Mesh update techniques for free-surface flow solvers using spectral element method

TL;DR

This paper introduces a new mesh-update technique for unsteady free-surface flows using spectral element methods, enhancing grid movement accuracy with an ALE kinematic approach.

Contribution

It presents a novel mesh-update method specifically designed for spectral element solvers in free-surface flow simulations, improving grid adaptability.

Findings

Demonstrates compatibility of the mesh-update technique with spectral element methods

Shows improved grid movement accuracy in free-surface flow simulations

Validates the method with selected numerical results

Abstract

This paper presents a novel mesh-update technique for unsteady free-surface Newtonian flows using spectral element method and relying on the arbitrary Lagrangian--Eulerian kinematic description for moving the grid. Selected results showing compatibility of this mesh-update technique with spectral element method are given.