Repository owner: Hugo Vale (HugoMVale)
High-resolution WENO reconstruction and TVD integration for conservation equations.
Repository · Pinned source (2885105a7ba9) · Try in playground · Checked package example
Topics: conservation-laws, finite-volumes, fortran, fpm, high-resolution, hyperbolic-equations, partial-differential-equations, pde, reconstruction, runge-kutta, tvd, weno, weno-schemes
WENO spatial reconstruction and explicit TVD Runge-Kutta integration for conservation equations. The main checks a smooth periodic advection problem against exact cell averages and verifies conservation of mass; discontinuous solutions and nonuniform grids are not covered.
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Build record verified 2026-10-28.
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Module: hrweno_weno
I2: verified
Derivatives / callbacks: not applicable
WENO spatial reconstruction and explicit TVD Runge-Kutta integration for conservation equations. The main checks a smooth periodic advection problem against exact cell averages and verifies conservation of mass; discontinuous solutions and nonuniform grids are not covered.
Pinned source: src/hrweno_weno.f90
Author examples/tests: example/example1_burgers_1d_fv.f90
Module: hrweno_tvdode
I1: verified
Derivatives / callbacks: not applicable
WENO spatial reconstruction and explicit TVD Runge-Kutta integration for conservation equations. The main checks a smooth periodic advection problem against exact cell averages and verifies conservation of mass; discontinuous solutions and nonuniform grids are not covered. Dedicated I1 consumer checks 12 prescribed single-step-mode integrations at orders 1..3, with 8/16/32/64 dyadic steps to t=1. Independent stability-polynomial powers, exact nonautonomous forcing, exponential solutions, order-dependent grid convergence and function-evaluation counts are required. Uses documented itask=2; ordinary interval mode has a source TODO concerning final-step overshoot and is outside this verification. Spatial WENO, multistep mode, backward integration and stiffness are not verified.
Pinned source: src/hrweno_tvdode.f90