Module kernel

Expand description

A crate for approximating numerical operators on uniform rectangular meshes using finite differencing.

Structs§

Derivative: Derivative operation of a given order.
DirichletParams
Dissipation: Kriss Olgier dissipation of the given order.
Element: A reference element defined on [-1, 1]^N. This element implements code for wavelet transformations and general operator approximation, whereas NodeSpace implements a much stricter subset of operations with fixed precomputed weights.
EmptyConditions
Gradient: Computes the gradient along the given axis.
Hessian: Computes the mixed derivative of the given axes.
Interpolation
NodeCartesianIter: A helper for iterating over a node window.
NodePlaneIter: A helper for iterating over a plane in a node window.
NodeSpace: A uniform rectangular domain of nodes to which various derivative and interpolations can be applied.
NodeWindow: Defines a rectagular region of a larger NodeSpace.
RadiativeParams: Describes a radiative boundary condition at a point on the boundary.
ScalarConditions: Transforms a single condition into a set of Conditions<N> where Self::System = Scalar.
SecondDerivative: Second derivative operator of a given order.
Unimplemented: Unimplemented Kernel (used for debugging)
Value: Value operation.

Border
BoundaryClass
BoundaryKind: Indicates what type of boundary condition is used along a particualr face of the domain. More specific boundary conditions are provided by the Condition API, but for many funtions, Boundary provides enough information to compute supports and apply stencils.

BoundaryConds: Provides specifics for enforcing boundary conditions for a particular field.
Convolution: A N-dimensional tensor product of several seperable kernels.
Interpolant
Kernel
SystemBoundaryConds: A generalization of Condition<N> for a coupled systems of scalar fields.

is_boundary_compatible: Checks whether a set of boundary conditions are compatible with the given ghost flags.
node_from_vertex: Converts a (unsigned) vertex index into an (signed) node index.
vertex_from_node: Converts a (signed) node index into an (unsigned) vertex index.