Discontinuous Galerkin simulation of sliding geometries using a point-to-point interpolation technique
J. Comput. Phys., vol. 524, pp. 113734 (2025)
@article{lahooti-2025,
title = {Discontinuous Galerkin simulation of sliding geometries using a point-to-point interpolation technique},
author = {Lahooti, M. and Laughton, E. and Ye, J. and Cantwell, C. D. and Moxey, D.},
journal = jcp,
volume = {524},
pages = {113734},
year = {2025},
doi = {10.1016/j.jcp.2025.113734},
url = {https://www.sciencedirect.com/science/article/pii/S0021999125000178},
abstract = {The high-fidelity modelling of geometry which rotates or translates is a key requirement in fluid mechanics applications, enabling the simulation of parts such as rotors and pressure cascades. These prescribed motions can be imposed through movement of the mesh representing the problem, where an interface is constructed across the non-conformal interface bridging the static and moving regions of the mesh, and the challenge is in maintaining solution accuracy of the numerical method across this interface. In this work, we consider the application of a point-to-point interpolation technique leveraging the high-order discontinuous Galerkin method, which has the advantage of being capable of handling complex interfaces that might not be possible under other interpolation techniques. We consider the use of this method within linear and non-linear hyperbolic systems, including the compressible Euler and Navier-Stokes equations, including a detailed analysis of observed error for canonical problems such as flow past a rotating cylinder.}
}
Simulating parts that rotate or translate, such as rotors and pressure cascades, means moving the mesh and joining it to the static region across a non-conformal interface without losing accuracy. This paper applies a point-to-point interpolation technique within the high-order discontinuous Galerkin method, and analyses the error for problems such as flow past a rotating cylinder.
Abstract
The high-fidelity modelling of geometry which rotates or translates is a key requirement in fluid mechanics applications, enabling the simulation of parts such as rotors and pressure cascades. These prescribed motions can be imposed through movement of the mesh representing the problem, where an interface is constructed across the non-conformal interface bridging the static and moving regions of the mesh, and the challenge is in maintaining solution accuracy of the numerical method across this interface. In this work, we consider the application of a point-to-point interpolation technique leveraging the high-order discontinuous Galerkin method, which has the advantage of being capable of handling complex interfaces that might not be possible under other interpolation techniques. We consider the use of this method within linear and non-linear hyperbolic systems, including the compressible Euler and Navier-Stokes equations, including a detailed analysis of observed error for canonical problems such as flow past a rotating cylinder.