk2D.

Return type:

list[SurfacicDomain]

Returns:

A list containing the boundary Circle2D domain.