Work

On Enhancing the Dissipative Behavior of Active Flux Advection Schemes

Year: 2026

Type: preprint

Abstract: In this work, the traditional third-order Active Flux advection scheme is modified by reformulating the method and introducing four additional parameters R, S, T, and U that allow the numerical dissipation and dispersion of the scheme to be adjusted. The influence of these parameters is studied using Fourier analysis and parameter choices that lead to schemes with improved dissipative properties are identified. These improvements are validated by numerical experiments.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2605.09669

Authors: Klingenberg, Christian, Krotsch, Simon, Roe, Philip

Institutions: University of Würzburg, University of Michigan

Language: English

Topic: Computational Fluid Dynamics and Aerodynamics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7160891650

Cites: 12

Cited by:

Related to: 10