activity
20102026
most citedSolving the stationary Liouville equation via a boundary element method

36 citations · 157 across the 13 of their papers we have counts for

collaborators

15 papers

physics.flu-dyn2026

Direct numerical simulations of turbulent drag reduction via piezoelectric actuation

Amir Amjadimanesh, Aman Kidanemariam, David Chappell +2

We have conducted Direct Numerical Simulations of turbulent half-channel flow over realistic surface deformations at friction Reynolds number . We generated the surface d…

nlin.PS2024

Delamination Detection in Layered Waveguides using Ostrovsky Wave Packets

J. S. Tamber, D. J. Chappell, M. R. Tranter

We examine the scattering of Ostrovsky wave packets, generated from an incident solitary wave, in a two layered waveguide with a delamination in the centre and soft (imperfect) bon…

physics.comp-ph2023

On Direction Preserving Discretizations for Computing Phase-Space Densities

David J. Chappell, Martin Richter, Gregor Tanner

Ray flow methods provide efficient tools for modelling wave energy transport in complex systems at high-frequencies. We compare two Petrov-Galerkin discretizations of a phase-space…

nlin.PS2023

Detecting Delamination via Nonlinear Wave Scattering in a Bonded Elastic Bar

J. S. Tamber, D. J. Chappell, J. C. Poore +1

In this paper we examine the effect of delamination on wave scattering, with the aim of creating a control measure for layered waveguides of various bonding types. Previous works h…

math.NA2021

A direction preserving discretization for computing phase-space densities

David J. Chappell, Jonathan J. Crofts, Martin Richter +1

Ray flow methods are an efficient tool to estimate vibro-acoustic or electromagnetic energy transport in complex domains at high-frequencies. Here, a Petrov-Galerkin discretization…

nlin.CD2019★ 7 cited

Transfer operator approach to ray-tracing in circular domains

J Slipantschuk, M Richter, D J Chappell +3

The computation of wave-energy distributions in the mid-to-high frequency regime can be reduced to ray-tracing calculations. Solving the ray-tracing problem in terms of an operator…

physics.class-ph2016★ 4 cited

Ray and wave scattering in smoothly curved thin shell cylindrical ridges

Niels Sondergaard, David Chappell

We propose wave and ray approaches for modelling mid- and high- frequency structural vibrations through smoothed joints on thin shell cylindrical ridges. The models both emerge fro…

physics.comp-ph2016★ 12 cited

Transport of phase space densities through tetrahedral meshes using discrete flow mapping

Janis Bajars, David Chappell, Niels Sondergaard +1

Discrete flow mapping was recently introduced as an efficient ray based method determining wave energy distributions in complex built up structures. Wave energy densities are trans…

physics.comp-ph2016

On sparse reconstructions in near-field acoustic holography using the method of superposition

Nadia M. Abusag, David J. Chappell

The method of superposition is proposed in combination with a sparse optimisation algorithm with the aim of finding a sparse basis to accurately reconstruct the structural…

math.NA2014

Boundary integral solution of potential problems arising in the modelling of electrified oil films

David J. Chappell

We consider a class of potential problems on a periodic half-space for the modelling of electrified oil films, which are used in the development of novel switchable liquid optical…

nlin.CD2014★ 14 cited

A boundary integral formalism for stochastic ray tracing in billiards

David J. Chappell, Gregor Tanner

Determining the flow of rays or particles driven by a force or velocity field is fundamental to modelling many physical processes, including weather forecasting and the simulation…

physics.comp-ph2013★ 35 cited

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

David Chappell, Gregor Tanner, Niels Sondergaard +1

Energy distributions of high frequency linear wave fields are often modelled in terms of flow or transport equations with ray dynamics given by a Hamiltonian vector field in phase…

physics.comp-ph2012★ 36 cited

Solving the stationary Liouville equation via a boundary element method

David J. Chappell, Gregor Tanner

Intensity distributions of linear wave fields are, in the high frequency limit, often approximated in terms of flow or transport equations in phase space. Common techniques for sol…

physics.comp-ph2012★ 29 cited

Boundary element dynamical energy analysis: a versatile method for solving two or three dimensional wave problems in the high frequency limit

David J. Chappell, Gregor Tanner, Stefano Giani

Dynamical energy analysis was recently introduced as a new method for determining the distribution of mechanical and acoustic wave energy in complex built up structures. The techni…

nlin.CD2010★ 20 cited

Dynamical energy analysis for built-up acoustic systems at high frequencies

D. J. Chappell, S. Giani, G. Tanner

Standard methods for describing the intensity distribution of mechanical and acoustic wave fields in the high frequency asymptotic limit are often based on flow transport equations…