33 citations · 46 across the 5 of their papers we have counts for
5 papers
Using geometric algebra to represent curvature in shell theory with applications to Starling resistors
Alastair L Gregory, Anurag Agarwal, Joan Lasenby
We present a novel application of rotors in geometric algebra to represent the change of curvature tensor, that is used in shell theory as part of the constitutive law. We introduc…
The Elastic Theory of Shells using Geometric Algebra
Alastair Gregory, Joan Lasenby, Anurag Agarwal
We present a novel derivation of the elastic theory of shells. We use the language of Geometric algebra, which allows us to express the fundamental laws in component-free form, thu…
Geometric algebra and an acoustic space time for propagation in non-uniform flow
Alastair Gregory, Anurag Agarwal, Joan Lasenby +1
This study aims to make use of two concepts in the field of aeroacoustics; an analogy with relativity, and Geometric Algebra. The analogy with relativity has been investigated in p…
An acoustic space-time and the Lorentz transformation in aeroacoustics
Alastair Logan Gregory, Samuel Sinayoko, Anurag Agarwal +1
In this paper we introduce concepts from relativity and geometric algebra to aeroacoustics. We do this using an acoustic space-time transformation within the framework of sound pro…
Towards Scalable Parallel-in-Time Turbulent Flow Simulations
Qiqi Wang, Steven Gomez, Patrick Blonigan +2
We present a reformulation of unsteady turbulent flow simulations. The initial condition is relaxed and information is allowed to propagate both forward and backward in time. Simul…