.png){kind=icon}
.png){kind=icon}
Return
A characteristic mapping method with source: Terms applications to ideal
.png){kind=icon}
OA
AI
X
P
J
K
DOI：10.1016/j.jcp.2026.114766.png)
.png){kind=icon}
.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
This work introduces a generalized characteristic mapping method designed to handle non-linear advection with source terms. The semi-Lagrangian approach advances the flow map, incorporating the source term via the Duhamel integral. We derive a recursive formula for the time decomposition of the map and the source term integral, enhancing computational efficiency. Benchmark computations are presented for a test case with an exact solution and for two-dimensional ideal incompressible magnetohydrodynamics (MHD). Results demonstrate third-order accuracy in both space and time. The submap decomposition method achieves exceptionally high resolution, as illustrated by zooming into fine-scale current sheets. An error estimate is performed and suggests third order convergence in space and time, which is in agreement with the numerical results.
Keywords:
Characteristic mapping method
Magnetohydrodynamics
Non-linear advection
Inhomogeneous advection
AI Summary
Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.
Journal
IF:
3.8
Papers:
1.5W
Citations:
7.4W
Organization
Cited Papers