Matthew King
Position: | Research Fellow |
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Email: | matthew.king@ucl.ac.uk |
Room: | Malet Place Engineering Building, 3.18 |
Address: | Department of Medical Physics and Biomedical Engineering University College London Malet Place Engineering Building Gower Street, London, WC1E 6BT |
About
I am a Postdoctoral Research Fellow in Theoretical and Computational Acoustics. So far my work on adapting the k-space method, through the k-wave toolbox.
My work while in this group has focused primarily thus far on the computation of the fractional time derivative within fractional loss operators in the first order waves equations. Adapting a method to be applied alongside k-wave for further analytic comparisons. This methodology allows for specially varying absorption power-laws with an improved accuracy for the size of time stepping, but an increased computational cost. This work was presented as part of the ASA spring Meeting 2024 Ottawa conference. This work has additionally been sent for review and a preprint is available on ArXiv.
Moving away from this work I have researching how we may adjust the finite difference time stepping procedure such that a variable time step may be considered within the linearised wave equations, and if the result exact method for a homogeneous non-absorbing domain may be extended to the absorbing case. This work is in-progress.
Additional work has be completed on how general shaped boundary conditions may be imposed onto a uniform grid without staircasing effects, building off of similar work completed for sources within BUG.
In addition to this I assist in the teaching of the ENGF0003: Mathematical Modeling and Analysis 1 for the Medical Physics and Biomedical Engineering Department. This was completed in academic years 2023/24 and 2024/25.
Finally, I have qualified as a mental health first aider, with MHFA England while in the group.
Journal Publications
1. | The critical layer in quadratic flow boundary layers over acoustic linings Journal Article In: Journal of Fluid Mechanics, 950 , pp. A8, 2022. |
Conference Publications
1. | Stabilisation of the hydrodynamic instability by the critical layer Conference 28th AIAA/CEAS Aeroacoustics 2022 Conference, 2022. |