Struct HeatConduction1D 

pub struct HeatConduction1D {
    pub n_nodes: usize,
    pub length: f64,
    pub temperature: Vec<f64>,
    pub material: ThermalMaterial,
}

Fourier heat conduction in 1D via explicit finite differences.

Fields

n_nodes: usize

Number of nodes (including boundary nodes).

length: f64

Domain length [m].

temperature: Vec<f64>

Current nodal temperatures [K].

material: ThermalMaterial

Material properties.

Implementations

impl HeatConduction1D

pub fn new( n_nodes: usize, length: f64, t_init: f64, material: ThermalMaterial, ) -> Self

Construct a uniform-temperature rod.

pub fn set_temperature_bc(&mut self, t_left: f64, t_right: f64)

Set Dirichlet BCs at both ends.

pub fn step_explicit(&mut self, dt: f64) -> bool

Explicit (forward-Euler) time step.

pub fn step_explicit_with_source(&mut self, dt: f64, source: f64) -> bool

Explicit step with volumetric heat source Q (W/m^3).

pub fn critical_dt(&self) -> f64

Maximum stable time step: dx^2 / (2 * alpha).

pub fn steady_state_temperature(&self, t_left: f64, t_right: f64) -> Vec<f64>

Exact steady-state temperature profile (linear between BCs).

pub fn heat_flux(&self) -> Vec<f64>

Heat flux at each interior node via central finite differences.

pub fn total_heat_content(&self) -> f64

Total heat stored in the rod (integral of rhocpT*dx).