Isogeometric Analysis of Acoustic Scattering with Perfectly Matched Layers (IGAPML)

TL;DR

This paper introduces a spline-based PML formulation within the isogeometric analysis framework, enhancing the handling of acoustic scattering problems by improving accuracy, reducing computational costs, and simplifying domain construction.

Contribution

It develops a novel spline-based PML method that eliminates the need for coordinate transformations, enabling automated, flexible, and more accurate acoustic scattering simulations.

Findings

Spline-based PML improves numerical accuracy.

Method reduces computational cost and domain restrictions.

Enhanced mesh quality through higher continuity basis functions.

Abstract

The perfectly matched layer (PML) formulation is a prominent way of handling radiation problems in unbounded domain and has gained interest due to its simple implementation in finite element codes. However, its simplicity can be advanced further using the isogeometric framework. This work presents a spline based PML formulation which avoids additional coordinate transformation as the formulation is based on the same space in which the numerical solution is sought. The procedure can be automated for any convex artificial boundary. This removes restrictions on the domain construction using PML and can therefore reduce computational cost and improve mesh quality. The usage of spline basis functions with higher continuity also improves the accuracy of the numerical solution.