Low-order Prandtl-Glauert-Lorentz based Absorbing Boundary Conditions for solving the convected Helmholtz equation with Discontinuous Galerkin methods

被引：8

作者：

Barucq, Helene ^{[1
]}

Rouxelin, Nathan ^{[1
,2
]}

Tordeux, Sebastien ^{[1
]}

机构：

[1] Univ Pau & Pays Adour, MAKUTU, Inria, TotalEnergies,CNRS, Pau, France

[2] Normandie Univ, Lab Math INSA, INSA Rouen Normandie, Rouen, France

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2022年 / 468卷

关键词：

Convected Helmholtz equation; Absorbing Boundary Conditions; ABC; Prandtl Glauert Lorentz transformation; PERFECTLY MATCHED LAYER; ACOUSTIC SCATTERING; RIGID BODIES; FLOW; RADIATION; SOUND;

D O I：

10.1016/j.jcp.2022.111450

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We construct Absorbing Boundary Conditions (ABCs) for the convected Helmholtz equation that are easy to implement in a Hybridizable Discontinuous Galerkin (HDG) formulation. The construction is based upon the Prandtl-Glauert-Lorentz map which transforms the convected Helmholtz equation into the regular Helmholtz equation. The new ABCs are thus issued from classical Bayliss-Gunztburger-Turkel ABCs and are valid for carrier flows that vary inside the computational domain but become uniform far away from the source. They lead to accurate numerical results for low and intermediate Mach numbers using a HDG formulation with the acoustic potential and the total flux as unknowns. (c) 2022 Elsevier Inc. All rights reserved.

引用

页数：25

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