Khajah, Tahsin[University of Texas at Tyler, USA > Department of Mechanical Engineering]
Bordas, Stéphane[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit > ; Institute of Mechanics and Advanced Materials, School of Engineering, Cardiff University, United Kingdom]
Atroshchenko, Elena[University of Chile, Santiago 8370448, ChileUniversity of Chile, Santiago 8370448, Chile > Department of Mechanical Engineering]
[en] PHT-splines ; Geometry Independent Field ApproximaTion (GIFT) ; Time-harmonic acoustics ; Helmholtz problem
[en] In this work, we demonstrate the application of PHT-splines for time-harmonic acoustic problems, modeled by the Helmholtz equation. Solutions of the Helmholtz equation have two features: global oscillations associated with the wave number and local gradients caused by geometrical irregularities. We show that after a sufficient number of degrees of freedom is used to approximate global oscillations, adaptive refinement can capture local features of the solution. We compare residual-based and recovery-based error estimators and investigate the performance of -refinement. The simulations are done in the context of recently introduced Geometry Independent Field approximaTion (GIFT), where PHT-splines are only used to approximate the solution, while the computational domain is parameterized with NURBS. This approach builds on the natural adaptation ability of PHT-splines and avoids the re-parameterization of the NURBS geometry during the solution refinement process.
Researchers ; Professionals ; Students ; General public ; Others
[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit > ; Institute of Mechanics and Advanced Materials, School of Engineering, Cardiff University, United Kingdom]
