Discrete flow mapping: transport of phase space densities on triangulated surfaces

DOI10.1098/rspa.2013.0153zbMath1371.76105arXiv1303.4249OpenAlexW3099783914MaRDI QIDQ5362153

Gregor Tanner, D. Löchel, Niels Søndergaard, David J. Chappell

Publication date: 29 September 2017

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4249

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Particle methods and lattice-gas methods (76M28) Hydro- and aero-acoustics (76Q05)

Related Items (10)

Improved approximation of phase-space densities on triangulated domains using discrete flow mapping with \(p\)-refinement ⋮ A boundary integral formalism for stochastic ray tracing in billiards ⋮ Propagating wave correlations in complex systems ⋮ Transport of phase space densities through tetrahedral meshes using discrete flow mapping ⋮ A phase-space approach for propagating field–field correlation functions ⋮ Transfer operator approach to ray-tracing in circular domains ⋮ Dynamical energy analysis on mesh grids: a new tool for describing the vibro-acoustic response of complex mechanical structures ⋮ Tunnelling around bends -- wave scattering in curved shell structures ⋮ Elastodynamics on graphs—wave propagation on networks of plates ⋮ A Direction Preserving Discretization for Computing Phase-Space Densities

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