New algorithm solves acoustic design problems faster and more reliably
Researchers have developed a computational method that optimizes acoustic systems—from underwater sensors to industrial noise control—while guaranteeing mathematical stability. The breakthrough could accelerate product development cycles and reduce engineering costs in industries relying on sound wave behavior, from defense to telecommunications.
Originaltitel: Acoustic shape optimization using energy stable curvilinear finite differences
<p>A gradient-based method for shape optimization problems constrained by the acoustic wave equation is presented. The method makes use of high-order accurate finite differences with summation-by-parts properties on multiblock curvilinear grids to discretize in space. Representing the design domain through a coordinate mapping from a reference domain, the design shape is obtained by inverting for the discretized coordinate map. The adjoint state framework is employed to efficiently compute the gradient of the loss functional. Using the summation-by-parts properties of the finite difference discretization, we prove stability and dual consistency for the semi-discrete forward and adjoint problems. Numerical experiments verify the accuracy of the finite difference scheme and demonstrate the capabilities of the shape optimization method on two model problems with real-world relevance.</p>