Struct Analytic 

pub struct Analytic<F>(pub F);

A field from a closure, for the common case where the physics is a formula.

Tuple Fields

0: F

Trait Implementations

impl<F: Fn(LengthVec, Time) -> f64> ScalarField for Analytic<F>

fn at(&self, p: LengthVec, t: Time) -> f64

The value at a place and time, in this field’s SI base unit.

fn gradient(&self, p: LengthVec, t: Time, h: Length) -> DVec3

∇f, by central differences over h. Units are the field’s per metre.

fn laplacian(&self, p: LengthVec, t: Time, h: Length) -> f64

∇²f — the operator that makes diffusion diffuse. A point hotter than the average of its neighbours has a negative Laplacian and cools; that is the whole content of the heat equation.

fn rate(&self, p: LengthVec, t: Time, dt: Time) -> f64

∂f/∂t, by a central difference in time.

impl<F: Fn(LengthVec, Time) -> DVec3> VectorField for Analytic<F>

fn at(&self, p: LengthVec, t: Time) -> DVec3

The value at a place and time, in this field’s SI base unit.

fn divergence(&self, p: LengthVec, t: Time, h: Length) -> f64

∇·F — net outflow per unit volume. Zero everywhere means nothing is being created or destroyed, which is how a conservation law is written locally.

fn curl(&self, p: LengthVec, t: Time, h: Length) -> DVec3

∇×F — local rotation. Zero everywhere means the field is a gradient of something, which is why an electrostatic field has a potential and a magnetic one does not.