A second-order self-adjusting steepness based remapping method for arbitrary quadrilateral meshes

TL;DR

This paper introduces a novel two-dimensional self-adjusting steepness limiter for remapping in arbitrary quadrilateral meshes, enhancing the ALE method with low dissipation and improved accuracy.

Contribution

It proposes a new 2D steepness parameter calculation and a self-adjusting limiter, advancing remapping techniques for arbitrary quadrilateral meshes.

Findings

Effective in reducing dissipation during remapping.

Compatible with existing ALE frameworks.

Improves accuracy of mesh-based simulations.

Abstract

In this paper, based on the idea of self-adjusting steepness based schemes[5], a two-dimensional calculation method of steepness parameter is proposed, and thus a two-dimensional self-adjusting steepness based limiter is constructed. With the application of such limiter to the over-intersection based remapping framework, a low dissipation remapping method has been proposed that can be applied to the existing ALE method.