Struct CartesianIdentity3d 

pub struct CartesianIdentity3d<R>
where
    R: CfdScalar + ConjugateScalar<Real = R>,
{ /* private fields */ }

The Cartesian identity coordinate over a 2^Lx × 2^Ly × 2^Lz lattice with physical spacing (dx, dy, dz).

Implementations

impl<R> CartesianIdentity3d<R>

where R: CfdScalar + ConjugateScalar<Real = R>,

pub fn new( lx: usize, ly: usize, lz: usize, dx: R, dy: R, dz: R, trunc: Truncation<R>, ) -> Result<Self, PhysicsError>

Build the identity chart on a 2^lx × 2^ly × 2^lz lattice with physical spacing (dx, dy, dz).

Errors

Propagates operator-assembly / codec errors.

Trait Implementations

impl<R> MetricProvider3d<R> for CartesianIdentity3d<R>

where R: CfdScalar + ConjugateScalar<Real = R>,

fn dims(&self) -> (usize, usize, usize)

The computational lattice mode counts (Lx, Ly, Lz) (grid is 2^Lx × 2^Ly × 2^Lz).

fn sample<F>(&self, f: F) -> Result<CausalTensorTrain<R>, PhysicsError>

where F: Fn(R, R, R) -> R,

Sample f(ξ, η, ζ) on the computational lattice (ξ_i = i/Nx, η_j = j/Ny, ζ_k = k/Nz) and QTT-encode it.

fn physical_gradient( &self, u: &CausalTensorTrain<R>, ) -> Result<PhysicalGradient3d<R>, PhysicsError>

The physical gradient (∂u/∂x, ∂u/∂y, ∂u/∂z) of a field u carried in this coordinate, via the chain rule and the low-rank metric.

fn jacobian(&self) -> &CausalTensorTrain<R>

The Jacobian determinant |J| (the conservative volume factor) as a low-rank tensor train.