A skeletal high-order structure preserving scheme for advection-diffusion equations - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2023

A skeletal high-order structure preserving scheme for advection-diffusion equations

Résumé

We introduce a nonlinear structure preserving high-order scheme for anisotropic advection-diffusion equations. This scheme, based on Hybrid High-Order methods, can handle general meshes. It also has an entropy structure, and preserves the positivity of the solution. We present some numerical simulations showing that the scheme converges at the expected order, while preserving positivity and long-time behaviour.
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Dates et versions

hal-04036599 , version 1 (19-03-2023)
hal-04036599 , version 2 (20-07-2023)

Identifiants

  • HAL Id : hal-04036599 , version 1

Citer

Julien Moatti. A skeletal high-order structure preserving scheme for advection-diffusion equations. 2023. ⟨hal-04036599v1⟩
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