arXiv Open Access 2022

Shape Optimization for the Mitigation of Coastal Erosion via Smoothed Particle Hydrodynamics

Luka Schlegel Volker Schulz

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Abstrak

Adjoint-based shape optimization most often relies on Eulerian flow field formulations. However, since Lagrangian particle methods are the natural choice for solving sedimentation problems in oceanography, extensions to the Lagrangian framework are desirable. For the mitigation of coastal erosion, we perform shape optimization for fluid flows, that are described by Lagrangian shallow water equations and discretized via smoothed particle hydrodynamics. The obstacle's shape is hereby optimized over an appropriate cost function to minimize the height of water waves along the shoreline based on shape calculus. Theoretical results will be numerically verified by exploring different scenarios.

Topik & Kata Kunci

physics.flu-dyn math.OC

Penulis (2)

Luka Schlegel

Volker Schulz

Format Sitasi

APA MLA BibTeX

Schlegel, L., Schulz, V. (2022). Shape Optimization for the Mitigation of Coastal Erosion via Smoothed Particle Hydrodynamics. https://arxiv.org/abs/2203.09916

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓