|
Abstract
|
In computational acoustics, the wave equation must be accurately and efficiently simulated in order to support applications like seismic wave modeling, architectural acoustics, medical ultrasound, noise control, and sonar design. Because of numerical dispersion, stability problems, and inefficiency on complex geometries, traditional numerical technique such as finite difference and continuous finite element schemes frequently struggle to capture wave propagation over extended time intervals. This makes sophisticated approaches that can offer accuracy and robustness extremely necessary. By treating time and space in a single variational framework, the variational space-time discontinuous Galerkin approach overcomes these difficulties and offers superior stability properties, high-order accuracy, and local adaptivity over classical approaches. It is especially crucial for contemporary acoustic simulations because of its capacity to manage intricate boundary conditions, diverse media, and massive computations. The development of a dependable and effective computational tool that enhances the modeling of acoustic wave phenomena makes this research crucial for both theoretical acoustics and real-world engineering applications.
|